univariate distributions
DESCRIPTION
Univariate Distributions. Overview. I. Exploring Data. Describing patterns and departures from patterns (20%-30%) - PowerPoint PPT PresentationTRANSCRIPT
![Page 1: Univariate Distributions](https://reader035.vdocuments.site/reader035/viewer/2022062310/56815ed3550346895dcd66ec/html5/thumbnails/1.jpg)
Univariate Distributions
Overview
![Page 2: Univariate Distributions](https://reader035.vdocuments.site/reader035/viewer/2022062310/56815ed3550346895dcd66ec/html5/thumbnails/2.jpg)
I. Exploring Data
Describing patterns and departures from patterns (20%-30%)
Exploring analysis of data makes use of graphical and numerical techniques to study patterns and departures from patterns. Emphasis should be placed on interpreting information from graphical and numerical displays and summaries.
![Page 3: Univariate Distributions](https://reader035.vdocuments.site/reader035/viewer/2022062310/56815ed3550346895dcd66ec/html5/thumbnails/3.jpg)
I. Exploring Data
A. Constructing and interpreting graphical displays of distributions of univariate data (dotplot, stemplot, histogram, cumulative frequency plot)
1. Center and spread2. Clusters and gaps3. Outliers and other unusual features4. Shape
![Page 4: Univariate Distributions](https://reader035.vdocuments.site/reader035/viewer/2022062310/56815ed3550346895dcd66ec/html5/thumbnails/4.jpg)
Multiple Choice Questions
• Read and think for one minute, and write your answer.
• Discuss with group members for 30 seconds and decide on a final answer.
• Discuss as a group for as long as we need to. . .
![Page 5: Univariate Distributions](https://reader035.vdocuments.site/reader035/viewer/2022062310/56815ed3550346895dcd66ec/html5/thumbnails/5.jpg)
Source: AP Practice Exam
![Page 6: Univariate Distributions](https://reader035.vdocuments.site/reader035/viewer/2022062310/56815ed3550346895dcd66ec/html5/thumbnails/6.jpg)
Answer: B
![Page 7: Univariate Distributions](https://reader035.vdocuments.site/reader035/viewer/2022062310/56815ed3550346895dcd66ec/html5/thumbnails/7.jpg)
Source: AP Practice Exam
![Page 8: Univariate Distributions](https://reader035.vdocuments.site/reader035/viewer/2022062310/56815ed3550346895dcd66ec/html5/thumbnails/8.jpg)
Answer: D
![Page 9: Univariate Distributions](https://reader035.vdocuments.site/reader035/viewer/2022062310/56815ed3550346895dcd66ec/html5/thumbnails/9.jpg)
Source: 2001 AP Exam
![Page 10: Univariate Distributions](https://reader035.vdocuments.site/reader035/viewer/2022062310/56815ed3550346895dcd66ec/html5/thumbnails/10.jpg)
B. Summarizing distributions of univariate data
1. Measuring center: median, mean2. Measuring spread: range, interquartile
range, standard deviation3. Measuring position: quartiles, percentiles,
standardized scores (z-scores)4. Using boxplots5. The effect of changing units on summary
measures
I. Exploring Data
![Page 11: Univariate Distributions](https://reader035.vdocuments.site/reader035/viewer/2022062310/56815ed3550346895dcd66ec/html5/thumbnails/11.jpg)
Source: 2007 AP Exam
![Page 12: Univariate Distributions](https://reader035.vdocuments.site/reader035/viewer/2022062310/56815ed3550346895dcd66ec/html5/thumbnails/12.jpg)
Answer: C
![Page 13: Univariate Distributions](https://reader035.vdocuments.site/reader035/viewer/2022062310/56815ed3550346895dcd66ec/html5/thumbnails/13.jpg)
Source: AP Course Description
![Page 14: Univariate Distributions](https://reader035.vdocuments.site/reader035/viewer/2022062310/56815ed3550346895dcd66ec/html5/thumbnails/14.jpg)
Answer: B
![Page 15: Univariate Distributions](https://reader035.vdocuments.site/reader035/viewer/2022062310/56815ed3550346895dcd66ec/html5/thumbnails/15.jpg)
![Page 16: Univariate Distributions](https://reader035.vdocuments.site/reader035/viewer/2022062310/56815ed3550346895dcd66ec/html5/thumbnails/16.jpg)
Answer: E
![Page 17: Univariate Distributions](https://reader035.vdocuments.site/reader035/viewer/2022062310/56815ed3550346895dcd66ec/html5/thumbnails/17.jpg)
Source: AP Practice Exam
![Page 18: Univariate Distributions](https://reader035.vdocuments.site/reader035/viewer/2022062310/56815ed3550346895dcd66ec/html5/thumbnails/18.jpg)
Answer: C
![Page 19: Univariate Distributions](https://reader035.vdocuments.site/reader035/viewer/2022062310/56815ed3550346895dcd66ec/html5/thumbnails/19.jpg)
Source: AP Practice Exam
![Page 20: Univariate Distributions](https://reader035.vdocuments.site/reader035/viewer/2022062310/56815ed3550346895dcd66ec/html5/thumbnails/20.jpg)
Answer: E
![Page 21: Univariate Distributions](https://reader035.vdocuments.site/reader035/viewer/2022062310/56815ed3550346895dcd66ec/html5/thumbnails/21.jpg)
Source: AP Practice Exam
![Page 22: Univariate Distributions](https://reader035.vdocuments.site/reader035/viewer/2022062310/56815ed3550346895dcd66ec/html5/thumbnails/22.jpg)
Answer: A
![Page 23: Univariate Distributions](https://reader035.vdocuments.site/reader035/viewer/2022062310/56815ed3550346895dcd66ec/html5/thumbnails/23.jpg)
Free Response Questions
• We’ll do each one a little differently, so listen for directions.
• They’ll all start with you reading and answering the question, but a bit faster than you would need to do on the actual exam.
![Page 24: Univariate Distributions](https://reader035.vdocuments.site/reader035/viewer/2022062310/56815ed3550346895dcd66ec/html5/thumbnails/24.jpg)
Source: AP Practice Exam
![Page 25: Univariate Distributions](https://reader035.vdocuments.site/reader035/viewer/2022062310/56815ed3550346895dcd66ec/html5/thumbnails/25.jpg)
![Page 26: Univariate Distributions](https://reader035.vdocuments.site/reader035/viewer/2022062310/56815ed3550346895dcd66ec/html5/thumbnails/26.jpg)
![Page 27: Univariate Distributions](https://reader035.vdocuments.site/reader035/viewer/2022062310/56815ed3550346895dcd66ec/html5/thumbnails/27.jpg)
C. Comparing distributions of univariate data (dotplots, back-to-back stemplots, parallel boxplots)
1. Comparing center and spread: within group, between group variables
2. Comparing clusters and gaps3. Comparing outliers and other unusual
features4. Comparing shapes
I. Exploring Data
![Page 28: Univariate Distributions](https://reader035.vdocuments.site/reader035/viewer/2022062310/56815ed3550346895dcd66ec/html5/thumbnails/28.jpg)
Source: 1997 AP Exam
![Page 29: Univariate Distributions](https://reader035.vdocuments.site/reader035/viewer/2022062310/56815ed3550346895dcd66ec/html5/thumbnails/29.jpg)
Answer: B
![Page 30: Univariate Distributions](https://reader035.vdocuments.site/reader035/viewer/2022062310/56815ed3550346895dcd66ec/html5/thumbnails/30.jpg)
Source: 1997 AP Exam
![Page 31: Univariate Distributions](https://reader035.vdocuments.site/reader035/viewer/2022062310/56815ed3550346895dcd66ec/html5/thumbnails/31.jpg)
Answer: A
![Page 32: Univariate Distributions](https://reader035.vdocuments.site/reader035/viewer/2022062310/56815ed3550346895dcd66ec/html5/thumbnails/32.jpg)
Source: 2006 AP Exam
![Page 33: Univariate Distributions](https://reader035.vdocuments.site/reader035/viewer/2022062310/56815ed3550346895dcd66ec/html5/thumbnails/33.jpg)
Source: 2006 AP Exam
![Page 34: Univariate Distributions](https://reader035.vdocuments.site/reader035/viewer/2022062310/56815ed3550346895dcd66ec/html5/thumbnails/34.jpg)
Source: 2006 AP Exam
![Page 35: Univariate Distributions](https://reader035.vdocuments.site/reader035/viewer/2022062310/56815ed3550346895dcd66ec/html5/thumbnails/35.jpg)
Source: 2006 AP Exam
![Page 36: Univariate Distributions](https://reader035.vdocuments.site/reader035/viewer/2022062310/56815ed3550346895dcd66ec/html5/thumbnails/36.jpg)
Source: 2006 AP Exam
![Page 37: Univariate Distributions](https://reader035.vdocuments.site/reader035/viewer/2022062310/56815ed3550346895dcd66ec/html5/thumbnails/37.jpg)
Source: 2006 AP Exam
![Page 38: Univariate Distributions](https://reader035.vdocuments.site/reader035/viewer/2022062310/56815ed3550346895dcd66ec/html5/thumbnails/38.jpg)
Source: 2011 AP Exam
![Page 39: Univariate Distributions](https://reader035.vdocuments.site/reader035/viewer/2022062310/56815ed3550346895dcd66ec/html5/thumbnails/39.jpg)
Source: 2011 AP Exam
![Page 40: Univariate Distributions](https://reader035.vdocuments.site/reader035/viewer/2022062310/56815ed3550346895dcd66ec/html5/thumbnails/40.jpg)
Source: 2011 AP Exam
![Page 41: Univariate Distributions](https://reader035.vdocuments.site/reader035/viewer/2022062310/56815ed3550346895dcd66ec/html5/thumbnails/41.jpg)
![Page 42: Univariate Distributions](https://reader035.vdocuments.site/reader035/viewer/2022062310/56815ed3550346895dcd66ec/html5/thumbnails/42.jpg)
![Page 43: Univariate Distributions](https://reader035.vdocuments.site/reader035/viewer/2022062310/56815ed3550346895dcd66ec/html5/thumbnails/43.jpg)
![Page 44: Univariate Distributions](https://reader035.vdocuments.site/reader035/viewer/2022062310/56815ed3550346895dcd66ec/html5/thumbnails/44.jpg)
![Page 45: Univariate Distributions](https://reader035.vdocuments.site/reader035/viewer/2022062310/56815ed3550346895dcd66ec/html5/thumbnails/45.jpg)
![Page 46: Univariate Distributions](https://reader035.vdocuments.site/reader035/viewer/2022062310/56815ed3550346895dcd66ec/html5/thumbnails/46.jpg)
![Page 47: Univariate Distributions](https://reader035.vdocuments.site/reader035/viewer/2022062310/56815ed3550346895dcd66ec/html5/thumbnails/47.jpg)
![Page 48: Univariate Distributions](https://reader035.vdocuments.site/reader035/viewer/2022062310/56815ed3550346895dcd66ec/html5/thumbnails/48.jpg)
![Page 49: Univariate Distributions](https://reader035.vdocuments.site/reader035/viewer/2022062310/56815ed3550346895dcd66ec/html5/thumbnails/49.jpg)