Question

the daily commute times (in minutes) of 40 employees are recorded. use the frequency distribution to determine the frequency distribution of the data.
2 51 24 12 12 59 10 51
16 22 38 2 50 30 24 45
6 41 16 56 36 25 32 2
38 21 1 25 6 14 49 26
38 25 45 24 42 27 42 59
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distance traveled frequency
0 - 4
5 - 9
10 - 14
15 - 19
20 - 24
25 - 29
30 - 34
35 - 39
40 - 44
45 - 49
50 - 54
55 - 59

Explanation:

Step1: Count data in 0 - 4 range

Count the numbers in the data - set that fall within the 0 - 4 range. The numbers 1, 2, 2, 2 are in this range. So the frequency is 4.

Step2: Count data in 5 - 9 range

The numbers 6, 6 are in the 5 - 9 range. So the frequency is 2.

Step3: Count data in 10 - 14 range

The numbers 10, 12, 12, 14 are in the 10 - 14 range. So the frequency is 4.

Step4: Count data in 15 - 19 range

The numbers 16, 16 are in the 15 - 19 range. So the frequency is 2.

Step5: Count data in 20 - 24 range

The numbers 21, 22, 24, 24, 24 are in the 20 - 24 range. So the frequency is 5.

Step6: Count data in 25 - 29 range

The numbers 25, 25, 25, 26, 27 are in the 25 - 29 range. So the frequency is 5.

Step7: Count data in 30 - 34 range

The number 30, 32 are in the 30 - 34 range. So the frequency is 2.

Step8: Count data in 35 - 39 range

The numbers 36, 38, 38, 38 are in the 35 - 39 range. So the frequency is 4.

Step9: Count data in 40 - 44 range

The numbers 41, 42, 42 are in the 40 - 44 range. So the frequency is 3.

Step10: Count data in 45 - 49 range

The numbers 45, 45, 49 are in the 45 - 49 range. So the frequency is 3.

Step11: Count data in 50 - 54 range

The numbers 50, 51, 51 are in the 50 - 54 range. So the frequency is 3.

Step12: Count data in 55 - 59 range

The numbers 56, 59, 59 are in the 55 - 59 range. So the frequency is 3.

Answer:

Distance Traveled	Frequency
5 - 9	2
10 - 14	4
15 - 19	2
20 - 24	5
25 - 29	5
30 - 34	2
35 - 39	4
40 - 44	3
45 - 49	3
50 - 54	3
55 - 59	3