Question on: JAMB Mathematics - 1992

(\begin{array}{c|c} x & 2 & 4 & 6 & 8\ \hline f & 4 & y & 6 & 5 \end{array})

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

A
2, 1
B
1, 2
C
1, 5
D
5, 2
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Correct Option: C

Mean (\bar{x}) = (\frac{\sum fx}{\sum f})

= (\frac{5.2}{1})

= (\frac{8 + 4y + 36 + 40}{4 + y + 6 + 5})

= (\frac{5.2}{1})

= (\frac{84 + 4y}{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 = (\frac{6}{1.2})

= (\frac{60}{12})

= 5

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