151
The median of the following distribution is $137$. Find the values of $x$ and $y$.
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For correct cf column (1 Mark)
n$47 + x + y = 68 \implies x + y = 21$ ...(i) (1 Mark)
nMedian class is $125 - 145$ and $N = 68$
n$137 = 125 + \frac{\frac{68}{2} - (9+x)}{20} \times 20$ (2 Marks)
n$137 = 125 + 34 - 9 - x$
n$12 = 25 - x \implies x = 13$ (1/2 Mark)
nAnd $y = 8$ (from (i)) (1/2 Mark)
n$47 + x + y = 68 \implies x + y = 21$ ...(i) (1 Mark)
nMedian class is $125 - 145$ and $N = 68$
n$137 = 125 + \frac{\frac{68}{2} - (9+x)}{20} \times 20$ (2 Marks)
n$137 = 125 + 34 - 9 - x$
n$12 = 25 - x \implies x = 13$ (1/2 Mark)
nAnd $y = 8$ (from (i)) (1/2 Mark)