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

Step-by-step 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

Appropriate first interval is:

c. 0-10

Step-by-step 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

option a.

step-by-step explanation:

if you look closely at the graph, we can notice that the function is not defined at two different points.

if you look at functions b and c, you will notice that both functions are not defined at just one point. the function b is not defined at x= -5/2 and function c is not defined at x=-5. both options are discarded, given that our function should not be defined at two fiferent points.

now, if you look closely at the graph you will notice that the function sketched is not defined at x=5 and x=-2.