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The mode of the distribution below is 24. Classes 0–10, 10–20, 20–30, 30–40, 40–50 have frequencies 5, $x$ , 15, 12, 7. Find $x$ .

Competition practiceStatistics

A12
B11
C13
D14

Step-by-Step Solution

Modal class 20–30:

20 + \frac{15 - x}{30 - x - 12} \times 10 = 24 \Rightarrow 150 - 10 x = 72 - 4 x

, so

x = 13

.

Answer: C) 13

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