Following are scores for 40 12-year old children. The scores are the average num

Question

Following are scores for 40 12-year old children. The scores are the average number of hours that each child watches TV per week: 4, 4, 4, 8, 10, 10, 11, 12, 12, 15, 15, 15, 16, 16, 16, 18, 18, 18, 18, 19, 20, 20, 20, 21, 22, 22, 22, 22, 22, 24, 26, 26, 28, 28, 31, 31, 31, 36, 37, 49 a. With these 40 scores, create a frequency chart with the following columns: Raw score, absolute frequency, cumulative frequency, absolute percentage, and cumulative percentage. b. Use your chart to identify the mode and median for this set of scores. Then identify which specific score represents about the 25th percentile and which score represents about the 75th percentile.

Explanation / Answer

A)

B) Mode = 22

Median = 19

25th percentile = 15

(15 is between 22.5 percentile and 30 percentile)

75th percentile = 24

Score frequency cumulative frequency percentage cumulative percentage 4 3 3 7.5 7.5 8 1 4 2.5 10 10 2 6 5 15 11 1 7 2.5 17.5 12 2 9 5 22.5 15 3 12 7.5 30 16 3 15 7.5 37.5 18 4 19 10 47.5 19 1 20 2.5 50 20 3 23 7.5 57.5 21 1 24 2.5 60 22 5 29 12.5 72.5 24 1 30 2.5 75 26 2 32 5 80 28 2 34 5 85 31 3 37 7.5 92.5 36 1 38 2.5 95 37 1 39 2.5 97.5 49 1 40 2.5 100

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