The median of observations $11, 12, 14, 18$ , $y + 2, 20, 25$ and $61$ arranged in the ascending order is $21$ . Find the value of $y$ .

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Solution

$11, 12, 14, 18, y + 2, 20, 25, 61 M e d i a n = 21 N u m b e r o f o b s e r v a t i o n s = 8 M e d i a n = \frac{n}{2} + 1 = 4 + 1 = 5^{t h} o b s e r v a t i o n y + 2 = 21 y = 19$

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