Find the median of the following data.

12, 17, 3, 14, 5, 8, 7, 15

Given:

12, 17, 3, 14, 5, 8, 7, 15

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,

$3, 5, 7, 8, 12, 14, 15, 17$

Here,

$n = 8$ which is even

Therefore,

Median $= \frac{1}{2}(8+12)$

$= \frac{1}{2}(20)$

$= 10$

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Updated on: 10-Oct-2022

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