For the distribution with classes 0–10, 10–20, 20–30, 30–40, 40–50 and frequencies 5, 8, 12, 10, 5 respectively, the median is (approximately)
A. 24.17
B. 26.5
C. 25
D. 25.83
A. 24.17
B. 26.5
C. 25
D. 25.83
Best answer
Answer: D. 25.83
\(N = 40\), \(\frac{N}{2} = 20\). Cumulative frequencies are 5, 13, 25, ..., so the median class is 20–30 with \(L = 20, cf = 13, f = 12, h = 10\). Median \(= 20 + \frac{20 - 13}{12} \times 10 = 20 + 5.83 = 25.83\).
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