Find the median of the following :
$12, 14, 15, 14, 17, 18, 17, 19, 17, 20, 19, 22, 21, 19, 15$

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Solution

Finding median of the given data:
Given data, $12, 14, 15, 14, 17, 18, 17, 19, 17, 20, 19, 22, 21, 19, 15$
Arranging in ascending order, $12, 14, 14, 15, 15, 17, 17, 17, 18, 19, 19, 19, 20, 21, 22$
Here number of terms, $n = 15$
So, $M e d i a n = \frac{n + 1}{2} t h t e r m f o r o d d n u m b e r o f t e r m s .$
Hence, Median $= \frac{15 + 1}{2} = 8^{t h} t e r m$
In the given data $8^{t h}$ is $17$ .
Hence, Median of the given data is $17$ .

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