Statistics Unit Test

13 of 1613 of 16 Items

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}

(1 point)

1 answer

To find the difference between the mean and median, we first need to calculate both values.

Mean:
(22+26+29+27+24+22+23+20+19+28+26+18+30+31+22+23+26+29+24+21) / 20
= 506 / 20
= 25.3

Median:
First, we need to reorder the data set in ascending order: {18, 19, 20, 21, 22, 22, 22, 23, 23, 24, 24, 26, 26, 26, 27, 28, 29, 29, 30, 31}
Since the dataset has 20 values, the median will be the average of the two middle values: (24+26) / 2 = 25

Difference:
25 - 25.3 = -0.3

Therefore, the difference between the mean and median of the dataset is -0.3.