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5 8 6 and k occurs with frequencies 3 2 4 and 1... - JAMB Mathematics 2009 Question

5, 8, 6 and k occurs with frequencies 3, 2, 4 and 1 respectively and have a mean of 5.7. Find the value of k
A
4
B
3
C
2
D
1
correct option: c
\(\begin{array}{c|c} x & f & fx\ \hline 5 & 3 & 15\ 8 & 2 & 16 \ 6 & 4 & 24\ k & 1 & k\ & \sum f & \sum fx = 55 + k\end{array}\)

mean \(\bar{x}\) = \(\frac{55 + k}{10}\)

= 5.7

k = 2
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