Monday HW!

Tonight you have two responsibilities for HW:

1.) Please complete the following in your textbook AND ALWAYS CHECK YOUR ANSWERS!

• Task #1 --> Page 123: 5, 9, 13

2.) What % of data falls between the mean and 1 standard deviation above the mean? Or between 1 and 2 standard deviations above the mean? Or between the mean and 1 st. dev. below the mean? Let's figure it out...

• Task #2 --> figure out what % of data falls in each interval labeled with the question marks below! Use the 68/95/99.7 rule to figure this all out....good luck!
• 

Today we recapped/discussed z-scores and answered questions about the shifting/rescaling homework problems. Then we introduced the NOrmal model and defined the 68/95/99.7 (or Empirical) rule. Tonight we'll use this rule for task 2 of our homework.

Tomorrow we'll do some more work with the empirical rule (interpret and apply it), and then we'll start working through some more normal percentile problems--see you there!

Weekend HW!

This weekend you have two responsibilities for homework--do some problems, read some stuff to learn about z scores....

1.) First, please complete these questions--use your notes on shifting/rescaling for 3 and 11!

• Page 123: 1ab, 3, 11
• *The formula used to convert SAT/ACT scores in #3 is outdated, so you can't apply this to your own scores. 

2.) Read the following pages in your textbook and record the answers to the questions listed in your notes--this is you teaching yourself stuff about z-scores--we'll quickly move through/review these ideas in class on Monday!

• Read the sections "The Standard Deviation as a Ruler" and "Standardizing with Z Scores" on pages 102-104
• Record the following in your notes: (you can title this "Z Scores" and list all of this information below that title in your notes)
• What is the formula for a z score?
• What is a standardized value? 
• What are the units for a standardized value?
• What does a z-score measure?
• What do we consider "more unusual" when comparing data values?
• Optional--read the sections about shifting and rescaling
• Read the sections "Back to Z Scores" and "Working with Standardized Variables: Step by Step" on pages 106-107
• Record the following in your notes:
• Write the 3 italicized bullets about standardizing
• The step by step example shows how we can use z-scores to answer a question--nothing to write in your notes here, but read this carefully to develop your understanding!
• Look at the glossary on page 122...
• Record the following in your notes:
• List and define each of these terms from the glossary:
• Standardizing
• Standardized value
• Z Score
• (This info was addressed previously as well, but that's ok--the more we write stuff down, the more we'l remember it)

On Monday we'll get back into some notes on chapter 6! We'll start class with a stamp problem based on your reading, so come prepared! See you there!

Thursday

Hopefully you're feeling good about today's test!

Here's tonight's homework--go outside! Enjoy your afternoon! Relax/decompress after a tough test.

These tests do take kind-of a long time to grade; I hope to get them back to you on Monday, but you'll definitely have them by Wednesday at the latest.

Come back tomorrow ready for some new stuff! Want to get a head start or just curious? Take a look at chapter 6 in your textbook (read stuff) or google some of the topics below! Or watch an AP Stat Guy video!

Chapter 6 Topics:

• Shifting/Rescaling Data
• Z-Scores (Standardized Scores)--how do we calculate them and what do they tell us?
• The Normal distribution and the Empirical Rule (aka the 68/95/99.7 rule)
• How can we calculate percentiles using the Normal model? (and normalcdf on our calculator)?
• How can we find a "cutoff value" for a given percentile in a Normal distribution? (using invnorm on our calculator)

After chapter 6 we'll have finished the first full unit! We will have TWO more tests after we finish chapter 6--another "math test" with AP FR and AP MC questions, and a unit 1 vocab test. This will probably happen sometime the week of 10//7, and will definitely not happen any later than 10/10 and 10/11 (before Columbus/Indigenous People's day weekend)

TEST Thursday!

TEST TOMORROW! HW = STUDY! Come ready.

Check out this key for the matching we did in groups last Friday!

• Matching Histograms Classwork Key!

Here's an outline of what's on your test:

• The test will take the full period (I think). You have all 46 minutes.
• The test has some free response (numbers 1-8 but they all have multiple parts) and 4 AP multiple choice
• Here's what you should know:
• Identify if a variable is categorical or quantitative
• Calculate probabilities with a two way table (like all of our Titanic stuff or the quiz we took about eye color/sex)
• Be sure you can also determine independence based on two answers (look at the Titanic stuff)
• Describe a distribution given a boxplot or histogram
• Know how to read/analyze boxplots/histograms
• Estimate median, range, mode, and sample size from a histogram
• Produce the 5 number summary, IQR, and range from a boxplot
• Know how to determine if there are outliers in a data set and use this info to sketch a boxplot
• Compare boxplots (like our hours of sleep for days of the week, or other homework questions where we look at boxplots to determine highest/lowest median, range, IQR, etc.)
• Determine the shape of a distribution given the 5 number summary/determine the shape of a boxplot
• Know how mean and median relate based on the shape of a distribution (skewed left, skewed right, symmetric)
• Know how adding an "extreme value" would/would not affect mean, median, mode, range, midrange, IQR, standard deviation (know what is 'sensistive to extremes' or not)
• Read ogives--use an ogive to estimate range, IQR, produce the 5 number summary
• Find a combined/overall mean given two different samples and their averages

Vocab + HW

1.) Tonight's homework: please complete the following in your textbook AND check your answers in the back!

• Page 93:19ab
• For 19a compare/contrast SOCS!
• I expect to see thorough, well written answers for a/b to earn full homework credit--that's why I'm only giving you one writing question!
• Page 96/97: 35abc

2.) STUDY! Tomorrow we will start class with our chapter 5 vocab quiz! Here's your list:

• For each statistic below you should know how it's calculated, what it measures (center or spread), and most importantly, what it actually is
• Mean
• Median
• Midrange
• Range
• Interquartile Range (IQR)
• Standard Deviation (Sx)
• Center
• Spread
• Percentile
• Know what percentiles Q1, Median, and Q3 represent
• Know the "appropriate measures of center/spread" based on the shape of a distribution
• Variance (just know it's the standard deviation, squared, or that standard deviation is the square root of variance)
• Ogive
• Ch. 4 vocab that could come up:
• Histogram
• Skewed Left
• Outlier
• Boxplot
• Stemplot

3.) Remember, we will have our FIRST AP STAT (UNIT) TEST ON WEDNESDAY! Come ready!

Thursday HW = Compare and Score!

1.) Tonight,(first) please COMPARE the boxplots showing high school graduation rates for schools in the midwest and southeast. 

2.) Next, SCORE YOUR ANSWER using the rubric linked or shown below:

• Tip:
• For your last "generally statement" comment on the initial question--"where is a student more likely to graduate?"
• You might start your last sentence with, "Generally a student is more likely to graduate in the ______; then support this with a % statement." 
• HW Question and Rubric:
• Comparing Boxplots: Grad Rates (Question and Key)--Click Me!
• Or...

WE WILL HAVE A TEST ON EVERYTHING WE'VE LEARNED THUS FAR ON WEDNESDAY! First AP Stat test--come ready!

Also, we'll start class with our chapter 5 vocab quiz on Tuesday!

• Here's your vocab list in case you want to start studying:
• For each statistic below you should know how it's calculated, what it measures (center or spread), and most importantly, what it actually is
• Mean
• Median
• Midrange
• Range
• Interquartile Range (IQR)
• Standard Deviation (Sx)
• Center
• Spread
• Percentile
• Know what percentiles Q1, Median, and Q3 represent
• Know the "appropriate measures of center/spread" based on the shape of a distribution
• Variance (just know it's the standard deviation, squared, or that standard deviation is the square root of variance)
• Ogive
• Ch. 4 vocab that could come up:
• Histogram
• Skewed Left
• Outlier
• Boxplot
• Stemplot

Wednesday HW

Tonight please compare the puzzle completion times for males and females given the boxplots below (we also have this slide). 

BE SURE TO READ THESE BULLETS!

• Write your response in your notebook OR on separate paper--your decision. We'll go over this in class tomorrow to formalize an example for our notes.
• When we compare distributions we focus on the same elements as when we describe distributions--SOCS + Generally! And use context!
• For center, spread, and outliers you must use comparative language--words like higher, lower, faster, slower, bigger, smaller. If you described each distribution separately without any comparative language you would earn a score of 0.
• Here's a suggestion for how to write your response:
• First, describe the shape of each distribution (probably no comparative language there)
• Next, comment on outliers
• Now, COMPARE medians
• Then, COMPARE a measure of spread
• Be sure everything is written in context!
• Finally, wrap up with a comparative % statements--who completed the brain teasers faster? How do you know--using some type of %'s to support this statement.

Here's a sample response with a different set of boxplots.  The boxplots compare the ages of male and female Oscar winning actors from 1975 to 2004.



Shape:"The distribution of ages of Oscar winning actors from 1975 to 2004 is skewed right for both males and females.
Outliers: Both males and females have outliers, but the female winners have more outliers than females.
Center:The median age of male Oscar winners is higher--this suggests male Oscar winners are typically older.
Spread:Female Oscar winners have a wider range than that of the males--this suggests the ages of female Oscar winners vary more than males. (Or, you could say for spread--'the ages of male Oscar winners has a wider IQR--this suggests the ages of male Oscar winners vary more in the middle 50%'). 

Comparative % Statement: Generally, male Oscar winners are older than female Oscar winners--at least 50% of male Oscar winners were older than roughly 75% of female winners. (Or...'at least 75% of male Oscar winners were older than at least 50% of female winners). 

Tuesday HW

Tonight, please complete the following in your textbook:

Pages 91-95: 5b, 11ab, 17, 24abc, 27, 29, (also think about 24de, but you don't have to write anything)

• Be thorough--no lazy answers! Answer as you would on the AP exam! ("You play how you practice.")
• For 5b I should see some writing--go beyond a one word answer and specifically tell me how the range, IQR, standard deviation would change (or if they would stay the same)
• I'm not looking for a paragraph, just some quality thoughts that show effort!
• You need to know this for 11a and 17 and 29cd:
• Appropriate measures of center/spread:
• Skewed: use median and IQR
• Symmetric: use mean and standard deviation
• For 27 pay attention to the scaling on the axes!
• For 29a and 29b I should see a sentence written! Be detailed! No laziness!
• Always check your answers in the back of the book! And if you get stuck on a problem maybe peek at the answer and try to work backwards--but then write down a correct response so I can give you credit!
• Working backwards from an answer to develop understanding is NOT the same as copying the answers from the back of the book!

Monday HW

The homework assignment below will be checked on Wednesday--but get started tonight so you have less to worry about tomorrow!

Pages 91-95: 5b, 11ab, 17, 24abc, 27, 29, (also think about 24de, but you don't have to write anything)

• Here's what you could do tonight based on today's notes:
• (You can pretty much do anything/everything except the stuff about measures of spread)
• You can at least comment on range for 5b tonight
• You can do half of 11a (center) and you can do 11b 
• Hold off on 17 until tomorrow (you could do a, but save it for a tiny lil' review tomorrow)
• 24abc
• You don't have to write anything or officially do 24d and 24e, but think about them! 
• You can do 27abc
• For 27 all three classes have 24 students 
• You can do 29abc

Tomorrow we'll get into measures of spread. See you there!

Weekend HW IS ON AP CLASSROOM!

SIGN UP FOR OUR AP CLASSROOM ONLINE! This must be done by MONDAY! It's a HW grade! Also, you can't do your weekend homework without signing up!

• First, sign into My AP Online with this link: My AP Online (Click Me!)
• If you already have login information just log in and enter the course code
• If you don't, create one!
• Course codes:
• Note: these vary by period! Pay attention to entering your correct period!
• Period A: WW37KA
• Period D: WMQMZR
• Period E: MXJ7J3
• Period H: EYW632

Weekend HW: I have assigned the "Unit 1 Progress Check: MCQ Part A" to you in AP classroom. This weekend you need to complete these (18) multiple choice questions in AP classroom. Enjoy!

On Monday we'll get back to our discussions of measures of center and spread. Until then, have a fantastic weekend!

Thursday = 2 Things...

1.) Tonight we have our first textbook homework. Yay!

• Please complete the questions below AND be sure to check your answers in the back of the book!
• Answers are before the index and separated by chapter

• HW Questions:
• Page 91 (Chapter 5)
• 3 (but use your calculator, ignore the no calculator instruction)
• 5a
• 13 (fence work and write a sentence to explain your reasoning)
• 23 
• Answers are on pages A-29 to A-30

2.) SIGN UP FOR OUR AP CLASSROOM ONLINE! This must be done by MONDAY! It's a HW grade!

• First, sign into My AP Online with this link: My AP Online (Click Me!)
• If you already have login information just log in and enter the course code
• If you don't, create one!
• Course codes:
• Note: these vary by period! Pay attention to entering your correct period!
• Period A: WW37KA
• Period D: WMQMZR
• Period E: MXJ7J3
• Period H: EYW632

Wednesday: 3 Things...

Tonight you have three things to take care of....(maybe two).....

1.) HOMEWORK: Please FINISH scoring your classmate's 2019 free response

• Give a score of E, P, or I for each section (scored as sections 1, 2, and 3)
• Write these at the top of their paper. For example....
• Section 1: P
• Section 2: E
• Section 3: P
• Next to that, use the rubric to give an overall score 1-4. 
• Provide feedback! We're doing this to help each other get better! 
• Write notes--if someone got a P, what were they missing? Circle it on the rubric or write some comments!
• Pay attention to detail!
• Do this thoroughly, don't half-ass it!
• Here's a link to the question and rubric:
• 2007 and 2019 FR (Only did 2019 so far)
• 2007 and 2019 Scoring Rubric (2019 on pages 3, 4)
• This will not be counted as homework, but as classwork--if you don't finish scoring your classmate's paper tonight you can only earn a 6/10 for today's AP FR! If you do a great job scoring, you can earn your 10/10!

2.) STUDY! We will start class tomorrow with our first vocab quiz. Take advantage of this opportunity to earn a 100%! Study, study, study! Make a quizlet or flash cards or something!

Here's the list of vocab you need to know: (some definitions are in parentheses)

• What graphical displays are used for categorical data?
• What graphical displays are used for quantitative data?
• Histogram (a graphical display that shows us frequencies of data values for a given interval)
• Stemplot (a graphical display that allows us to re-create the original data set; the only graph that always allows us to do so)
• Boxplot (a graphical display that shows the 5 number summary and outliers)
• 5 Number Summary (min, q1, median, q3, max)
• Mean
• Median
• Range
• IQR (know it's a measure of spread, know how it's calculated)
• Know the fence formulas and what we use these fences for
• Describe a distribution: what do you need to talk about/address?
• Skewed Left
• Skewed Right
• Uniform
• Be able to ID the shape of a distribution given a graph
• Categorical Variable
• Quantitative Variable

3.) SIGN UP FOR OUR AP CLASSROOM ONLINE! This must be done by Friday! It's a HW grade!

• First, sign into My AP Online with this link: My AP Online (Click Me!)
• If you already have login information just log in and enter the course code
• If you don't, create one!
• Course codes:
• Note: these vary by period! Pay attention to entering your correct period!
• Period A: WW37KA
• Period D: WMQMZR
• Period E: MXJ7J3
• Period H: EYW632

Oh, and here's a sample answer for last night's ATT homework if you want to take a look:

• The distribution of ATT customer service times is unimodal and skewed right, with two possible high outliers. The median service time falls between 0 and 12.5 minutes, with a (maximum) range of approximately 125 minutes. Generally, the majority of customer service times were less than 12.5 (or 25) minutes, with very few customer interactions lasting longer than 25 minutes.

2's Day

Tonight you have a few things to take care of.....

1.) SIGN UP FOR OUR AP CLASSROOM ONLINE! This must be done by Friday! It's a HW grade!

• First, sign into My AP Online with this link: My AP Online (Click Me!)
• If you already have login information just log in and enter the course code
• If you don't, create one!
• Course codes:
• Note: these vary by period! Pay attention to entering your correct period!
• Period A: WW37KA
• Period D: WMQMZR
• Period E: MXJ7J3
• Period H: EYW632

2.) Tonight's HW: Describe the distribution of ATT customer service times. (This is above the Old Faithful example we did in class)

• Yes, I know we wrote down some bullets for this context a few days ago--but tonight your job is to describe the distribution as we would on the AP Exam!
• Need help writing? Here's an idea for your structure:
• First, restate the question: "The distribution of ATT customer service times is..."
• Next, describe each element of SOCS in context.
• Finally, end with a "generally" statement--generally, how long were most customer service times?
• Here's a sample you can use from class today--describing the distribution of Old Faithful eruption durations that follows the structure suggested above:
• The distribution of Old Faithful eruption durations is bimodal and roughly symmetric (there are no noticeable durations that are outliers). The median duration was between 4 and 4.5 minutes, with a range of 4 minutes. Generally, most eruptions lasted between 4 to 5 minutes OR 1.5 to 2.5 minutes (very few eruptions lasted 2.5 to 3.5 or over 5 minutes).
• Note: you would still earn full credit without the italicized stuff

3.) We will start class on Thursday with our first vocab quiz. Take advantage of this opportunity to earn a 100%! Study, study, study! Make a quizlet or flash cards or something!

Here's the list of vocab you need to know: (some definitions are in parentheses)

• What graphical displays are used for categorical data?
• What graphical displays are used for quantitative data?
• Histogram (a graphical display that shows us frequencies of data values for a given interval)
• Stemplot (a graphical display that allows us to re-create the original data set; the only graph that always allows us to do so)
• Boxplot (a graphical display that shows the 5 number summary and outliers)
• 5 Number Summary (min, q1, median, q3, max)
• Mean
• Median
• Range
• IQR (know it's a measure of spread, know how it's calculated)
• Know the fence formulas and what we use these fences for
• Describe a distribution: what do you need to talk about/address?
• Skewed Left
• Skewed Right
• Uniform
• Be able to ID the shape of a distribution given a graph
• Categorical Variable
• Quantitative Variable

Mondayyyyyyyyyyy

1.) SIGN UP FOR OUR AP CLASSROOM ONLINE! This must be done by Friday! It's a HW garade!

• First, sign into My AP Online with this link: My AP Online (Click Me!)
• If you already have login information just log in and enter the course code
• If you don't, create one!
• Course codes:
• Note: these vary by period! Pay attention to entering your correct period!
• Period A: WW37KA
• Period D: WMQMZR
• Period E: MXJ7J3
• Period H: EYW632

2.) Complete the "Describing Distributions HW" worksheet provided in class or linked below AND CHECK YOUR ANSWERS (also linked below)!

• Monday HW: Identify Shape, Describe, and Miscellaneous MC!
• For #1:
• Period A (and anyone absent)--here are the notes on shape!
• 
• For #2 you should find each of the specified values with your graphing calculator using the 1 Var Stat feature!
• Not sure how to do it? Google it (or ask a friend)!
• 5 Number Summary = Min, Q1, Med, Q3, Max
• For #3 describe SOCS! Then, wrap up with a "Generally" statement--something like, "Generally, most waiting times for patients were...."
• #4-6 = review MC!
• Check your answers!
• Here's a link to the HW key:
• Describing Distributions HW Key 

Weekend HW!

This weekend you have two responsibilities for homework:

1.) SIGN UP FOR OUR AP CLASSROOM ONLINE!

• First, sign into My AP Online (Click Me!)
• If you already have login information just log in and enter the course code
• If you don't, create one!
• Course codes:
• Note: these vary by period! Pay attention to entering your correct period!
• Period A: WW37KA
• Period D: WMQMZR
• Period E: MXJ7J3
• Period H: EYW632

2.) Please complete the "Comparing Boxplots" worksheet provided in class (or linked below). (Also, it's not really a stamp problem, it'll be checked as homework).

• Comparing Boxplots Weekend HW! 
• For question 10 you need to write a couple sentences--determine which day people generally slept the least, and provide at least 2 reasons for your choice.
• Your reasons" should be referencing statistics from the boxplots (medians, Q1, Q3, min, or max). Be clear! 
• Ex: You can't say something like "the box is lower." That's not clear or referencing specific statistics. 

If you have any free time it would be a great idea to make sure you're confident about how to create graphical displays! Be sure you can....

• Create a histogram by hand AND using your graphing calculator
• Create a boxplot by hand (given a table of summary info) OR create a boxplot on your calculator given a full data set
• Check out AP Stat Guy Unit 1 videos 1-4!
• Sketch a stemplot 
• Sketch a dotplot 
• Calculate the "1 Var Stats" using your graphing calculator to get mean, standard deviation, the five number summary (min, Q1, median, Q3, max)
• If you want to practice this, here's some data! (You can also use this data to practice making a histogram and boxplot on your calculator!)
• 

On Monday we'll (finally) finish our notes about describing distributions (SOCS), and then we'll (finally) get to start working together with this stuff on Tuesday! See you there!

Oh, want to get a little ahead? Here's a link to what will be Monday's homework. You can definitely do #2 and the multiple choice on the back! 

• Monday HW: Identify Shape, Describe, and Miscellaneous MC!

Thursday HW + Quiz Tomorrow!

1.) Tonight for homework let's get a little more practice writing about histograms....

• Check out the file below for your (two) homework questions....
• For each "describe" question I want you to write a few sentences/bullets (at least 3) describing what the graph tells us about sugar content or vineyard size
• (If you only write one lazy, lame bullet you won't get credit--think! There are lots of options!)
• Check your answers!
• Here's the HW:
• Thursday HW: Writing About Histograms

2.) Tomorrow we will start class with a 10-15 minute quiz!

• The quiz will include some open ended and/or multiple choice based on the probability stuff we've been doing!
• There will also be a couple additional AP MC based on the content covered from our first quiz (passed back today)
• Study!

3.) Period E Juniors (or anyone who was absent):

• It is your responsibility to get any/all notes you missed from a classmate! Be AP-level responsible! :)
• Here's a recap of what we did in class:
• Stamp = writing about histograms
• Students were given a histogram and had to write a few bullet points describing what the histogram told us about the given context
• We shared these out and discussed
• I can give you this paper tomorrow
• HW Questions/Discussion
• Notes: Describing Distributions
• What do we describe? --> SOCS (or SUCS)
• What does SOCS mean? 
• What do we use for center and spread based on the info we're given? (Set up a table for this)

See you all tomorrow! Have a fantastic Thursday!

Wednesday HW!

Tonight's HW responsibilities:

1.) Please finish our slides from yesterday!

• Answer e, f, and g
• Write your response to G just as you would on the AP Exam!

2.) Please complete the two textbook problems selected from our book--they're in the document linked below.

• More Two Way Table HW!

3.) Always check your answers!

• the "More Two Way Table HW" answers are in the document
• For your slides....
• e.) 253/1000 = 0.253
• f.) 24/53 = 0.453
• g.) Receiving a traffic ticket and age are NOT independent (are related) because drivers who are under 21 are more likely to receive a ticket than any randomly selected driver. (0.453 v. 0.253).

Also, here's the key to last night's (Titanic) HW with all of the work shown if you'd like to take a look:

• Titanic HW Key

We will likely start class on Friday with a quick quiz based on all this two-way table/probability stuff.

Tomorrow in class we'll start to get back into our graphical displays with a focus on describing (writing about) them! See you there!

Two's Day HW!

Tonight please complete the homework worksheet provided in class--labeled as "Summer Academy: Day 3 HW" (obviously we didn't get to it in the summer).

• Don't have a copy or you were out? Here's a link!
• Two Way Table Probability HW!
• We did not get to answer a question like C in class, but think about it...
• Compare your answers to a and b
• A gives us the probability any random passenger survived
• B gives the probability that someone survived if we knew they were in first class
• Based on those probabilities, does it seem like "class" impacts your chance for survival? How/why?
• For the last MC:
• This is arguably the most important question on the paper--so take your time with it!
• DON'T JUST READ THE ANSWER CHOICES AND PICK ONE--it take more than that
• Do the math and write down fractions/probabilities
• For example, for option A: "person who completed more advanced studies" = 40/100, and "being a person who did not complete more advanced studies" = 60/100, so this is false! 
• We'll take a look at the answers tomorrow in class, so no scoring tonight. 

Tomorrow we'll wrap up our discussions of two way tables, answer homework questions, and then start writing about histograms/stemplots/dotplots etc. See you there!