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Find the missing value of p for the following distribution whose mean is 12.58.

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Find the missing value of p for the following distribution whose mean is 12.58.

x: 5 8 10 12 p 20 25
f: 2 5 8 22 7 4 2

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Mean score = Σ fi xi/ Σ fi

12.58 = 524 + 7p/50

524 + 7 p = 12.58 x 50

7 p = 629 – 524

p = 105/7

p = 15

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