Chapter 21, Problem 11P

Summary Introduction

To analyze:

A statistical project has been conducted in which, total of $20$ men and $20$ women participated. The height and weight of each individual are given in the table.

Subject	Men		Women
	Height(in.)	Weight(lb)	Height(in.)	Weight(lb)
1	65	136	60	95
2	66	146	61	103
3	67	141	62	110
4	67	148	62	109
5	68	147	62	118
6	68	166	63	137
7	69	165	63	152
8	69	173	64	134
9	69	159	64	127
10	70	188	64	166
11	70	183	65	129
12	70	179	65	130
13	70	190	66	148
14	71	169	66	152
15	71	186	67	155
16	71	190	67	149
17	72	206	68	157
18	72	210	68	138
19	73	238	69	162
20	74	267	70	169

1. The question asked to draw one histogram for the height of the individuals and one more histogram for the weight of the individuals. Note: Plot weights in 10-pound intervals (i.e., $90–99$ lbs, $100–109$ lbs, $110–119$ lbs, etc.).

2. The question asked to estimate the mean, variance, and standard deviation for height and weight in men and women.

3. The question asked to compare the numerical values with the graphical distribution of heights and weights drawn in the histograms and the question also asked to describe whether graphical impression matches the numerical values.

Introduction:

Histogram is the graphical representation of numerical data. With the help of a histogram, complex data can be analyzed easily. In statistics, mean is the average of data, to obtain the Mean, sum of total observations is divided by the total number of observations. Variance is the middling of the squared differences. Standard deviation is square root of variance.