Question

Find the median of the square of the first 8 natural numbers. ​

Answer 1

• The median of the square of the first 8 natural numbers is 20.5 .
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Answer 2

Answer:

Median of the square of the first 8 natural numbers is 20.5.

Step-by-step explanation:

Given:- Square of first 8 natural numbers.

To Find:- Median of them.

Solution:-

The square of first 8 natural numbers are:

1, 4, 9, 16, 25, 36, 49, 64

As we know, here the number of elements is 8 i.e. even.

∴ Median = $[\frac{(\frac{n}{2})^{th} term + (\frac{n}{2}+1)^{th} term]}{2}$

∵ $(\frac{n}{2} )^{th}$ term = $\frac{8}{2}$ = $4^{th} term$ = 16 and,

$(\frac{n}{2} +1)^{th} term =( \frac{8}{2} +1)^{th} term = (4+1) ^{th} term = 5^{th} term =$ 25.

∴ Median = $\frac{16+25}{2}$

                = $\frac{41}{2}$ = 20.5

Hence, median of the square of the first 8 natural numbers is 20.5.

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