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Chapter 1: Q 58. (page 47)

Chest out, Soldier! In1846, a published paper provided chest measurements (in inches) of 5738

Scottish militiamen. The table below summarizes the data

(a) Make a histogram.

(b) Describe the shape, center, and spread of the chest measurements distribution. Why might this

information be useful?

Short Answer

Expert verified

Part (b) symmetric, normally distributed

Centre: roughly at 40

Spread:33to 48

Part (a)

Step by step solution

01

Part (a) Step 1: Given information

Chest SizeCountChest sizeCount
33341934
341842658
358143370
361854492
374204550
387494621
391073474
401079481
02

Part (a) Step 2: Concept

A histogram is an often used graphing tool. It's used to summarise discrete or continuous data that are measured on an interval scale. It's a popular method for displaying key characteristics of data distribution in a user-friendly manner.

03

Part (a) Step 3: Explanation

The following is a histogram of the percentage of words with 1 to 15 letters:

Thus, the histogram is made for the given data.

04

Part (b) Step 1: Explanation

The distribution is regularly distributed and the shape is symmetric. Due to the lack of skewness, the bulk of Scottish military personnel has chest sizes ranging from to. Few people have a chest size of fewer than 45 inches or more than 45 inches. It has a single peak and is Unimodal. Because the center of asymmetric distribution is nearly in the middle of the tallest bar, the center is roughly at 40 The range is 33 to 48, with 33 being the smallest and 48 being the largest chest size. Because all of the bars in the histogram are nearby, there are no outliers or extreme values in the data.

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