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Chapter 2: Q. 2.69 (page 68)

We have presented some quantitative data sets and specified a grouping method for practicing the concepts.

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).

Use cutpoint grouping with a first class of 40-under 46.

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,

It is given that the first class of 40-under 46.

02

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

The width of the class interval is 6.Thus, the second class is 47- under 53. Also, the highest observation is 65.4.

Therefore, the last class is 64-under 70.

Hence, the frequency distribution using limit grouping is given below,

03

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

The formula of the relative frequency is Relativefrequency=FrequencyNumberofobservations.

Thus, the relative frequency distribution is given below,

04

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

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

Here, it is clear that the height of the bar represents the frequency obtained in part (a).

05

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

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

Here, it is clear that the height of the bar represents the relative-frequency obtained in part (b).

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Most popular questions from this chapter

Number of Cars. The number of automobiles per family

In this case, decide which type of grouping (single-value, limit or cutpoint is probably the best.

Weights of 18- to 24-Year-Old Males. Refer to the weight data in Table 2.8on page 54 . Note that there are 37 observations, the smallest and largest of which are 129.2and278.8, respectively. Apply the preceding procedure to choose classes for cut point grouping. Use approximately eight classes. Note: If in Step 2 you decide on 20 for the class width and in Step 3 you choose 120 for the lower cut point of the first class, then you will get the same classes as used in Example 2.14; otherwise, you will get different classes (which is fine).

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