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

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

anonymous · Answer

Count up the number of data that falls in each range. For it to look uniform, each class should have about the same number in it.

kropot72 · Answer

Choice A will cause a histogram of the data to present the appearance of a uniform distribution. the reason being that the data are grouped into narrower class boundaries (5 units wide)and they follow a uniform  numerical sequence.