# Time Measurement and Histogram Construction

1. A psychologist is studying the length of time it takes mice to go through a maze and reach a reward at the end. Time is measured to the nearest tenth of a second with the results given in the table below.

Time Frequency

2.0 up to 3.0 3

3.0 up to 4.0 7

4.0 up to 5.0 15

5.0 up to 6.0 29

6.0 up to 7.0 81

7.0 up to 8.0 50

8.0 up to 9.0 10

9.0 up to 10.0 5

A. Construct a histogram for the data.

2. Mr. and Mrs. Jones live in a neighborhood where the mean family income is $45,000 with a standard deviation of $9,000. Mr. and Mrs. Paul live in a neighborhood where the mean is $100,000 and the standard deviation is $30,000. What are the relative dispersions of the family incomes in the two neighborhoods?

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#### Solution Preview

1. A psychologist is studying the length of time it takes mice to go through a maze and reach a reward at the end. Time is measured to the nearest tenth of a second with the results given in the table below.

A. Construct a histogram for the data.

First, find the midpoint of each interval by finding the average of the left endpoint and the right endpoint of the interval. The midpoints are ...

#### Solution Summary

The solution examines a time measurement and histogram construction for length of time taken for mice to go through a maze.