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Chapter 2: Q. 2.8 (page 69)

Use the specified grouping method to

Part (a): Determine a frequency distribution.

Part (b): Obtain a relative frequency distribution.

Part (c): Construct a frequency histogram based on your result from part (a).

Part (d): Construct a relative frequency histogram based on your result from part (b).

Professor Weiss asked his introductory statistics students to state how many siblings they have. The responses are shown in the following table. Use single-value grouping.

Short Answer

Expert verified

Part (a): A frequency distribution is given below,


Part (b): A relative-frequency distribution is given below,


Part (c): On constructing a frequency histogram using part (a), we get,

Part (d): On constructing a relative frequency histogram using part (b), we get,

Step by step solution

01

Part (a) Step 1. Given information.

Consider the given question,

02

Part (a) Step 2. Determine a frequency distribution.

Consider the single value grouping method.

We can count the number of zeroes, ones, twos and threes. Fours from the given data, will give the frequency distribution.

03

Part (b) Step 1. Determine the relative-frequency distribution.

Consider the single value grouping method. The relative frequency table is obtained by dividing each such frequency by the total number of observations, 40.

We get the relative frequencies in the third column of the following table,

04

Part (c) Step 1. Construct a frequency histogram.

On constructing a histogram using part (a) is given below,

05

Part (d) Step 1. Construct a relative frequency histogram.

On constructing a relative frequency distribution using part (b) is given below,

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Most popular questions from this chapter

Sleep Aids. The additional sleep, to the nearest tenth of an hour, was obtained by a sample of 100patients by using a particular brand of sleeping pill. In this case, decide which type of grouping (single-value, limit, or cutpoint) is probably the best.

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