Statisticshard · Past Paper

Find the median of the following frequency distribution: (X: 10, 20, 30, 40) (f: 3, 5, 8, 4).

A20
B25
C30
D35

✓ Correct Answer: C30

N = sum(f) = 20. Median position = (20+1)/2 = 10.5th item. Cumulative frequencies are 3, 8, 16, 20. The 10.5th item lies in the CF of 16, so X = 30.

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