Question

find the median of 12,14,10,16,14,20,10,15,18 and 16​

Answer 1

Hlw Dude !!

☆Question :

Find the median of,

12,14,10,16,14,20,10,15,18 and 16​

☆ Answer :

As we know,

Formula for calculating mean is

$\huge{\boxed{\bf{\dfrac{n+1}{2}}}}}$

The given numbers are,

12, 14, 10, 16, 14, 20, 10, 15, 18 and 16​.

For finding mean, first we wanna arrange these numbers in ascending order, ie, from small numbers to large numbers.

Then,

10, 10, 12, 14, 14, 15, 16 , 16, 18, 20.

According to the formula,

n = Total number of terms

∴ n = 10

Median =  $\bf\dfrac{n+1}{2}$

$\implies\bf\dfrac{10+1}{2}= \bf\dfrac{11}{2}$

But it is impossible to find 5.5th term.

In such cases we can use this formula ;

$\huge{\boxed{\bf{\dfrac{n}{2}+(\bf{\dfrac{n}{2}+1)}}}$

Here ie,

$\implies\bf\dfrac{n}{2} +(\bf\dfrac{n}{2}+1)$

$\implies\bf\dfrac{10}{2}+(\bf\dfrac{10}{2}+1)$

$\implies\bf{5th\:term +6th\:term}$

$\implies\bf{14 +15 = 29}$

So the median of the given numbers are 29.

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