Find the median of the following data.

83, 37, 70, 29, 45, 63, 41, 70, 34, 54

Given:

83, 37, 70, 29, 45, 63, 41, 70, 34, 54

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,

$29, 34, 37, 41, 45, 54, 63, 70, 70, 83$

Here,

$n = 10$ which is even

Therefore,

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

$= \frac{1}{2}(45+54)$

$= \frac{99}{2}$

$= 49.5$

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Updated on: 10-Oct-2022

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