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The median of the distribution below is 50. Classes 0–20, 20–40, 40–60, 60–80, 80–100 have frequencies 6, $x$ , 18, 12, 4. Find $x$ .

Competition practiceStatistics

A8
B10
C12
D9

Step-by-Step Solution

With

N = 40 + x : 40 + \frac{( 20 + x /2 ) - ( 6 + x )}{18} \times 20 = 50 \Rightarrow 14 - \frac{x}{2} = 9

, so

x = 10

.

Answer: B) 10

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