Find the median of the following data.

15, 6, 16, 8, 22, 21, 9, 18, 25

Given:

15, 6, 16, 8, 22, 21, 9, 18, 25

To do:

We have to find the median of the given data.

Solution:

We know that,

Median $= \frac{1}{2}[\frac{n}{2}th\ term+(\frac{n}{2}+1)th\ term]$  (when $n$ is even)

$=\frac{n+1}{2}th\ term$    (when $n$ is odd)

Arranging the given data in ascending order, we get,

$6, 8, 9, 15, 16, 18, 21, 22, 25$

Here,

$n =9 $ which is odd

Therefore,

Median $= \frac{9+1}{2}th\ term$

$= \frac{10}{2}$th term

$= 5$th term

$= 16$   

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Updated on: 10-Oct-2022

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