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Univariate Distributions Overview

Univariate Distributions

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Univariate Distributions. Overview. I. Exploring Data. Describing patterns and departures from patterns (20%-30%) - PowerPoint PPT Presentation

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Page 1: Univariate  Distributions

Univariate Distributions

Overview

Page 2: Univariate  Distributions

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

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

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

Source: AP Practice Exam

Page 6: Univariate  Distributions

Answer: B

Page 7: Univariate  Distributions

Source: AP Practice Exam

Page 8: Univariate  Distributions

Answer: D

Page 9: Univariate  Distributions

Source: 2001 AP Exam

Page 10: Univariate  Distributions

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

Source: 2007 AP Exam

Page 12: Univariate  Distributions

Answer: C

Page 13: Univariate  Distributions

Source: AP Course Description

Page 14: Univariate  Distributions

Answer: B

Page 15: Univariate  Distributions
Page 16: Univariate  Distributions

Answer: E

Page 17: Univariate  Distributions

Source: AP Practice Exam

Page 18: Univariate  Distributions

Answer: C

Page 19: Univariate  Distributions

Source: AP Practice Exam

Page 20: Univariate  Distributions

Answer: E

Page 21: Univariate  Distributions

Source: AP Practice Exam

Page 22: Univariate  Distributions

Answer: A

Page 23: Univariate  Distributions

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

Source: AP Practice Exam

Page 25: Univariate  Distributions
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Page 27: Univariate  Distributions

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

Source: 1997 AP Exam

Page 29: Univariate  Distributions

Answer: B

Page 30: Univariate  Distributions

Source: 1997 AP Exam

Page 31: Univariate  Distributions

Answer: A

Page 32: Univariate  Distributions

Source: 2006 AP Exam

Page 33: Univariate  Distributions

Source: 2006 AP Exam

Page 34: Univariate  Distributions

Source: 2006 AP Exam

Page 35: Univariate  Distributions

Source: 2006 AP Exam

Page 36: Univariate  Distributions

Source: 2006 AP Exam

Page 37: Univariate  Distributions

Source: 2006 AP Exam

Page 38: Univariate  Distributions

Source: 2011 AP Exam

Page 39: Univariate  Distributions

Source: 2011 AP Exam

Page 40: Univariate  Distributions

Source: 2011 AP Exam

Page 41: Univariate  Distributions
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