The number of items rejected daily by a manufacturer because of defects for the last 30 days are: 20,21,8,17,22,19,18,19,14,17,11,6,21,25,4,19,9,12,16,16,10,28,24,6,21,20,25,5,17,8 How many classes should be used in the construction of a histogram?
A)6
B)5
C)7
D)4
E)8

Question

Quizplus · Accepted Answer

To determine the number of classes for a histogram, a common rule is to use between 5 and 20 classes, depending on the range of the data and the desired level of detail. In this case, the range of the data is from 4 to 28, which is 24. Using the Sturges' rule, which suggests the number of classes = 1 + log2(n), where n is the sample size, we get:

1 + log2(30) ≈ 6 classes

However, using too many classes can make the histogram too detailed, while too few classes can oversimplify the data. Therefore, it is recommended to use 5 or 6 classes in this case, as they typically provide a good balance between detail and simplicity. Therefore, the best choice is B) 5 classes.

The Number of Items Rejected Daily by a Manufacturer Because