Question

The accompanying frequency table shows the heights​ (in inches) of 130 members of a choir. a right parenthesisa) Find the median and IQR. b right parenthesisb) Find the sample mean and sample standard deviation. c right parenthesisc) Display these data with a histogram. d right parenthesisd) Write a few sentences describing the distribution of heights.

​d) Choose the correct answer below.

A.The distribution appears to be​ uniform, probably due to a​ conductor's preference in the heights of his or her singers.

B.The distribution appears to be​ multimodal, probably due to the fact that different types of singers​ (Soprano, Tenor,​ Bass, etc.) generally fall into specific height ranges.

C.The distribution appears to be​ bimodal, probably due to differences in heights of men and women.

D.The distribution appears to be​ unimodal, probably due to natural selection.

Height
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76

Count
1
5
10
5
3
22
25
5
10
4
9
8
9
5
2
5
2

Answer 1

From the given information,

The mode is 65 because it has highest count.

Hence,

D.The distribution appears to be​ unimodal, probably due to natural selection.

Thank you.