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Friday, September 29, 2017

Weekend HW!

This weekend you must complete AND SCORE (in a different color) the 2017 Free Response question provided in class (or below)!

  1. First, do the problem! This is a great question to represent the level of difficulty and the type of comparisons we need to be able to do with boxplots! Put in your best effort!
    • Spend 15-20 minutes completing this question--write the answer just as you would on the AP exam! Be specific, be detailed, and use context!
  2. Next, take a look at the AP Scoring rubric....
    • 2017 AP Scoring Rubric (scroll down to #4, page 14)
    • Before you score anything you should read the entire rubric--read the sample answers and all of the scoring info on pages 14-17
    • THEN go back and start to focus on each part/section and begin to score yourself.
      • This question is scored in 3 sections--section 1 is part a, section 2 is part bi, and section 3 is part bii.
    • Look over the sample answers, but then focus more on the explanation of the scoring...
    • Read the rubric for each section and give yourself a score of E, P, or I.
      • You must write down some detailed notes about why you earned the score you did AND what you could have done to improve your answer (even if you got an E)
        • If you do not do this (record your score with some notes about the score) you will earn a 0 on your homework
      • Then, use your score for each section (E,P, or I) to give yourself an overall score of 1-4 based on the info on page 17!
Of course it's extremely important we put in max effort on these free response questions, and even more so, on their scoring! This is a key component to preparing ourselves to earn a "5" on the AP exam!

And if you're feeling ambitious this weekend, here's Monday's homework--you can't do it all yet, but you can do the shifting/rescaling questions...

Page 123-128: 1, 3, 5, 7, 9, 11
  • 1, 3, and 11 all deal with shifting and rescaling...
  • 5, 7 and 9 are based on z-scores, which we'll discuss Monday--but if you want to get a head start here as well, read page 103 (z-scores), 106 (back to z-scores),  the "Step by Step" example on page 107, and the "When is a Z-Score Big?" section on p. 107 to 109.
If you're ever looking for some extra practice, especially with the end of the unit approaching, try some of the examples in the "Review of Part 1" on pages 130-140--I'd just use odds to practice so you can check your answers in the back of the book!

Another homework for next week:
  • Sign up for Khan Academy and add me as a coach! 
    • Class Code = 5HS925
    • Khan has an AP Statistics course aligned with the AP exam--this is one of the best resources we have to use outside of class! 
    • It's great for extra support, practice, and review--and prep for the AP exam!
Have a great weekend! See you all Monday!




Thursday, September 28, 2017

Chapter 5 Take Home Quiz Due Tomorrow!

Not much to post today...just make sure you get that chapter 5 take home quiz done for tomorrow! No exceptions, no excuses--don't get a 0 on a quiz!
  • There is a typo in question 3b. It should read the following (sorry for any confusion):
    • Suppose that the student who scored 42 on the midterm got her grade raised to a 50. Indicate whether changing her score from a 42 to a 50 would make each of the following...
    • **This question is not an example of shifting (discussed today in class)! Shifting is when we add some number of points to every test score; in this example we're just changing one test score!
  • Use your notes! Use the AP Stats Guy and Khan Academy! Use your textbook! Use everything to get an A! (Don't just wing it--put in the work to ace this thing!)
  • Use the classwork example from yesterday to help with "comparing boxplots!"
  • Pay attention to detail! Write everything in context, and be specific! I'll be tough on the grading!
If you were absent today we had our chapter 5 vocab quiz then started our chapter 6 notes. We discussed "shifting" and "rescaling," and how these affect measures of center and spread--read about shifting and rescaling in chapter 6 and take some notes and you're caught up!

Wednesday, September 27, 2017

Ch. 5 Vocab Quiz Tomorrow!

We will have our chapter 5 vocab quiz to start class tomorrow! Here's the list of vocab that you need to know for our quiz; if you can't find the definition in your notes check out the glossary at the end of chapter 5 and the glossary at the end of chapter 4!
    • Range
    • Interquartile Range (IQR)
    • Standard Deviation (Sx)
    • Histogram (Definition: a graphical display that shows frequencies or counts of data for a given interval or for a given value)
    • Ogive
    • Boxplot
    • Stemplot
    • Mean
    • Median
    • Percentile
    • Appropriate summary statistics (for skewed vs. symmetric data)
    • Measures of center
    • Measures of spread
    • Center (from ch. 4 quiz)
    • Spread/Variability (from ch. 4 quiz)
    • Q1, Q3 (know their percentiles)

And don't forget--your chapter 5 take home quiz is due Friday! Get this done and get a head start tonight--don't save it all for tomorrow! 

After the vocab quiz tomorrow we'll start to get into chapter 6--and I can't wait! Lots of math coming in for the rest of this week and next week! Yay!

Oh, and if you're curious, check out this video on mean absolute deviation!

Mean Absolute Deviation!

Tuesday, September 26, 2017

Tuesday, Wednesay, Thursday HW....

Tonight please use the ogive to determine the 5 number summary; then, use this five number summary to create a boxplot of heights!

  • For this ogive the max and min are not the xmin and xmax on the xaxis (like they were in class)--pay attention to detail!
  • Feel free to send me a Remind message to check your 5 number summary if you like...
  • When you go to create the boxplot be sure to calculate the fences! (no fence work = not full credit for hw)
    • If the max is an outlier you will not be able to draw the "upper arm" (because we don't know the highest data value that's not an outlier)
    • Similarly, if the min is an outlier you will not be able to draw the "lower arm" (because we don't know the smallest data value that's not an outlier)
    • If there are no outliers then we can draw both arms!
    • So your boxplot may show no arms, on arm, or both arms tonight--it all depends on those fences!
Due Friday: Chapter 5 Take Home Quiz!
  • The quiz provided today in class is due Friday--use your notes to get an A!
  • Technically I'm considering this take home quiz Wednesday's homework and Thursday's homework, but feel free to get a head start...
  • We will still have our chapter 5 vocab quiz in class on Thursday! Here's what's on it:
    • Range
    • Interquartile Range (IQR)
    • Standard Deviation (Sx)
    • Histogram (Definition: a graphical display that shows frequencies or counts of data for a given interval or for a given value)
    • Ogive
    • Boxplot
    • Stemplot
    • Mean
    • Median
    • Percentile
    • Appropriate summary statistics (for skewed vs. symmetric data)
    • Measures of center
    • Measures of spread
    • Center (from ch. 4 quiz)
    • Spread/Variability (from ch. 4 quiz)
    • Q1, Q3 (know their percentiles)
Tomorrow in class we'll start with a multiple choice pop quiz (yay)! Then we'll get into groups and work on a matching assignment, followed by some more "comparing boxplots" practice! See you there! Oh, and if you want to prepare yourself for this pop quiz (no longer pop...), be sure to review the following:
  • Know how mean and median are affected by skewness (or not affected), and why
  • Know the "appropriate summary statistics" based on shape
  • Look over the boxplot MC question we had as our warmup on Friday; we'll see another boxplot-based MC tomorrow
  • And then there's a surprise question or two...see you tomorrow! :)

Oh, and check out this video on mean absolute deviation!

Mean Absolute Deviation!






Monday, September 25, 2017

Monday HW = Complete and Score AP FR!

Monday Night's Homework:

1.) Complete the 2004 AP Free Response provided in class (or below).

  • Create "parallel boxplots" simply means to use the given axis to draw two boxplots, one above the other
    • Be sure to label which boxplot represents "Modern Thai Dogs" and which represents "Golden Jackals"
    • We do not have the entire data set, so we cannot use our calculator to make the boxplot for us...
      • Take a look at your "steps for creating a boxplot" notes from the summer academy, or watch the AP Stat Guy video on boxplots!
      • Show the work for your fences (for each type of dog), and label which fences are for which group (Modern Thai v. Golden Jackal)
    • This is on your chapter 5 quiz!


2.) Score your free response question using the criteria outlined below (the 2004 rubric is a little outdated now, so I have provided an up-to-date rubric to use below). 

  • Scoring: The Boxplot
    • Scroll down to page 12 of this link (click me!) to see the correct boxplots and "fence" work
    • E (Essentially Correct):
      • Correct boxplots are drawn with each boxplot labeled, the x-axis is labeled, a title is provided, and fence work is correctly shown/labeled
    • P (Partially Correct):
      • Label for each boxplot (Modern Thai v. Golden Jackal) is omitted, OR
      • There is a minor error in the construction of the boxplots, OR
      • No outliers are shown, but the boxplot is otherwise correct
    • I (Incorrect):
      • More than one of the errors listed above (with "P")
      • The summary values are used as a full data set to construct the boxplot
  • Scoring: Comparing Distributions
    • Students should complete each of the following 5 components:
      • Describes the shape of each distribution (1 point)
      • Identifies outliers for each distribution (1 point)
      • COMPARES a measure of center (median) using context and comparative language (1 point) and explains what this means in context (1 point)
        • "Modern thai dogs have a larger median mandible length; this suggests that modern thai dogs typically have longer mandibles."
      • COMPARES a measure of spread (range or IQR) using context and comparative language (1 point) and explains what this means in context (1 point)
        • "Modern Thai dogs have a slightly larger IQR for mandible lengths; this suggests that the middle 50% of mandible lengths for modern thai dogs vary more (or that the middle 50% of mandible lengths for Golden Jackals are more consistent)." OR
        • "Golden jackals have a larger range of mandible lengths, which suggests that the mandible lengths of golden jackals vary more."
      • Student makes a correct "generally" statement (1 point) supported statistically (1 point)... 
        • Generally, Modern Thai dogs have longer mandibles; 
          • roughly 50% of modern thai dogs had longer mandibles than all of the golden jackals." OR
          • all modern thai dogs had longer mandibles than all but 3 of the golden jackals.
      • E (Essentially Correct):
        • Earns 7-8 points based on the scoring above
      • P (Partially Correct):
        • Earns 5-6 points based on the scoring above
      • I (Incorrect):
        • Student does not meet criteria for E or P
Tomorrow in class we'll wrap up chapter 5 with some discussion of standard deviation and ogives--see you there! 


Friday, September 22, 2017

Weekend HW Counts Double!

This weekend please be sure to complete the problems (in your textbook) listed below; this assignment will count double, as we've had multiple days to work through this. 

I expect to see detailed, thorough answers! Don't be lazy! Answer these like you would answer a quiz/test/AP exam question--you've had plenty of time to do so!


HW Due Monday: (problems in green have been added today)

  • Pages 91 - 100: 5, 7, 17, 21, 23d, 27, 29, 37 
    • For 21 and 23d I want you to compare the distributions in context...
      • You should compare SOCS--compare shapes, outliers, centers (medians), and spreads (ranges/IQRs). 
      • Then, write a generally statement....
      • Be sure to use comparative language--words like higher/lower, bigger/smaller, wider/more narrow, etc., especially when discussing center and spread
    • We previously completed 29ab, so you really are focusing on 29cd; however, take a look back at a,b and see if your thoughts have changed now that you know a little more about graphical displays and describing distributions!
    • Many of these questions deal with the "appropriate summary statistics" to describe spread based on the shape of a distribution; if you have questions about this, check out the 3 bullets below "Shape,Center,Spread" on page 84
    • You can also read about center and spread on pages 82-84.
    • Any questions? Read through chapter 5....or try Khan Academy!

If you were absent this week on Wednesday we discussed "appropriate summary statistics," percentiles, and determining shape from a boxplot; on Thursday we started to discuss measures of spread and completed our "appropriate summary statistics" table in our notes; Friday we continued to discuss measures of spread (IQR and Sx) after looking at 3 AP multiple choice questions.

Here's our updated tentative plan for next week:
  • Monday: Finish notes on standard deviation (look at its calculation), discuss "comparing distributions"
  • Tuesday: More comparing distributions and reading ogives!
  • Wednesday: Chapter 5 wrap up, classwork
  • Thursday: Chapter 5 Vocab Quiz, Math Quiz? (I may make this a take home quiz...we'll see...if so, we'll start chapter 6 today)
  • Friday, start chapter 6

Monday Night's Homework:

On Monday night you will have an AP Free Response where you have to create two (parallel) boxplots and then compare the distributions; then you'll have to score your response. 

If you'd like to get a head start the problem is below--you can create the two boxplots, but I would hold off on comparing them until you see an example of this in class on Monday. 

Parallel boxplots just means draw both boxplots on the same axis, one above the other; just be sure to label which boxplot is for which data set.


Thursday, September 21, 2017

HW Due Monday:

The homework problems (in the textbook) listed below will be checked on Monday! 

YOU WILL ALSO HAVE SOMETHING ADDED TO THIS HOMEWORK TOMORROW (because we've had quite a few days to work on these) We have not fully covered spread yet; therefore, I have listed what you can do now (and after we finish spread tomorrow) below.

  • HW Due Monday:
    • Pages 91 - 100: 5, 7, 17, 27, 29, 37
    • More to be added tomorrow...not sure what yet, so check back tomorrow

What can we do already?
5a, 7abc, 17, 27abc, 29, 37
  • We previously completed 29ab, so you really are focusing on 29cd; however, take a look back at a,b and see if your thoughts have changed now that you know a little more about graphical displays and describing distributions!

What can we do after we finish our notes on spread in class tomorrow (Friday)? (the rest...)
5b, 7d, 27de

  • Many of these questions deal with the "appropriate summary statistics" to describe spread based on the shape of a distribution; if you don't want to wait until tomorrow to do these, check out the 3 bullets below "Shape,Center,Spread" on page 84.
  • You can also read about center and spread on pages 82-84.
If you were absent this week on Wednesday we discussed "appropriate summary statistics," percentiles, and determining shape from a boxplot; on Thursday we started to discuss measures of spread and completed our "appropriate summary statistics" table in our notes; tomorrow (Friday) we will finish our notes on spread and learn how to read an ogive. (Read chapter 5 to catch yourself up!)

And finally, here's my tentative plan for the rest of chapter 5:
  • Thursday: discuss measures of spread
  • Friday: finish notes on measures of spread (standard deviation), learn how to read an ogive
  • Monday-Tuesday: Comparing Boxplots
  • Wednesday: Chapter 5 Vocab Quiz and Chapter 5 Math Quiz
  • Thursday: Start chapter 6!

Wednesday, September 20, 2017

Wednesday HW (Updated C period Weds!)

Tonight/tomorrow please complete the following in your textbook--the problems listed below are the entire assignment and will be checked Friday, but we have not covered spread yet; therefore, I have listed what you can do now (and after tomorrow) below as well. 

  • Pages 91 - 100: 5, 7, 17, 27, 29, 37
  • **It is possible this assignment becomes your "weekend homework" depending how far we get in class tomorrow; if that is the case I will likely add some problems given that you should be starting these tonight.

What can we do tonight (Wednesday)?
5a, 7abc, 17a, 27abc, 29abc, 37abcef

  • We previously completed 29ab, so you really are focusing on 29cd; however, take a look back at a,b and see if your thoughts have changed now that you know a little more about graphical displays and describing distributions!
What can we do after we discuss spread in class on Thursday? (the rest...)
5b, 7d, 17b, 27de, 29d, 37de


  • Many of these questions deal with the "appropriate summary statistics" to describe spread based on the shape of a distribution; if you don't want to wait until tomorrow to do these, check out the 3 bullets below "Shape,Center,Spread" on page 84.
  • You can also read about center and spread on pages 82-84.
If you were absent today we discussed "appropriate summary statistics," percentiles, and determining shape from a boxplot--you'll definitely need to get these notes from a classmate! Here's the plan for the rest of the week:
  • Thursday: discuss measures of spread
  • Friday: finish notes on measures of spread, learn how to read an ogive
  • Monday-Tuesday: Comparing Boxplots
  • Wednesday: Chapter 5 Vocab Quiz and Chapter 5 Math Quiz
  • Thurday: Start chapter 6!

Monday, September 18, 2017

Homework, Sub Work and Such

Last night you should have completed the problems below in your textbook--I'll be checking these, along with tonight's homework, tomorrow in class.

Pages 91-100: 11bd, 19, 25ac, 31a

Tonight, please be sure to complete the two create boxplot/describe distribution problems provided in class. 

  • Remember, when describing the shape, take a look at a histogram on your calculator--then we'll try to use this info to work backwards and figure out how to determine skewness or symmetry with a boxplot.


If you're looking to get a head start, the following problems will be checked on either Thursday or Friday (or at the latest, Monday); I'm not exactly sure when I'll assign these for homework, but I will eventually... we haven't learned everything to do these, but you can do parts if you like.

Pages 91 - 100: 5, 7, 17, 27, 29, 37

Tomorrow in class it's back to chapter 5 notes! I'm excited to get back into class and get right to work! I hope you're feeling confident about today's classwork and homework (all boxplot stuff!)! Enjoy your Tuesday!

Friday, September 15, 2017

Weekend HW! (Counts as TRIPLE--this is a big deal!)

If you were out today send me an email and I can send you today's (Friday's) classwork! That way you can make up the classwork over the weekend rather than having to do it all on Monday night (and you'll just have to make up your vocab quiz to catch up). Email = carofano.fm@easthartford.org.

This weekend please complete the assignment described below--this homework will be weighted more than any other thus far--each AP problem will count as 3 points (HW is usually 2), 1.5 points for doing the problem, 1.5 points for scoring it! That means this hw is a total of 6 points, or equivalent to 3 "regular" hw assignments!

This assignment must be completed exactly as it is outlined below to receive full credit--pay attention to instructions/detail! (For example, if you did not use a different color to score you will lose some points!)

Weekend HW = Complete and Score the 2016, 2007 Free Response provided in class (or below)
  1. First, complete the free response questiondo your best! Take your time and write a thorough, detailed, complete answer just as you would on the exam! You should take at most 15 minutes to do so--if you really want some authentic AP practice set a timer for 15 minutes and 
  2. Next, you must score your response using a different color pen/pencil (than what you completed the problem in). You must also record a few notes explaining why you earned the score you did (no matter if it's an E,P, or I) based on the rubric! Using the link below, read through the AP rubric for each question; you will first see sample answers, then you will see explanations for how everything is scored!
    • Each free response is scored by part (a,b,c) or "sections"--you'll see one of each
    • For each part/section you will earn a score of E (essentially correct), P (partially correct), or I (incorrect)
    • Then, based on your "E's, P's, and I's" you earn a score of 0-4 for each free response
    • READ THE RUBRIC IN DETAIL to understand this scoring system!
    • Scoring and recording notes is half of the homework grade! Don't skip this! This is the part of the process that allows us to see how the exam is scored and what we need to do to earn a 5!
  3. Here are the links to the scoring rubrics:
And finally, here are the two AP problems in case you lost yours and need to print them:




Thursday, September 14, 2017

Vocab Quiz Tomorrow, Weekend HW!

*Period H please scroll down to the bottom of this...possible extra stamps to finish your notes...

Tonight, study, study, study! Come prepared to ACE this vocab quiz! Here's what you need to know:
  • What do we discuss when we describe a distribution? (SOCS!)
  • Skewed Left/Skewed Right (know where "most of the data falls" for each shape)
  • Center (a value that tries to summarize a data set, attempts to represent a "typical value")
  • Spread (a measure of how the data varies)
  • Know the measures of center (mean, median)
  • Know the measures of spread (standard deviation, range, IQR)
  • Outlier (an "extreme" or "unusual" value that falls away from the rest of the data in a data set)
  • Know what displays are used for quantitative data (boxplot, histogram, dotplot, stemplot, ogive)
  • Know what displays are used for categorical data (frequency table, pie chart, bar graph)
  • Range (Max - Min)
  • Interquartile Range = IQR (Q3 - Q1)
  • Mean (the average of a data set, "x-bar")
  • Median (the middle number in a data set)
  • Boxplot (graph that shows the 5 number summary with outliers)
  • Histogram (graph that shows the frequency of data values for a given interval, shows how the data is distributed)
  • Stemplot (graph that preserves all of the original data values, shows how the data is distributed)
  • Know how to describe the shape given a histogram (unimodal/bimodal/uniform, along with skewed left/skewed right/symmetric)
In addition, you might start your weekend homework tonight--this homework will be weighted more than any other thus far--each will count as 3 points (HW is usually 2), 1.5 points for doing the problem, 1.5 points for scoring it!

Weekend HW = Complete and Score the 2016, 2007 Free Response provided in class (or below)
  1. First, complete the free response question; do your best! Take your time and write a thorough, detailed, complete answer just as you would on the exam! You should take at most 15 minutes to do so.
  2. Next, you must score your response using a different color (than what you completed the problem in). You must also record a few notes explaining why you earned the score you did (no matter if it's an E,P, or I). Using the link below, read through the AP rubric (scroll down to #1 in the rubric for each question
    • Each free response is scored by part (a,b,c) or "sections"--you'll see one of each
    • For each part/section you will earn a score of E (essentially correct), P (partially correct), or I (incorrect)
    • Then, based on your "E's, P's, and I's" you earn a score of 0-4 for each free response
    • READ THE RUBRIC IN DETAIL to understand this scoring system!
    • Scoring and recording notes is half of the homework grade! Don't skip this! This is the part of the process that allows us to see how the exam is scored and what we need to do to earn a 5!
  3. Here are the links to the scoring rubrics:
And finally, here are the two AP problems in case you lost yours and need to print them:




Period H: We ran out of time and did not get to the second distribution in class, but we would like to have this in your notes--if you get this description into your notes and show me tomorrow I'll give you a couple extra stamps! (don't worry other periods, this won't affect your stamp situation at all). 







Wednesday, September 13, 2017

Wednesday HW!

Hump dayyyyyy! (one of the best commercials ever)

Tonight, please describe the Wayne Gretzky (games played per season) and EHHS Boys Bball (points scored per game) histograms that we created for homework last week!

  • If you lost your homework you will have to re-create the graphical displays before you can describe them!
  • Remember you also were given an answer key with these two graphs, so be sure to describe the CORRECT histogram! (Use the key if you have to)
  • If you lost your paper the data sets are provided below
  • For tonight's homework....
    • Describe SOCS! And write in context! Use today's in-class example to help...
    • We were given the full data sets for each, so for measures of center and spread you should use the "1 Var Stats" in your calculator to calculate the exact mean, median, range, IQR--do not estimate these from your graph
    • For measures of center, reference both mean and median (since we can calculate both)
    • For measures of spread, reference both range and IQR (since we can calculate both)
    • I would follow this general structure...
      • Write a sentence stating "The distribution of ____" to define context
      • Describe shape and any possible outliers (remember you can look at your boxplot)
      • Describe the center (reference mean and median)
      • Describe the spread (reference range and IQR)
      • Write one last "Generally" sentence, describing "Generally" what the graph tells us about either how many games Wayne Gretzky played per season, or how many points the EHHS Boys BBall team scored
      • Be sure everything is written in context!
Tomorrow we'll work through some more examples in class! See you there!

Here's the data in case you lost yours...





Tuesday, September 12, 2017

Tuesday HW!

Tonight (Tuesday), please complete the following in your textbook:

Page 65: 3, 13, 23 
  • For 13 describe SOCS--consider the shape, comment on any outliers/gaps, describe the center by referencing the mean and/or median (use your calculator to calculate these--1 Var Stats), and the spread (referencing range). And be sure everything is written in context!
    • I expect to see a couple/few (detailed) sentences written in context! Pay attention to describing shape, find any outliers, calculate the mean or median, and calculate the range--then reference/write about all of these in context!
Page 98: 41a 


Tomorrow in class we'll talk a little about outliers, center (mean/median), and spread (range, IQR, Sx), then we'll start to write up some descriptions of distributions! See you there!

Monday, September 11, 2017

Monday HW!

Here's Monday night's homework:

Page 65: 9b (again, write a couple sentences describing what you see, no fancy vocab yet), 11ac, 17, 19a

Page 91: 3 (but use your calculator, don't do this by hand)

"Answer Key" to check #9b:
  • Most vineyards are "smaller," from 0 to 60 acres
    • About 28 out of the 36 vineyards were 60 acres or less
  • There was one vineyard that was a possible outlier at over 240 acres
  • Tomorrow we'll start to add some of the "fancy" stats vocabulary and talk about "SOCS" some more!
And again, if you're feeling ambitious, here's Tuesday's HW:

Page 65: 3, 13, 23 
  • For 13 describe SOCS--consider the shape, comment on any outliers/gaps, describe the center by referencing the mean and/or median (use your calculator to calculate these--1 Var Stats), and the spread (referencing range). And be sure everything is written in context!
Page 98: 41a 

Friday, September 8, 2017

Weekend HW:

I hope you're feeling confident about today's test! I hope to get them graded by Monday--no promises (dad life can get pretty hectic), but I will do my best to make that happen.

On Monday we'll start our first full week of "real AP Stats." No more textbooks or Star or syllabus stuff, just our class routine of warmup, learn stuff, practice, assessment...and I can't wait! So be ready for some new stuff next week (lots of writing about the graphs we now know how to create).

This weekend, please complete the following for homework:

Page 65: 7ab, 9a and....

Page 91: 13, 23abc, 29ab, 47

  • For number 7a (p. 65)you are asked to describe the distribution--for now, I just want you to write a couple sentences describing what this graph tells you about sugar content (%) of different brands of breakfast cereals. You won't need any fancy statistical language here, this is just an intro to us writing about graphical displays
  • For number 13 (page 91) you must show work to determine if there are outliers--you can't just create a boxplot on your calculator (you can use the boxplot on your calculator to check your answer, but show the math that proves these are outliers...)
  • And remember check your answers in the back of the book!
    • Your answer for #7a should include the following info--I wouldn't expect you to use the vocab in the back of the book (yet), so use this as your key
      • The distribution of sugar content has two clusters of data
      • One cluster is from 0-24(ish) % sugar (lower sugar amounts), and the other is from 40 to 56%(ish) sugar (higher sugar amounts)
      • Generally, cereals tend to either have less than 24% sugar or more than 40% sugar,with few brands "in the middle"
And finally, here's Monday night's homework if you're feeling ambitious and want to get a head start:

Page 65: 9b (again, write a couple sentences describing what you see, no fancy vocab yet), 11ac, 17, 19a

Page 91: 3 (but use your calculator, don't do this by hand)

Thursday, September 7, 2017

Thursday = Study!

I will be in school tomorrow; however, as we will not learn anything new, YOUR TEST IS TOMORROW! 

Here is a breakdown of the topics on the test: The test has both open ended (free response) and multiple choice questions.
  • Create a histogram (using your graphing calculator, like last night's homework)
  • Create a boxplot by hand (given a table of summary statistics, like our summer academy notes or last night's homework)
  • Know how to find outliers given a data set (this is part of the boxplot process, but could also be it's own question--calculate the fences!)
  • Identify variables as categorical or quantitative (provide units for quantitative variables!)
  • Use your calculator to find the "1 Var Stats" (mean, standard deviation (Sx), median, min, max, Q1, Q3)
  • Calculate probabilities from a two-way table (like our Titanic homework)
  • Determine if two variables are related (or independent; remember, independent = not related; this was also on our Titanic hw)
  • Identify the explanatory variable (IV) and response variable (DV) given the context of a study
  • Determine if a study was a survey, experiment, or observational study
  • Reading histograms (like last night's "heights" problem)
    • Find sample size
    • Estimate the maximum possible range
    • Find the proportion (%) of data values above/below a given value
    • BONUS: estimate the median (what two values it falls between)
  • Reading boxplots
    • Identify the median, Q1, Q3, and outliers given a boxplot
    • Calculate the IQR (Q3 - Q1) given a boxplot
    • Calculate the range (Max - Min) given a boxplot
  • Find the overall mean given two samples (we took notes on this in day 3 of the summer academy)
  • Know which graphical displays are appropriate for categorical or quantitative data
Most of this test reviews the content from the summer assignment and what we've learned over the past week...
  • Look over your homework and the answer keys provided
  • Look over your class notes
  • Look over your summer assignment...
  • These questions from your summer assignment will be reflected on your test:
    • #6
    • #7
    • #13 to 17
    • #19 to 22
    • #23
    • #26, 27
Feel free to send me an email or Remind message with any questions! Be prepared to ace this test! Study!




    Wednesday, September 6, 2017

    When's Day HW!

    Tonight please complete the "Pop Quiz: Histograms" worksheet provided in class (don't worry, it's just practice for our test on Monday, not an actual pop quiz).

    Then, add this question to the back of your paper--you must do this to receive full credit for your homework!

    • Copy the table of summary values onto the back of your paper (this is also on your handout of chapter 4 slides)
    • Then, use this summary table to create a boxplot! (this is how this may appear on Monday's test)!
    • DO NOT use your calculator to create the boxplot--on the test you will only be given summary values (like this) and will not have the full data set, so you cannot use the calculator--you must create the boxplot by hand
    • Use your notes from the summer--if that doesn't work, watch the AP Stats Guy video on creating a boxplot!
      • First, draw your x axis and label it both in words and numbers. Title your graph.
      • Next, plot Q1, Median, and Q3 (the box)
      • Now, calculate the fences to determine if there are outliers; you must show this work
      • Plot any outliers
      • Now, draw the arms to the highest and lowest data values (from the summary table) that are not outliers!
    Tomorrow in class we'll get into some "new stuff" after we answer any homework questions--I'll see you there!

    Oh, and here's the rest of the homework in case you lost yours or you were out:


    Tuesday, September 5, 2017

    Tuesday HW/Quiz Tomorrow!

    Tonight you have a few things you're responsible for:
    • Please complete the "Two Way Tables: Probability and Independence" Titanic worksheet provided in class (or below).
      • Take a look at the image/homework below for a couple extra credit questions!
      • To earn extra credit you can add these questions to the back of your homework paper and then answer each--you must write the question!
    • Study! We have a quiz tomorrow--vocab and an open-ended context! Here's what's on the quiz:
      • Analyze a context (like last night's hw)
      • Chapter 2 Vocab (multiple choice)
        • Data
        • Categorical Data/Categorical Variable
        • Quantitative Data/Quantitative Variable
        • Relative
        • statistic (with the lower-case s)
        • Response Variable
        • What statistics are used with quantitative data?
        • What statistic is used to summarize categorical data?
        • What graphical displays are used for quantitative data?
        • What graphical displays are used for categorical data?
    Tonight's homework and our warmups on Thursday/Friday are all preparation for our test on Monday! The test on Monday will cover everything we've learned from our summer sessions up to Friday; everyone will be taking this test, even if you added the class late; students who added late will have to have all work made up by this point and will be on-track with the class from this test forward.

    Tomorrow it's back to AP Stats--I can't wait! See you there!

    Oh, and....


    If you haven't yet, sign up for Remind! 
    • This will be a major tool we use for class announcements and communication; students can message one another or message me directly with questions!
    • If you have a phone it is required that you have Remind for our class...
      • Download the free Remind app
      • Enter the class code: @ehapstat
    • Or, if you prefer not to use the app (or can't), text @ehapstat to 81010
    Tonight's Homework with Extra Credit Added:


    Friday, September 1, 2017

    Weekend HW!

    This weekend please practice creating graphical displays using your graphing calculator! Create and sketch a histogram AND boxplot for each data set provided in class (or below). You must also create the boxplot for full credit, although this is not stated in the directions.

    The focus of this homework is to practice using our calculator to create histograms and boxplots--so do that! Do not do this entirely "by hand!" If you need more guidance than the steps below provide, do some Googling! We have to figure out and get comfortable with all this calculator stuff!
    • For each context (Wayne Gretzky, EHHS Boys BBall) create a histogram using your graphing calculator...
      • First, enter the data (probably in L1, but could be in another list)
      • I would next calculate the 1 Var Stats to see the max and min
      • Use this max/min info to determine what you should "start at, end at, and count by"
      • Draw your axes and label them in words and numbers
      • Now, let's get back to the calculator
      • Next, go to your "Stat Plot" menu, and choose a plot...
        • Turn that plot on, choose a histogram
        • XList = where you typed your data (probably L1)
        • Freq = 1 (b/c we typed each data value in individually, or once)
      • If we press ZoomStat (Zoom #9) we will see a histogram, but when we press trace we can see that the calculator starts at a weird value and uses a weird x-scale--we don't want that, so we have to set up our window
      • Press Window--now, look at the axes you have labeled in numbers--fill in the values for xmin, xmax, xscl, ymin, ymax, yscl
      • Press graph
      • Press the TRACE button to see the interval for the bin (look at your cursor to see which bin is highlighted), and the n value on the bottom right tells you the frequency or height of that bin
      • Use this feature to translate the bins and their heights onto your paper
    • Now, create a boxplot, and draw this above your histogram
      • Go to your Stat Plot, choose another plot, and turn it on
      • Be sure to (always) select the boxplot that shows outliers
      • For a boxplot we do not have bins that have to align with specific x-values, so we can just use ZoomStat (Zoom, #9)
      • Press trace to see the values of any outliers, where the arms reach, and where Q1, Med, and Q3 are for "the box"
      • Translate this info onto your paper to draw the boxplot
      • For practice, show the work for the fences--that's how we prove if there are/are not outliers (you'll have to do this on your test eventually)
    Repeat this process for both data sets! 

    Do not do any of the "Describe the distribution" stuff at the bottom! We'll start to learn this next week, and we'll come back to these histograms and use them as our classwork examples/notes when we start to learn how to describe distributions.

    If you haven't yet, sign up for Remind! There are only 10ish people left to sign up!
    • This will be a major tool we use for class announcements and communication; students can message one another or message me directly with questions!
    • If you have a phone it is required that you have Remind for our class...
      • Download the free Remind app
      • Enter the class code: @ehapstat
    • Or, if you prefer not to use the app (or can't), text @ehapstat to 81010
    And lastly, remember we have a "Chapter 2 Quiz" next Wednesday! The quiz will have two parts; you will have about 15 minutes:
    • Analyze a context (like last night's hw)
    • Chapter 2 Vocab (multiple choice)
      • Data
      • Categorical Data/Categorical Variable
      • Quantitative Data/Quantitative Variable
      • Relative
      • statistic (with the lower-case s)
      • Response Variable
      • What statistics are used with quantitative data?
      • What statistic is used to summarize categorical data?
      • What graphical displays are used for quantitative data?
      • What graphical displays are used for categorical data?