Find the median of the following :
$58, 55, 52, 53, 59, 56, 54, 57, 53, 51, 50, 54, 51, 50, 56, 50, 58$

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Solution

Finding median of the given data:
Given data, $58, 55, 52, 53, 59, 56, 54, 57, 53, 51, 50, 54, 51, 50, 56, 50, 58$
Arranging in ascending order, $50, 50, 50, 51, 51, 52, 53, 53, 54, 54, 55, 56, 56, 57, 58, 58, 59$
Here number of terms, $n = 17$
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 $= \frac{17 + 1}{2} = 9^{t h} t e r m$
In the given data $9^{t h}$ is $54$ .
Hence, Median of the given data is $54$ .

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