the list shows how many goals a soccer team scored in 8 games.
3 2 2 4 1 6 0 2
what is the mean absolute deviation of the numbers in the list?
a 2.5
b 1.25
c 2
d 1.375
To calculate the mean absolute deviation, we first need to find the mean of the numbers in the list.
Mean = (3 + 2 + 2 + 4 + 1 + 6 + 0 + 2) / 8
Mean = 20 / 8
Mean = 2.5
Next, find the absolute deviation of each number from the mean:
|3 - 2.5| = 0.5
|2 - 2.5| = 0.5
|2 - 2.5| = 0.5
|4 - 2.5| = 1.5
|1 - 2.5| = 1.5
|6 - 2.5| = 3.5
|0 - 2.5| = 2.5
|2 - 2.5| = 0.5
Now, find the mean of these absolute deviations:
(0.5 + 0.5 + 0.5 + 1.5 + 1.5 + 3.5 + 2.5 + 0.5) / 8 = 10 / 8 = 1.25
Therefore, the mean absolute deviation of the numbers in the list is b) 1.25.