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# 100 students were randomly picked up from a class and the frequency distribution of the number of hours per week they spent playing outdoor games was obtained as follows: No. of hours per week 1-4 4-7 7-10 10-13 13-16 16-19 No. of students 6 30 40 16 4 4 Determine the median number of hours spent by the students playing in a week.

Asked by Topperlearning User 10th April 2014, 1:52 PM

We can find cumulative frequencies with their respective class intervals as below:

 No. of hours per week Number of students (fi) Cumulative frequency 1 - 4 6 6 4 - 7 30 30 + 6 = 36 7 - 10 40 36 + 40 = 76 10 - 13 16 76 + 16 = 92 13 - 16 4 92 + 4 = 96 16 - 19 4 96 + 4 = 100 Total (n) = 100

Now we may observe that cumulative frequency just greater than is 76 belonging to class interval 7 - 10.

Median class = 7 - 10

Lower limit (l) of median class = 7

Cumulative frequency (cf) of class preceding median class = 36

Frequency (f) of median class = 40

Class size (h) = 3

Median

= 8.05

Answered by Expert 10th April 2014, 3:52 PM
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