CA Foundation P3 · Chapter 14 · Question 5 of 10
For the distribution below, the mode is (to two decimals): Class: 0–10, 10–20, 20–30, 30–40, 40–50 Frequency: 5, 8, 12, 10, 5
Test yourself: pick an answer
Reveal answer & explanation
Correct answer: A) 26.67
Explanation
The modal class is 20–30 with f₁ = 12, f₀ = 8, f₂ = 10, L = 20, h = 10. Mode = L + [(f₁ − f₀)/(2f₁ − f₀ − f₂)] x h = 20 + [4/(24 − 8 − 10)] x 10 = 20 + (4/6) x 10 = 26.67. Using (f₁ − f₂) in the numerator gives 23.33.
More Measures of Central Tendency and Dispersion MCQs
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