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Friday, September 28, 2018

Weekend HW!

Weekend HW =Please complete the following:

Page 124: 17, 18
  • For each problem:
    • First, draw the Normal model and label the correct data values for 1,2, and 3 standard deviations above the mean (using the mean, standard deviation given); this is part (a) of each question
    • Then, use this picture/model and the percentages (see the image below) in each region to answer the subsequent questions!
  • *For #'s 17 and 18 you must read pages 109-111 in your textbook to figure this out! Also use the image below.You got this! 
    • Read from "The 68-95-99.7 rule" (p. 109) and stop when you get to "Finding Normal Percentiles by hand" (p. 111)
  • You can also try to look up some videos on "The Empirical Rule" using Khan Academy or the links to the right to help with this!

Today's Class Recap:
  • Stamp = shifting + rescaling practice
  • Discussed HW questions
  • Back to ch. 6 notes: developed the z-score formula as a class
    • If you were out read about z-scores in chapter 6 of your book!
  • Talked about z-scores: what is the mean and standard deviation for z-scores?

Monday's HW: (if you'd like to get a head start)--this is based on what we learned today 
(z-scores) and what you'll teach yourself this weekend, so you can (probably) get this all done this weekend if you like!

Page 123: 5, 7, 13, 23, 27

Matching Classwork Key:
  • Remember when we completed some classwork in groups, matching histograms to boxplots and matching variables to boxplots?
  • I only graded one per group, so you may not know if your answers are correct....
  • Here are the correct answers--it would be a good idea to grade your own!
  • Matching Histograms to Variables:
    • Histogram A = Variable 2
      • Distribution is roughly symmetric, so the mean and median are (roughly) the same, but the data isn't very concentrated in the center so the standard deviation is large (larger than variable 6, which is also roughly symmetric)
    • Histogram B = Variable 1
      • This histogram is skewed right, so the mean is greater than the median; 
    • Histogram C = Variable 5
      • I would've done this one first, this is skewed left, so the mean has to be less than the median, which only leaves variable 5 as an option
    • Histogram D = Variable 4
      • I would've done this one second; this definitely has the largest standard deviation because so much data is "on the outsides," so this has to be variable 4
    • Histogram E = Variable 3
      • We should be debating between histograms B/E for variables 1/3--look at the x-axis! The values on the x-axis of histogram B are much larger, so histogram B would have to have the larger mean (and for both the mean is larger than the median).
    • Histogram F = Variable 6
      • This is roughly symmetric; most of the data is clustered in the center, so this would have a small standard deviation (smaller than variable 1); we'd debate between variables 2 and 6, but this histogram has the smaller standard deviation of the two
  • Matching Histograms and Boxplots
    • Histogram A = Boxplot 2
    • Histogram B = Boxplot 3
    • Histogram C = Boxplot 4
    • Histogram D = Boxplot 1
    • Histograms C and D should've been easy to match based on skewness...
    • That leaves us with a debate between Histograms A/B and Boxplots 2/3; I'd look at the IQR here. Boxplot 2 has a wider IQR than boxplot 3. Histogram b is more concentrated in the middle, so it would have the smaller IQR (boxplot 3), where histogram A is more spread out in the middle 50% (less concentrated in the middle), so it would have the larger IQR (boxplot 2).


Lastly, here is the create/compare boxplots homework key so you can look at it in more detail:



Thursday, September 27, 2018

Thursday!

Thursday's HW:

1.) Page 123: 1, 3, 11, 9

  • It would be a great idea to read 103-104, "Standardizing With Z-Scores" to get a little ahead if you have the time!
2.) Consider each of the following for the table below (continued from class): Jot down some notes/a few bullets to earn credit for this!
  1. Who is the best student? WHY? Support your reasoning!
  2. If you could be given additional information/data to make this decision (who's the best student?), what types of information/data would you like to have?  




Today's Class Recap:
  • Warmup....
  • Back to chapter 6 notes:
  • Looked at two examples of shifting and rescaling problems with our first two chapter 6 slides (tonight's homework provides more practice with this)
  • Started to discuss the questions above (#2)--who's the best student?

Tomorrow it's on to more chapter 6 notes; we'll pick up with the conversation started in class and the ideas you consider tonight (for #2 above), then we'll start to get into z-scores (and hopefully the Normal model). See you there!

Weekend HW:

Page 123: 5, 7, 13, 17, 23
  • *For #'s 17 and 23 you must read pages 109-111 in your textbook to figure this out! Also use the image below.You got this! 
  • You can also try to look up some videos on "The Empirical Rule" using Khan Academy or the links to the right to help with this!
  • Read from "The 68-95-99.7 rule" (p. 109) and stop when you get to "Finding Normal Percentiles by hand" (p. 111)



Wednesday, September 26, 2018

Wednesday HW = More Comparing Boxplots

Tonight please complete the "AP Statistics: Comparing Boxplots" worksheet provided in class (or below).

  • First, create the boxplots! You can't use your L1 and Stat Plots here because we don't have the full data set, so you'll have to create these by hand--you have notes about this from day two of our summer academy!
    • Be as precise as possible when drawing your boxplots!
  • After you create your boxplots, compare! Use the example from Monday/today's class/notes as a guide; you can also use last night's homework as a guide. I would score this comparison using the same rubric as last night's homework!
  • The correct boxplots are shown below --check these! Be sure you have the correct boxplots before you start to compare!
Correct Boxplots for HW:




Today's Class Recap:
  • Finished our "comparing boxplots" example with the puzzle completion times by adding some examples of comparative "% statements" (see the blog post from Monday and/or Tuesday for the full written comparison)
  • Started chapter 6 = new stuff!
    • Discussed shifting and rescaling...
      • Definitions of each
      • How does shifting affect measures of position (including center) and spread?
      • How does rescaling affect measures of position (including center) and spread?
Tomorrow it's on to more chapter 6 notes; we'll look at some shifting/rescaling problems/examples in our chapter 6 slides, then we'll start to get into z-scores (and hopefully the Normal model). See you there!
Thursday's (tentative) HW (if you're curious and want to try some tonight):

Page 123: 1, 3, 5, 7, 9, 11

Tuesday, September 25, 2018

HW Due Weds (scroll down) AND Monday's Notes

If you were absent today you must make up the test before the end of the day Friday (I will not be after school Friday):
  • You can do this during any free period or lunch
  • Or I will be after school Wednesday or Thursday until 3:00 (come right at 2:10)
  • I would not suggest making up the test during our class period--then you'll miss the stuff we learn in class!

Here is a recap of Monday's notes/example: Comparing Boxplots-- Use this to help with the HW due tomorrow!
  • Period E: you must finish these notes (copy this example in blue) on your own since we didn't get far enough in class!
  • I tried to write these bullets so that you can use the same structure for your homework--but for your homework you'll need to change everything that's underlined to the context about graduation rates and to the correct comparative language!
    • First bullet = shape, outliers
    • Next bullet = comparing center, interpreting what this means in context
    • Third bullet = comparing spread, interpreting what this means in context
    • Last bullet = comparing overall context with a % statement
      • Our stamp problem on Wednesday will focus on this type of "% statement," and we'll come up with some options for this example for that warmup
  • The distribution of puzzle completion times (time it took to complete a series of brain teasers) is skewed right with one outlier for females and roughly symmetric with no outliers for males.
  • The females had a lower median puzzle completion time than the males -- this suggests that females generally completed the puzzles faster than the males.
  • Males had a wider/larger IQR than the females -- this suggests that puzzle completion times varied more in the middle 50% for males.
  • Overall, females completed the puzzles faster. Roughly _____% of females completed the puzzles faster than (at least ___% of males)

HW Due Tomorrow:
  1. Answer the question! Compare the distributions! Give a real, thoughtful effort--write your answer as you would/should on the AP exam! Use the example above and your notes from Monday!
    • You should be able to compare shapes, center, and spread, with context
      • Don't forget, after you compare centers/spread add a "-- this suggests..." statement.
    • Do your best for the "% statement"-- we will discuss this in more depth tomorrow to start class
  2. Check out the rubric/grading breakdown on the back to score yourself!
  3. Save this! We will definitely have a question like this on our end-of-unit test in a couple weeks!


Monday, September 24, 2018

STUDY. STUDY. STUDY. STUDY. STUDY. STUDY. STUDY.

Tomorrow's the big day--chapter 5 vocab quiz (8-10 min) AND chapter 2/4/5 test! (35 min)

  • Come ready! Not only do you have to know the content, but you have to know it well enough to work quickly!
  • Come right to class and immediately get to work! You can start before the bell for a little extra time, but you have to finish by the end of the period!
  • Study. study. study. Did I mention you should study?
  • Here's your vocab list for the chapter 5 vocab quiz:
    • Some of these were on our chapter 4 vocab quiz!
    • Center (from ch. 4 quiz)
    • Measures of center (know which statistics are measures of center)
      • Mean
      • Median
      • Midrange
    • Spread (aka variability) (from ch. 4 quiz)
    • Measures of spread (know which statistics are measures of spread)
      • Range
      • Interquartile Range (IQR) -- know what it is and how it's calculated
      • Standard Deviation -- know what it is (definition)
      • Variance -- know what this is, based on standard deviation
    • Percentile
      • First Quartile/Lower Quartile/Q1
      • Third Quartile/Upper Quartile/Q3
    • Histogram
    • Boxplot
    • Ogive
    • Stemplot
    • Appropriate summary statistics
      • Know which measures of center, spread are best for a skewed distribution
      • Know which measures of center, spread are best for a (roughly) symmetric distribution


  • And here's an outline of (some of) the content to study for the open ended "math" part of tomorrow's test:
    • Identify a given variable as categorical or quantitative 
      • Look over your "analyzing context" quiz or homework from chapter 2
    • Find probabilities from a 2 way table
      • Look at last night's Titanic homework (answers below), or the driver age/ticket context from day 3 of our summer academy
    • Determine if two variables are independent (not related) or not independent (related) based on probabilities
      • Back to that Titanic homework and/or the day 3 summer academy notes
    • Identify the explanatory (IV) and response (DV) variables for a given context
      • Look at your summer assignment--the first page with the ice cream sales context, or there's a multiple choice about this later in the packet
    • Read/analyze a histogram--determine sample size, estimate median, estimate range
      • Look at the very first warmup from day 1 of our summer academy about college debt
      • You also have a stamp half sheet about the lengths of Greek tragedies with these types of questions
      • OR there's more of this on the back of your Chips Ahoy quiz!
    • Determine if a given study is an experiment, observational study, or sample survey
      • Check out your chapter 2 notes--you have notes describing each of these methods of data collection, and how to recognize each
      • This is also the last question on our "analyzing context" quiz from chapter 2
    • Describe a distribution given a boxplot and/or histogram
      • You have lots of examples of this! Look at the "Old Faithful eruptions" or "Customer Service wait times" examples, or we did plenty of these in our textbook and you were given a typed up key
      • Look at the AP free response about tip amounts, part a
      • Look at your notes from Friday where we described a distribution given a boxplot (ESPN employee lunch costs). DEFINITELY look over this...
    • Given boxplots be able to compare summary stats
      • This is NOT like the write-up we had today (we'll finish that Wednesday)
      • Instead, look at your homework about sleep times--given some boxplots be able to identify the highest/lowest median, widest/most narrow IQR or range, highest/lowest Q1/Q3/max/min, etc.
    • Determine if a data set has outliers given the 5 # summary
      • Fences! Use your notes from day 2 of the summer academy, or you have more of this in chapter 4
      • This is also the first 2 questions on the AP/SAT classwork we had when I was absent
    • Know how to draw a boxplot by hand
      • Day 2 summer academy notes again!
      • I think we also have an example with the movie ticket sales context in our chapter 4 notes where you are given a table with values below Q1, Q1, Median, Q3, and values above Q3
    • Determine shape from a 5 # summary and/or boxplot
      • See Friday's notes and today's stamp problem
    • Know how mean and median relate (which is higher/lower) for a given shape of a distribution
      • Look at your chapter 5 notes for more on this
    • Know how changing a data value may affect various summary statistics
      • Look at the free response question about tip amounts, part b, where we changed a tip amount from 8 to 18--this question asked how such a change would affect the mean and median, but also consider how it would affect range, IQR, standard deviation, and midrange
      • Or look at the multiple choice that's on the homework we had with the 2012 free response about household sizes
    • Find an overall mean when combining samples
      • Day 3 of our summer academy notes, first example
      • Or look at the first multiple choice on the stamp you got passed back today that had 3 questions on it
Answer Key to Last Night's Homework;
  • Comparing Boxplots:
    • 1.) Seneca has the most variability in its grape prices because it has the largest/widest range and also has the largest/widest IQR (tied with Cayuga for largest IQR).
    • 2.) Keuka generally has the most grapes because it has the highest median, highest Q1, and highest Q3. .
      • Approximately 75% of the grapes from Keuka were more expensive than at least 75% of the grapes from Cayuga and Seneca.
      • All but one of the grape prices at Keuka were higher than at least 75% of the grape prices at Cayuga and Seneca.
  • Titanic
    • a.) 203/711 = 0.286
    • b.) 203/325 = 0.625
    • c.) 203/2201 = 0.0922
    • d.) 325 + 711 - 203 = 833; 833/2201 = 0.3785
    • e.) 711/2201 = 0.323
    • f.) 203/325 = 0.625
    • g.) **Should have said 'based on e,f above**
      • Based on e and f, survival and class on the Titanic are NOT independent because first class passengers had a higher (almost double) chance to survive than a randomly selected passenger. 
      • OR...
      • Survival and class on the Titanic are related because first class passengers have a higher chance of survival than the chances of survival overall.
      • Note: DO NOT comment on the chances of survival for a first class passenger to the chances of survival for the other classes--we did not calculate the chance of survival for the other classes (in e,f), and the question clearly states that we should use our answers to e,f to make our decision.
Today's Comparing Boxplots Notes/Example -- Use this to help with the HW due Weds!
  • I tried to write these bullets so that you can use the same structure for your homework--but for your homework you'll need to change everything that's underlined to the context about graduation rates and to the correct comparative language!
    • First bullet = shape, outliers
    • Next bullet = comparing center, interpreting what this means in context
    • Third bullet = comparing spread, interpreting what this means in context
    • Last bullet = comparing overall context with a % statement
      • Our stamp problem on Wednesday will focus on this type of "% statement," and we'll come up with some options for this example for that warmup
  • The distribution of puzzle completion times (time it took to complete a series of brain teasers) is skewed right with one outlier for females and roughly symmetric with no outliers for males.
  • The females had a lower median puzzle completion time than the males -- this suggests that females generally completed the puzzles faster than the males.
  • Males had a wider/larger IQR than the females -- this suggests that puzzle completion times varied more in the middle 50% for males.
  • Overall, females completed the puzzles faster. Roughly _____% of females completed the puzzles faster than (at least ___% of males)

HW Due Weds:
  1. Answer the question! Compare the distributions! Give a real, thoughtful effort--write your answer as you would/should on the AP exam! Use the example above and your notes from Monday!
  2. Check out the rubric/grading breakdown on the back to score yourself!
  3. Do this tonight to help you study!



Friday, September 21, 2018

Weekend HW!

This weekend please complete the Comparing Boxplots/Probability and Two Way Tables practice provided in class (or below--no excuses)!
  • For the comparing boxplots questions (a and b): WRITE YOUR ANSWERS IN COMPLETE SENTENCES, IN CONTEXT!
  • For (a) remember that variability is just a fancy word for spread--you should reference two statistics here to explain why whichever region has the most variablility.
  • For (b)--here, you should reference some summary statistics AND should make at least one statement COMPARING percentages
  • Remember to use comparative language throughout: higher/lower, bigger/smaller, etc!
  • For the back (the Titanic probability questions you should show a fraction (your work) and write your final answer for each solution. Probabilities should be written in decimal form for our final answer. 







Do yo homework! On Monday we'll spend our class focusing on how we compare boxplots--and then it's test time on Tuesday!


Wednesday, September 19, 2018

Weds HW (Due Friday)

Vote for a math shirt--check out the poll/image on the right--nevermind. Due to technical difficulties we will do this in class tomorrow.
  • There is a school wide vote to narrow down the design for an EHHS math shirt; these shirts will be dry-fit, uniform approved shirts that can be worn any day of the week!
  • They will cost $15 for a short sleeve, $20 for long sleeve
  • All shirts will be black and gold (not the colors in the picture)

Homework due Friday -- please complete the following in your textbook:

Page 91: 5, 7, 17, 27de, 29cd, 35abc, 37de
  • For any question that asks what measure of center/spread you should use then consider the shape--and when you explain your reasoning, the explanation is short--simply something like, "We'd use the median/IQR because the distribution of ____ is skewed left/right."
  • For #5 you're not calculating anything--your job is to determine what would happen to each summary statistics--would they increase, decrease, or stay the same? Why?
    • Assume the boss' salary is the maximum (thanks for pointing that out Tahlea)
  • For 7cd and 17 consider the "appropriate summary statistics" info we discussed today in class!
  • For 27de consider today's notes about spread!
  • I know we've looked at 29ab before--revisit this question and try to be more specific, use specific stats vocab (you don't necessarily have to write anything, but think about this!)
  • For 29cd--back to "appropriate summary stats"-- and the "why" is simply referencing the shape of the distribution!.
  • For 37d you need to use the 5 number summary to try to decide if this is skewed or symmetric (we can't figure out the modality from this info)--consider our notes on describing the shape of a boxplot!
  • For 37e be sure to reference these summary statistics as your support when you "explain." Try to comment on percentiles with statements "___% of boys/girls had a higher reading level than ___% of boys/girls."

Extra Credit Homework: Sample Responses
  • Remember, describe Shape, Outliers/Gaps, Center (median), and Spread (range), then make a "Generally..." statement commenting on the cluster
  • ALWAYS WRITE EVERYTHING IN CONTEXT!
  • If we do these things our answer will always be "essentially correct!"
1.) The distribution of the ratio of the number of pupils to the number of teachers for 24 states west of the Mississippi is unimodal and skewed right, with no apparent outliers. The median ratio of the # of pupils to the # of teachers is between 15 and 16. The range of the pupil to teacher ratio is approximately 10. Generally, the ratio of the # of pupils to the # of teachers for states west of the Mississippi was between 13 and 18.

2.) The distribution of the ratio of the number of pupils to the number of teachers for 26 states east of the Mississippi is unimodal and roughly symmetric, with no apparent outliers. The median ratio of pupils to teachers is roughly between 15 and 16, with a range of about 7. Generally, the ratio of the number of pupils to the number of teachers in states east of the Mississippi is between 13 and 17.

I'll leave you with this classic....



Tuesday, September 18, 2018

Tuesday HW!

Tonight there is no assigned homework! But you should put in some work...

1.) Take the time to look over the sample responses for describing the distribution of the number of chocolate chips per bag of Chips Ahoy cookies--I'd even recommend copying one down (not the one with the incorrect histogram) on your quiz--this will help you to retain this info more, and will force you to compare your response to a perfect one as you copy!

2.) Want more practice describing distributions? How bout a little extra credit homework--this will only be accepted tomorrow!



Homework due Friday -- please complete the following in your textbook:

  • If you're looking to get a head start you can probably do some of this tonight, like some of #5, 27de, and 37e

Page 91: 5, 7, 17, 27de, 29, 35abc, 37de
  • For #5 you're not calculating anything--your job is to determine what would happen to each summary statistics--would they increase, decrease, or stay the same? Why?
  • For 7cd and 17 consider the "appropriate summary statistics" info we discussed today in class!
  • For 27de consider today's notes about spread!
  • I know we've looked at 29ab before--revisit this question and try to be more specific, use specific stats vocab (you don't necessarily have to write anything, but think about this!)
  • For 27cd--back to "appropriate summary stats"-- and the "why" is simply referencing the shape of the distribution!.
  • For 37d you need to use the 5 number summary to try to decide if this is skewed or symmetric (we can't figure out the modality from this info)--consider our notes on describing the shape of a boxplot!
  • For 37e be sure to reference these summary statistics as your support when you "explain." Try to comment on percentiles with statements "___% of boys/girls had a higher reading level than ___% of boys/girls."
Tomorrow in class we'll finish talking about standard deviation, discuss some ogives and how to compare boxplots--then Friday we'll do some work with comparing distributions and we'll revisit that free response--see you there!

Monday, September 17, 2018

Monday HW + AP FR

1.) Tonight, please complete the following in your textbook:

Page 91: 11bcd, 27abc, 37abcf

  • See below for #11....
    • For 11b consider today's stamp!
    • 11c is another opportunity to be sure you know how to calculate the 1 var stats--if you KNOW this already, feel free to just get the median and IQR from the back of the book
    • 11d = more describe a distribution practice!
  • For 27ab this can be tricky--consider where most of the data falls, and remember, even if the mean is less than the median within one data set, that doesn't necessarily mean that the average (mean) is less than that of another data set...
  • For 37abc use the 5 # summary!
  • 37f = summer review! Be sure you know how to do this--use your notes from day 3 of the summer academy. 


2.) If you didn't do so already, COMPLETE AND SCORE the AP MC and AP FR question provided in class on Friday--I will also check this in class tomorrow.
  • Read the directions!
    • For the AP MC be sure to write a bullet/notes about how each summary statistic
    • For the free response be sure to COMPLETE and SCORE the free response!
      • You have to look at the sample response to see the correct answers--for instance, you have to comment on shape correctly! The rubric may only tell you to comment on the shape, the sample response is where you can see that the shapes are both skewed right!
    • Here is the link to the AP scoring rubric:
    • And here are the questions:


Tomorrow in class we'll talk more about spread (standard deviation), and maybe some ogives; then, on Wednesday, we'll start to describe some boxplots, and we'll spend Friday focusing on comparing distributions. 

Here are some of the "big picture" goals for the coming weeks:
  1. Finish chapter 5 Monday with a full period quiz (or more like a "quest") on Tuesday 9/25 covering everything we've learned thus far.
  2. Finish chapter 6 from 9/26 to 10/5 with our two unit tests (vocab test, AP FR/MC test) completed by 10/10


Friday, September 14, 2018

Weekend HW!

This weekend please complete the AP MC and AP FR question provided in class! I forgot my flash drive today so I'l try to upload this question this weekend! 

  • Read the directions!
    • For the AP MC be sure to write a bullet/notes about how each summary statistic
    • For the free response be sure to COMPLETE and SCORE the free response!
    • Here is the link to the AP scoring rubric:
Monday in class we'll discuss measures of spread and percentiles; we'll finish up these notes on Tuesday/Wednesday, and then do lots of practice Weds/Friday!

Have an awesome weekend! Get your homework done tonight or tomorrow so you can enjoy the rest of your time off!

Go Giants! Boo Cowboys! (sorry Kayleeana)


Thursday, September 13, 2018

Thursday HW!

Tonight please complete the "Comparing Boxplots" questions provided in class (or below). You can do this even if you were absent--be responsible and get it done!

  • For questions 1-7 and 9 you just need to fill in the blank (this is quick!)
  • For #3 you're looking for the day of the week with the individual who had the fewest hours slept
  • For question 10 you need to determine which day generally slept the lest on--you should then support your answer referencing appropriate summary statistics (Min, Q1, Med, Q3, Max) from the boxplots.
    • This answer must be written in complete sentence(s)
    • Grading this response would be more based on how you explain your justification/support than correctly choosing a day!



Tomorrow in class it's back to notes on chapter 5! See you there!



Wednesday, September 12, 2018

HW = STUDY!

Tomorrow we will start class with 2 chapter 4 quizzes--vocab and "math." Be ready! Even you absent people will be taking it, no excuses!



Also, many of us should be looking back at last night's homework and re-scoring our free response--I need more detail for you to get full credit!
  • You MUST give yourself a score of E, P, or I for each section based on the rubric
  • You MUST provide a few notes/bullets explaining what you got that score...
    • What was missing? 
    • What would you need to add to get an "E?"
    • Even if you got an E--what could you have done differently? Or, what could have done to improve your response!
  • Check the blog post from yesterday for the homework question/link to the rubric.
Period A--I think I made a mistake with the median for that Old Faithful histogram--sorry Olivia, you were right! Next time you guys yell at me and tell me I messed up! Check it out:




Chapter 4 Vocab List (10 minutes for this section)

  • These first two terms are new--center came up today, and a definition of spread is not in your notes--so the definitions are below:
    • Center: An attempt to summarize a data set with one number--a "typical value" in a data set.
    • Spread: measures how much our data varies, or how tightly our data is clustered around the center; also known as "variability"
  • Histogram
  • Boxplot
  • Dotplot
  • Stemplot
  • Describe a distribution (what do we describe?)
  • Skewed Left
  • Skewed Right
  • Know how to describe the shape of a distribution given a graph (unimodal, bimodal, uniform, symmetric, skewed left/right)
  • Measures of center
  • Measures of spread
  • All chapter 2 vocab words are fair game: definitely review...
    • summary statistics for categorical data
    • graphical displays for categorical data
    • summary statistics for quantitative data
    • graphical displays for quantitative data
    • Response Variable
"Math" Section: Graphical Displays and Describing Distributions
  • Create a histogram using your calculator (5 min)
  • Describe the distribution (5 min)
  • Know how to find median, range, sample size, given a histogram--look at the warmup from the first day of our summer academy, or our stamp problem about "lengths of Greek tragedies!"
  • Here is a "practice quiz" you can try (there's a second question in addition to the one provided in class):
  • And here's an answer keys so you can check your work to study!



Tuesday, September 11, 2018

Tuesday HW = AP FR!

Tonight please COMPLETE AND SCORE the 2016 free response question (on the back of today's classwork).
  1. First, do the question! Don't look at the answer! Try to time yourself--do your best to complete this in at most 15 minutes.
  2. Score your response! Look at the AP rubric (provided in class, or linked below) and read through the sample response and scoring criteria
    • USE A DIFFERENT COLOR TO SCORE YOUR RESPONSE
    • Read through the scoring guidelines to give yourself a score of "E, P, or I" for each section
      • Record some notes/comments about how you could have earned an "E" if you scored P or I--what was missing?
      • Even if you scored "E," jot down some notes/comments--what could you have added to enhance your response?
    • Score each section, then use the rubric to give yourself a score of 0-4 for the question
Tomorrow when I check homework you MUST have a complete, detailed response AND score your response (in a different color) with some notes on your scoring to receive full credit.

Tomorrow in class we'll get back to some notes and start chapter 5, where we'll look more deeply into the summary statistics we've been calculating, what they are/mean, and how they can best be used.

We will start class on Thursday with (2) chapter 4 quizzes:
  • 10 minutes = chapter 4 vocab quiz
  • 13 minutes = chapter 4 "math" quiz--create a histogram (with calculator), describe the distribution, and then "read a histogram" 
I didn't have time to finalize the quiz today, so the final draft of the vocab list will be up tomorrow--but for now, here's at least some of the vocab list:

  • Histogram
  • Boxplot
  • Dotplot
  • Stemplot
  • Describe a distribution (what do we describe?)
  • Skewed Left
  • Skewed Right
  • Know how to describe the shape of a distribution given a graph (unimodal, bimodal, uniform, symmetric, skewed left/right)
  • Measures of center
  • Measures of spread
  • All chapter 2 vocab words are fair game: definitely review...
    • summary statistics for categorical data
    • graphical displays for categorical data
    • summary statistics for quantitative data
    • graphical displays for quantitative data
    • Response Variable
If you were out (or lost your stuff), here's what you need for tonight's homework:

  • First, complete the 2016 Free Response question (be thorough/detailed, and use context--pretend you're taking the AP exam!)



  • Next, score your response using the rubric linked below--see the top of this post for more detailed instructions!


Enjoy your Tuesday! See you for more Stats tomorrow!


Monday, September 10, 2018

Monday HW

You already know this from our last post--tonight, please complete the following in your textbook:

Page 65: 5, 13, 26

  • Use our example from class to help with these!
  • I will provide an answer key for these 3 tomorrow in class--your answers should be modeled after today's in-class example, and should be much more detailed than what's in the back of the book (still look at those though).
    • For #5 when you estimate the median just try to "eyeball" where the middle is--don't worry about counting the sample size with this histogram and finding a more precise median
    • For #13 you should enter the data in your calculator and use the 1 Var Stats to find the exact mean, median, IQR, standard deviation, and range and report all of these for your measures of center adn spread

Page 96:  31bc
  • For 31c we do not have the entire data set, so we must create the boxplot by hand--use your notes!
  • Check your answer!

Tomorrow in class we'll do some work in groups to practice creating and describing displays--see you there!

(Oh, and if you were out today then you'll be starting class with the "pop quiz" that the rest of us did today; check Friday's blog post...)

Friday, September 7, 2018

Weekend HW!

This weekend please complete the following in your textbook:

Page 40: 27abc

Page 91: 3, 15, 24abc, 29ab

  • For #3 DO NOT do this by hand--enter the data in your calculator and use the "1 Var Stat" to find these statistics
  • For #15 you should also use your calculator...
    • Enter the data values for NE/MW States in one list (L1)
    • Enter the data values for the S/W states in another list (L2)
    • Go to your stat plots--turn one plot on and create a boxplot (with outliers) for L1, then turn on another plot and create a second boxplot for L2
    • Now when you press ZoomStat you will see both (paralell) boxplots!
      • Press Trace and you'll see the cursor on one boxplot to read the values and sketch the graph
      • Press up/down when you're tracing to toggle between the two boxplots
    • Transfer these to your paper--be sure to label which boxplot is NE/MW and which is S/W
  • #24 answers (not in the back of the book):
    • a.) Month 4 (April)
    • b.) Month 2 (February)
    • c.) Month 8 (August)

Extra Stamp Opportunity (+3 stamps): If you can find an online/PDF version of our textbook and email/Remind me the link you'll get some extra stamps!
Book: Stats: Modeling the World VERSION 2 (I've found other versions, but not 2 yet...)

If you're feeling ambitious, here's (some of) Monday's homework:

Page 65: 5, 13, 26

  • We're going to learn about describing distributions on Monday, so I'd hold off on writing complete answers for these, but you can start some "prep work..." (maybe just create a bulleted list for now, and then you can formally write your answers Monday)
    • For #5 you can determine the shape, estimate the range, and estimate the median (for the median here just try to "eyeball" where the middle is--don't worry about counting the sample size with this histogram and finding a mroe precise median)
    • For #13 you should enter the data in your calculator and use the 1 Var Stats to find the exact mean, median, IQR, standard deviation, and range; you can also describe the shape.
    • For #26 you should describe the shape, estimate the median (you know n = 25), and estimate the range
    • And for all of these you can look at each display to decide if there are "potential outliers
Page 96:  31bc
  • For 31c we do not have the entire data set, so we must create the boxplot by hand--use your notes!
Have an AWESOME weekend! We can finally go outside without sweating nonstop! 

GO GMEN!!!



(Oh....one more thing....you might want to do a little review so you're ready for the pop quiz I'm going to surprise you with Monday morning--it's 4 multiple choice questions. Be sure you can find the median for a given histogram, determine the IQR given a picture of a boxplot, and determine if a histogram is symmetric/skewed left/skewed right...)


Thursday, September 6, 2018

Thursday HW

Tonight, please complete the following in your textbook (it's a little longer than I usually give--that's because it was a 2 day hw!)
  • Page 39: 19
    • Some probability review here--use your notes from day 3 of our summer academy!
    • Remember to look at the "of ____" to determine your denominator...
      • For example, if we were asked what percent of waitlisted students are black/hispanic, then we know our denominator is 300, or the total number waitlisted ("of waitlisted")
    • Check your answers in the back of the book!
  • Pages 65-71: 9, 11, 17, 19a, 33c
    • 9a--check your answer in the back of the book
    • For 9b don't worry about the answer in the back of the book or describing shape...we'll learn that...
      • For this question (9b), I want you to write a few sentences...
        • Write a sentence providing the median size (in acres) of the 36 vineyards and the range in sizes of vineyards
        • Then, write a sentence describing what this graph tells us about the sizes of these 36 vineyards--what sizes are most vineyards? "Most vineyards are _________. 
          • Comment on any "unusual features--were any vineyards unusually large or small? What size?
    • For 11a (create a stemplot) round everything to 2 decimal places and use split stems (like today's example in class)--check your answer in back!
    • For 11b just describe the center and spread--use your calculator to find the 1 var stats
      • Center: provide the mean and median
        • Write these in a complete sentence: "The mean gas price for 16 gas stations in Ithaca, NY is ___ and the median price is ___."
      • Spread: provide range, IQR, and standard deviation (Sx)
        • Write these in a complete sentence: "The range of gas prices for 16 gas stations in Ithaca, NY is ____, with an IQR of ___, and a standard deviation of _____."
      • Take a look at the answer in the back of the book for 11b!
    • For 11c look at your stemplot--what unusual feature do you notice? (Unusual = gaps)
    • For 17 only create the stemplot, check your graph in back
    • For 19a check your dotplot with the back of the book
    • For 33c you want to determine if there are any outliers for the # of assaults (per 1000) and then for the # killed-injured (per 1000)...
      • This is two different problems--first use your calculator and the 1 Var Stats to find Q1 and Q3 for the # assaults, then calculate the fences to see if there are outliers
      • Repeat this process for the # killed-injured
      • Check your answer in back!

Tomorrow in class we'll start our notes on "describing distributions!" This will carry us into next week, and then we'll finally have some opportunities to get some groupwork/practice going in class (and take a break from listening to me)!