Question 45

Jambmaths question: 

5, 8, 6 and k occur with frequencies 3, 2, 4 and 1 respectively and have a mean of 5.7. Find the value of k

Jamb Maths Solution: 

$\begin{align}  & mean=\overline{x}=\frac{\sum{fx}}{\sum{f}}=\frac{(5\times 3)+(8\times 2)+(6\times 4)+(k\times 1)}{3+2+4+1} \\ & 5.7=\frac{15+16+24+k}{10};\text{    }57=55+k;\text{    }k=2 \\\end{align}$

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