The frequencies of a distribution with classes 0-10, 10-20, 20-30, 30-40, 40-50 are 5, x, 20, 15, 10. If the total frequency is 70 and the median is 25, find x.

Question

Accepted Answer

20. Total: 5 + x + 20 + 15 + 10 = 70, so x = 20. Check median: n/2 = 35, cumulative 5, 25, 45,... median class 20-30, l = 20, cf = 25, f = 20, h = 10. Median = 20 + 35 - 25/20 × 10 = 20 + 5 = 25. Consistent, x = 20.

The frequencies of a distribution with classes 0-10, 10-20, 20-30, 30-40, 40-50 are 5, $x$ , 20, 15, 10. If the total frequency is 70 and the median is 25, find $x$ .

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