The following table gives the frequency distribution of thenumber of hours spent

Question

The following table gives the frequency distribution of thenumber of hours spent per week playing video games by all 60students of the eight grade at a school. hours per week No of students 0-5 7 5-10 12 10-15 15 15-20 13      20-25 8 25-30 5 Find the mean, variance and standard deviation The following table gives the frequency distribution of thenumber of hours spent per week playing video games by all 60students of the eight grade at a school. hours per week No of students 0-5 7 5-10 12 10-15 15 15-20 13      20-25 8 25-30 5 Find the mean, variance and standard deviation hours per week No of students 0-5 7 5-10 12 10-15 15

Explanation / Answer

What you would need to do in this case is to generalize each of thecategories on the left side by using the mean of each interval. For instance, change theproblem to one such that 7 students spent 2.5 hours a week playing, 12 students spent 7.5 hours a weekplaying, 15 students spent 12.5 hours a week playing, 13 students spent 17.5 hours a week playing ,8 students spent 22.5 hours a week playing and 5 students spent 27.5 hours a week playing. Now you can use this revised data summary to find the mean, andthen the variance and finally the standard deviation through the usual formulas

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