Answer:
The mean absolute deviation is 3.75
Step-by-step explanation:
Given:
Miles travel: 15, 25, 13, 15, 18, 20, 22, 24
Mean: 19 miles
Required:
Mean absolute deviation.
Given that the mean of the data is known, we start by subtracting the mean from each dataset
15 - 19 = -4
25 - 19 = 6
13 - 19 = -6
15 - 19 = -4
18 - 19 = -1
20 - 19 = 1
22 - 19 = 3
24 - 19 = 5
Then we calculate the absolute value of each
|-4| = 4
|6| = 6
|-6| = 6
|-4| = 4
|-1| = 1
|1| = 1
|3| = 3
|5| = 5
Add up these result;
4 + 6 + 6 + 4 + 1 + 1 + 3 + 5
= 30
Divide by number of data, to give mean absolute deviation (MAD)
MAD = 30/8
MAD = 3.75
Hence, the mean absolute deviation is 3.75
