\(x\) 2 4 6 8 \(f\) 4 \(y\) 6 5 If the mean of the above frequency distribution is 5.2, find y

Assessment: JAMB UTME - Mathematics - 1992 Subject: General Mathematics

Question 1 Report

\(x\) 2 4 6 8
\(f\) 4 \(y\) 6 5

If the mean of the above frequency distribution is 5.2, find y

Answer Details
Mean  x ¯  =  ∑ f x ∑ f
=  5.2 1
=  8 + 4 y + 36 + 40 4 + y + 6 + 5
=  5.2 1
=  84 + 4 y 15 + y
= 5.2(15 + y)
= 84 + 4y
= 5.2 x 15 + 5.2y
= 84 + 4y
= 78 + 5.2y
= 84 = 4y
= 5.2y - 4y
= 84 - 78
1.2y = 6
y =  6 1.2
=  60 12
= 5

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