Chapter 1.2, Problem 58E

(a)

To determine

To make: a histogram.

(b)Describe the shape, center, and spread of the chest measurements distribution, Wiry might this information he useful?

Answer to Problem 58E

  

Explanation of Solution

Given:

Chest size	Count	Chest size	Count
33	3	41	934
34	18	42	658
35	81	43	370
36	185	44	92
37	420	45	50
38	749	46	21
39	1073	47	4
40	1079	48	1

Calculation:

(a) The Histogram of percentage of words with 1 to 15 letters is below:

  

Conclusion:

Thus, the histogram is made for the given data.

(b)

To determine

To describe: the shape, center, and spread of the chest measurements

Answer to Problem 58E

Shape: symmetric, normally distributed

Centre: roughly at 40

Spread:33 to 48

Explanation of Solution

The shape is symmetric and distribution is normally distributed. The absence of skewness means that majority of Scottish Military men have chest size between to. And few have chest size less then or above 45 inches. It is Unimodal with one peak.

The center is roughly at 40, because the center of a symmetric distribution si roughly at the middle of the highest bar.

The spread is between 33 and 48, as 33 is the minimum chest size and 48 is the maximum chest size.

There are no outliers or extreme values in the data because all the bars of the histogram are adjacent.