#### What is the median of the squares of the first ten natural numbers?

Anonymous

0

Sangeetha Pulapaka

0

The squares of the first ten natural numbers are:

1^{2}, 2^{2}, 3^{2}, 4^{2}, 5^{2}, 6^{2}, 7^{2}, 8^{2}, 9^{2}, 10^{2}

= 1, 4, 9, 16, 25, 36, 49, 64, 81, 100

If the number of terms is even, we take the middle term and if the number of terms is odd then the median is the average of the

n^{th} and n^{n+1} th term.

The median is the mean of the two middle numbers = (25 + 36)/2 = 61/2 = 30.5

Skills you may further want to recall:

What is a natural number

https://en.wikipedia.org/wiki/Natural_number

What is the mean

https://www.purplemath.com/modules/meanmode.htm