begin array c c x amp 2 amp 4 amp 6 amp 8 hline... - JAMB Mathematics 1992 Question
(\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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