Question

Luisa is making a histogram for the following set of data: 11, 77, 35, 5, 76, 34, 89, 92, 22. Which is an appropriate first interval if she plans to use 10 intervals?

a. 0–5
b. 0–50
c. 0–10
d.0–100

Answer 1

Appropriate first interval is:

c. 0-10

Explanation:

The set of data for the histogram is given below:

5

11

22

34

35

76

77

89

92

First state the maximum and minimum values of the set of data given:

Maximum value = 92

Minimum value = 11

Total Number of intervals = 10

To find the appropriate size of interval, subtract minimum vavlue from the maximum value and divide it by 10

Minimum Size of interval = (92 - 11)/10 = 8.1

We can see the from the options, the nearest to 8.1 is 10, which can easily fit all the values. So

Size of interval = 10

First interval = 0 - 10

Answer 2

Explanation:

The given data is 11, 77, 35, 5, 76, 34, 89, 92, 22

The total number of items in the data is 9. The width of each class interval would be gotten by dividing the difference between the minimum and maximum items in the data by the number of class intervals. From the information given,

Minimum item = 5

Maximum item = 92

Difference = 92 - 5 = 7

Class width = 87/10 = 8.7

By approximation, it is closest to 10

Therefore, the appropriate class group is 0 to 10