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the data set provided below provides the heights in feet of 31 felled b…

Question

the data set provided below provides the heights in feet of 31 felled black cherry trees.
69 67 65 73 82
85 68 75 82 75
78 74 78 69 74
74 86 88 72 66
77 79 74 73 75
82 81 79 82 80
88

  1. complete the frequency distribution for the data.

height frequency
60,65)
65,70)
70,75)
75,80)
80,85)
85,90)

  1. which of the following is the correct histogram for the

Explanation:

Step1: Count for [60,65)

There are no values in the dataset in the range [60,65), so the frequency is 0.

Step2: Count for [65,70)

The values 65, 67, 68, 69, 69 in the dataset are in the range [65,70). So the frequency is 5.

Step3: Count for [70,75)

The values 72, 73, 73, 74, 74, 74, 74, 74 in the dataset are in the range [70,75). So the frequency is 8.

Step4: Count for [75,80)

The values 75, 75, 75, 77, 78, 78, 79, 79 in the dataset are in the range [75,80). So the frequency is 8.

Step5: Count for [80,85)

The values 80, 81, 82, 82, 82, 82 in the dataset are in the range [80,85). So the frequency is 6.

Step6: Count for [85,90)

The values 85, 86, 88, 88 in the dataset are in the range [85,90). So the frequency is 4.

Answer:

HeightFrequency
[65,70)5
[70,75)8
[75,80)8
[80,85)6
[85,90)4