Question

The list below shows the number of text messages that five students sent from their phone during a school day.



34, 12, 49, 8, 2



Find the mean absolute deviation of the list of numbers.


The list below shows the number of text messages that five students sent from their phone during a school day.



34, 12, 49, 8, 2



Find the mean absolute deviation of the list of numbers.


21


72


14.8


16.4

Answer 1

To find the mean absolute deviation (MAD) of a list of numbers, follow these steps:

1. Calculate the mean (average) of the list of numbers:
Mean = (34 + 12 + 49 + 8 + 2) / 5 = 21

2. Calculate the absolute deviation of each number from the mean:
|34 - 21| = 13
|12 - 21| = 9
|49 - 21| = 28
|8 - 21| = 13
|2 - 21| = 19

3. Calculate the mean of the absolute deviations:
MAD = (13 + 9 + 28 + 13 + 19) / 5 = 16.4

So, the mean absolute deviation of the list of numbers is 16.4.