Question

What is the difference between the median and the mean of the dataset? Write your answer in decimal form. {22,26,29,27,24,22,23,20,19,28,26,18,30,31,22,23,26,29,24,21}

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the median, we need to first arrange the dataset in ascending order:

{18, 19, 20, 21, 22, 22, 22, 23, 23, 24, 24, 26, 26, 26, 27, 28, 29, 29, 30, 31}

There are 20 numbers in the dataset, so the middle two numbers are the 10th and 11th numbers. These are 24 and 24.

To find the median, we take the average of these two numbers:

(24 + 24) / 2 = 24

Therefore, the median is 24.

To find the mean, we sum up all the numbers in the dataset and divide by the total number of data points:

(22 + 26 + 29 + 27 + 24 + 22 + 23 + 20 + 19 + 28 + 26 + 18 + 30 + 31 + 22 + 23 + 26 + 29 + 24 + 21) / 20

= 21.7

Therefore, the mean is 21.7.

The difference between the median and the mean is:

24 - 21.7 = 2.3

So, the difference between the median and the mean of the dataset is 2.3.