select the correct answer.\nfiona has to plot a histogram of the given data.\n82, 83, 89, 67, 65, 88, 66…

select the correct answer.\nfiona has to plot a histogram of the given data.\n82, 83, 89, 67, 65, 88, 66, 69, 83, 81, 94, 68, 82, 69, 86, 83, 88, 62, 64, 93\nwhich frequency table should she use for the histogram?\na. interval 60 - 70 70 - 80 80 - 90 90 - 100\nfrequency 8 0 10 2\nb. interval 56 - 63 63 - 70 70 - 77 77 - 84 84 - 91 91 - 98\nfrequency 1 7 0 5 5 2\nc. interval 50 - 70 70 - 80 80 - 85 85 - 90 90 - 100\nfrequency 8 0 6 4 2\nd. interval 60 - 75 75 - 90 90 - 105\nfrequency 8 10 2

Answer

Explanation:

Step1: Count frequencies for each option

For the data set 82, 83, 89, 67, 65, 88, 66, 69, 83, 81, 94, 68, 82, 69, 86, 83, 88, 62, 64, 93. For option A:

In the interval 60 - 70: 67, 65, 66, 69, 68, 69, 62, 64. Frequency = 8.
In the interval 70 - 80: No values. Frequency = 0.
In the interval 80 - 90: 82, 83, 88, 83, 81, 82, 86, 83, 88. Frequency = 9 (not 10). So option A is incorrect. For option B:
In the interval 56 - 63: 62. Frequency = 1.
In the interval 63 - 70: 67, 65, 66, 69, 68, 69, 64. Frequency = 7.
In the interval 70 - 77: No values. Frequency = 0.
In the interval 77 - 84: 82, 83, 83, 81, 82, 83. Frequency = 6 (not 5). So option B is incorrect. For option C:
In the interval 50 - 70: 67, 65, 66, 69, 68, 69, 62, 64. Frequency = 8.
In the interval 70 - 80: No values. Frequency = 0.
In the interval 80 - 85: 82, 83, 83, 81, 82, 83. Frequency = 6.
In the interval 85 - 90: 89, 88, 86, 88. Frequency = 4.
In the interval 90 - 100: 94, 93. Frequency = 2. For option D:
In the interval 60 - 75: 67, 65, 66, 69, 68, 69, 62, 64. Frequency = 8.
In the interval 75 - 90: 82, 83, 89, 88, 83, 81, 82, 86, 83, 88. Frequency = 10.
In the interval 90 - 105: 94, 93. Frequency = 2. But the intervals in option D are less standard and less evenly - spaced compared to option C.

Answer:

C. Interval 50 - 70, 70 - 80, 80 - 85, 85 - 90, 90 - 100; Frequency 8, 0, 6, 4, 2