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Chapter 2: Q. 2.7 (page 79)

The following data are the shoe sizes of 50male students. The sizes are continuous data since shoe size is measured. Construct a histogram and calculate the width of each bar or class interval. Suppose you choose six bars.

9;9;9.5;9.5;10;10;10;10;10;10;10.5;10.5;10.5;10.5;10.5;10.5;10.5;10.511;11;11;11;11;11;11;11;11;11;11;11;11;11.5;11.5;11.5;11.5;11.5;11.5;11.512;12;12;12;12;12;12;12.5;12.5;12.5;12.5;14

Short Answer

Expert verified

The histogram of the given 50sampled student is

Step by step solution

01

Given

Here we have

9;9;9.5;9.5;10;10;10;10;10;10;10.5;10.5;10.5;10.5;10.5;10.5;10.5;10.511;11;11;11;11;11;11;11;11;11;11;11;11;11.5;11.5;11.5;11.5;11.5;11.5;11.512;12;12;12;12;12;12;12.5;12.5;12.5;12.5;14

02

Explanation

Thedensityofallintervalsisdefinedbythehistogramforeachinterval.
Itindicateswhichintervalshavethelowestfrequencyandwhichhavethehighestfrequency.
Asaresult,wecansimplydeterminethemaximumandlowestshoesizeintervals.
As we can see, the maximum bar height does not equal the highest frequency since bars indicate area.
The interval 11to 12has the highest frequency.

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Most popular questions from this chapter

Javier and Ercilia are supervisors at a shopping mall. Each was given the task of estimating the mean distance that shoppers live from the mall. They each randomly surveyed 100shoppers. The samples yielded the following information.

a. How can you determine which survey was correct ?

b. Explain what the difference in the results of the surveys implies about the data.

c. If the two histograms depict the distribution of values for each supervisor, which one depicts Ercilia's sample? How do you know?

d. If the two box plots depict the distribution of values for each supervisor, which one depicts Ercilia鈥檚 sample? How do you know?

Use the following information to answer the next three exercises: We are interested in the number of years students in a particular elementary statistics class have lived in California. The information in the following table is from the entire section.

To construct the histogram for the data in Table 2.42, determine appropriate minimum and maximum x and y values and the scaling. Sketch the histogram. Label the horizontal and vertical axes with words. Include numerical scaling.

What does the relative frequency column in Table 2.42 sum to? Why?

Find the interquartile range for the following two data sets and compare them.

Test Scores for Class A

69;96;81;79;65;76;83;99;89;67;90;77;85;98;66;91;77;69;80;94

Test Scores for Class B

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Twenty-five randomly selected students were asked the number of movies they watched the previous week. The results are as follows:

Construct a box plot of the data.
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