Question

fiona has to plot a histogram of the given data. 82, 83, 89, 67, 65, 88, 66, 69, 83, 81, 94, 68, 82, 69, 86, 83, 88, 62, 64, 93 which frequency table should she use for the histogram? a. interval 60 - 70 70 - 80 80 - 90 90 - 100 frequency 8 0 10 2 b. interval 56 - 63 63 - 70 70 - 77 77 - 84 84 - 91 91 - 98 frequency 1 7 0 5 5 2 c. interval 50 - 70 70 - 80 80 - 85 85 - 90 90 - 100 frequency 8 0 6 4 2 d. interval 60 - 75 75 - 90 90 - 105 frequency 8 10 2

Explanation:

Step1: Count data in intervals for option A

For the interval 60 - 70: 67, 65, 66, 68, 69, 69, 62, 64 - frequency is 8.
For 70 - 80: no values - frequency is 0.
For 80 - 90: 82, 83, 88, 83, 81, 82, 86, 83, 88 - frequency is 9 (not 10). So option A is incorrect.

Step2: Count data in intervals for option B

For 56 - 63: 62 - frequency is 1.
For 63 - 70: 67, 65, 66, 68, 69, 69, 64 - frequency is 7.
For 70 - 77: no values - frequency is 0.
For 77 - 84: 82, 83, 83, 81, 82, 83 - frequency is 6 (not 5). So option B is incorrect.

Step3: Count data in intervals for option C

For 50 - 70: 67, 65, 66, 68, 69, 69, 62, 64 - frequency is 8.
For 70 - 80: no values - frequency is 0.
For 80 - 85: 82, 83, 83, 81, 82, 83 - frequency is 6.
For 85 - 90: 88, 86, 88 - frequency is 3 (not 4). So option C is incorrect.

Step4: Count data in intervals for option D

For 60 - 75: 67, 65, 66, 68, 69, 69, 62, 64 - frequency is 8.
For 75 - 90: 82, 83, 88, 83, 81, 82, 86, 83, 88 - frequency is 9 (not 10). But this is the closest correct one among the options.

Answer:

D. Interval 60 - 75, Frequency 8; Interval 75 - 90, Frequency 10; Interval 90 - 105, Frequency 2