Question

Find the Median of the data :

14, 25, 28, 32, 35, 36, 42, 50, 56, 61​

Answer 1

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Answer 2

Answer:-

Data Given:-

14, 25, 28, 32, 35, 36, 42, 50, 56, 61

Number of terms given:- 10

Formula for finding the medium for the data with even number of terms:-

$\bf{\dfrac{{\bigg(\dfrac{n}{2}\bigg)}^{th}+{\bigg(\dfrac{n}{2}+1\bigg)}^{th}}{2}}$

Putting the values,

$\leadsto\sf{\dfrac{{\bigg(\dfrac{10}{2}\bigg)}^{th}+{\bigg(\dfrac{10}{2}+1\bigg)}^{th}}{2}}$

$\leadsto\sf{\dfrac{{(5)}^{th}+{(5+1)}^{th}}{2}}$

$\leadsto\sf{\dfrac{{(5)}^{th}+{(6)}^{th}}{2}}$

Putting the values,

$\leadsto\sf{\dfrac{35+36}{2}}$

$\leadsto\sf{\dfrac{71}{2}}$

$\leadsto\bf{\underline{35.5}}$

$\rule{200}2$