Find the median of the following data.

133, 73, 89, 108, 94, 104, 94, 85, 100, 120

Given:

133, 73, 89, 108, 94, 104, 94, 85, 100, 120

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)

Arranging the given data in ascending order, we get,

$73, 85, 89, 94, 94, 100, 104, 108, 120, 133$

Here,

$n = 10$ which is even

Therefore,

Median $= \frac{1}{2}[5th\ term + 6th\ term]$

$= \frac{1}{2}(94+100)$

$= \frac{194}{2}$

$= 97$ 

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Updated on: 10-Oct-2022

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