Question

The choice of class boundaries for a histogram or stemplot may cause data to be presented in different ways. For example, the following stemplot presents a unimodal symmetric distribution.

1 | 9
2 | 3 6 8
3 | 1 4 5 8
4 | 1 1 2 6 9
5 | 2 8 8 9
6 | 4 5 8
7 | 3

Which class boundary choice below would cause a histogram of these data to present the appearance of a uniform distribution?
A. 16-20, 21-25, 26-30, 31-35, 36-40, 41-45, 46-50, 51-55, 56-60, 61-65, 66-70, 71-75
B. 10-19, 20-29, 30-39, 40-49, 50-59, 60-69, 70-79
C. 16-35, 36-55, 56-75
D. 19, 20, 21, ? , 71, 72, 7

Answer 1

c.

Answer 2

@doubledrive Why C? Explain please.

Answer 3

In C, there are 7 data points in each histogram:
16-35: 19,23,26,28,31,34,35
36-55: 38,41,41,42,46,49,52
56-75: 58,58,59,64,65,68,73

Answer 4

This would "appear" uniform or flat because each histogram bar would be the same size. The same could not be said for the other proposed binnings (or class boundary choices).

Answer 5

Do you understand/see how the stem plot sorts leading digits and then lists trailing digits?

Answer 6

@Valpey thxx for explaing

Answer 7

explaining

Answer 8

Yes, thank you.