For the distribution with classes 0–10, 10–20, 20–30, 30–40, 40–50 and frequencies 3, 7, 15, 9, 6 respectively, the mode is (approximately)
A. 25.71
B. 25
C. 26.67
D. 24.29
A. 25.71
B. 25
C. 26.67
D. 24.29
Best answer
Answer: A. 25.71
The modal class is 20–30: \(L = 20, f_1 = 15, f_0 = 7, f_2 = 9, h = 10\). Mode \(= 20 + \frac{15 - 7}{30 - 7 - 9} \times 10 = 20 + \frac{80}{14} \approx 25.71\).
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