Given the impact of television on children\'s attitudes and behavior, an importa

Question

Given the impact of television on children's attitudes and behavior, an important concern of behavioral scientists is the amount of time that children of various ages spend watching television. The following data are representative of weekly viewing time (in hours) of a small group of 12 year-olds:

22, 18, 19, 24, 22, 21, 17, 20, 22, 20, 26, 20

a) Calculate the three measures of central tendency (averages) for these data. b) Calculate the range, interquartile range, variance and standard deviation for these data. Use a computation formula for calculating the variance and standard deviation.

Explanation / Answer

(a) mean=(22+...+20)/12 =20.91667
median= 20.5
mode=20

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b) Min. 1st Qu. Median Mean 3rd Qu. Max.
17.00 19.75 20.50 20.92 22.00 26.00


range = 26-17 =9
interquartile range =22-19.75 =2.25
variance = [(22-20.92)^+....+(20-20.92)^2]/11 =6.265
standard deviation = 6.265 = 2.503

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