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In the frequency distribution Value 2: frequency 4, Value 4: frequency 6, Value 6: frequency f, Value 8: frequency 5, the mean is 5. Find f.

Competition practiceData & Probability

A2
B3
C5
D4

Step-by-Step Solution

Σfx =

8 + 24 + 6 f + 40 = 72 + 6 f

and Σ

f = 15 + f

. Setting

(72 + 6 f) / (15 + f) = 5

gives

72 + 6 f = 75 + 5 f

, so

f = 3

.

Answer: B) 3

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