Question

What is the median of this data set?
{29, 22, 23, 31, 29, 29, 22, 23}

Answer 1

Hello!

In order to find the median of a dataset, we should first order the numbers in the dataset from least to greatest:

29, 22, 23, 31, 29, 29, 22, 23

The smallest number is 22, then 23, then 29, then 31:

22, 22, 23, 23, 29, 29, 29, 31

How many numbers are in this set? 8. An even number!

So we find the mean of the 2 numbers in the middle (23 & 29)

We add these numbers and then divide by 2 (because we have 2 numbers)

`\bf{\displaystyle(23+29)/(2)}`

`\bf{\displaystyle(52)/(2)}`

Which is equal to

`\boxed{\bigstar{\text{Answer:{\boxed{\boxed{26}}}}}}`

Hope everything is clear.

Let me know if you have any questions!

#KeepLearning

:-)

Answer 2

The median is 26

Explanation:

A "median" is equivalent to when the terms are arranged in the proper order, whichever term is in the "middle".

So- first, arrange the terms in ascending order.

[22, 22, 23, 23, 29, 29, 29, 31]

There are an even number- eight- terms in total, so we will take the average of the two "middle" terms.

(29+23)/2; 29 and 23 are the "middle" terms, and there are two of them.

(52)/2 = 26

Therefore, the median is 26.

I hope this helped! :)