# Ap statistics Project Part II – Exploring Relationships Between Variables

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Summer Project - Answers

### AP Statistics Project Part I – Exploring and Understanding Data (MODEL ANSWERS)

This project explores the numerical and visual display and analysis of data and determines students’ ability, using a graphing calculator to:

• Enter and manipulate data;

• Complete basic numerical computations (5-number summaries, mean and standard deviation);

• Create properly formatted visual displays of data (tables, bar graphs, histograms, box plots, stem-and-leaf plots and normal distribution plots);

• Analyze and interpret numerical summaries and visual displays of data;

Scenario and Data

Scores (in percentages) for the first test of the year for two AP Statistics classes are provided below. The class “First” meets first period of the day, every day of the school year. The second class “Lastmeets last period of the day, every day of the school year. There are 21 students in the First class and 30 students in the Last class:

First Scores: 98, 52, 92, 92, 60, 66, 90, 86, 86, 70, 72, 84, 82, 82, 82, 82, 74, 74, 76, 80, and 80 (checksum: 1,660).

Last Scores: 96, 95, 92, 54, 57, 58, 86, 85, 82, 82, 82, 60, 66, 66, 66, 68, 80, 80, 77, 76, 76, 75, 74, 74, 74, 73, 72, 72, 71, and 70 (checksum: 2,239).

The AP Statistics teacher would like to conduct an analysis that compares the grades of the classes to determine if there is a difference in skill level between the students in the two classes.

Section 1: Graphing Calculator (round all decimals to the tenth place)

1. Enter the data sets into two columns in the list processor of your graphing calculator. Order the data from highest to lowest.

1. Use the checksum numbers above to ensure that you entered your data correctly. The sum of each data set should equal its checksum.

1. Use your calculator to find the mean and standard deviation of each class. Insert your answers here:

First Mean: 79.0% Last Mean: 74.6%

First Standard Deviation: 10.8 Last Standard Deviation: 10.3

Which standard deviation did you record above, s or σ? Explain why: Students should select σ as each data set is a full population of a class. If they selected s, their answers will be FIRST: 11.0 and LAST: 10.5. Their answers should include a sentence or two explaining the difference between a population and sample mean.

1. Create a 5-number summary for each class, round to 1 decimal place & record your results here: