Answer:
Step-by-step explanation:
Mean: 8 + 7 + 8.5 + 6.5 + 5 + 11 + 15 + 8 + 8 + 7 + 7.5 + 6.5 + 8 + 14 + 12 = 132 / 15 = 8.8
Median: You have to arrange the numbers first in ascending order.
5, 6.5, 6.5, 7, 7, 7.5, 8, 8, 8, 8, 8.5, 11, 12, 14, 15
The median is 8 because that is the middle value/number.
Mean Absolute Deviation:
Get the average/mean (1), find the deviation (2) to get MAD (3).
Step #1 Mean = 8.8
Step #2 To get the deviation, you subtract the mean from the values given.
8 - 8.8 = -0.8
7 - 8.8 = -1.8
8.5 - 8.8 = -0.3
6.5 - 8.8 = -2.3
5 - 8.8 = -3.8
11 - 8.8 = 2.2
15 - 8.8 = 6.2
8 - 8.8 = -0.8
8 - 8.8 = -0.8
7 - 8.8 = -1.8
7.5 - 8.8 = -1.3
6.5 - 8.8 = -2.3
8 - 8.8 = -0.8
14 - 8.8 = 5.2
12 - 8.8 = 3.2
Step #3 Get the summation from step #2, and get its average. Disregard the negative signs.
0.8 + 1.8 + 0.3 + 2.3 + 3.8 + 2.2 + 6.2 + 0.8 + 0.8 + 1.8 + 1.3 + 2.3 + 0.8 + 5.2 + 3.2 = 33.6 / 15 = 2.24 is the Mean Asolute Deviation
Median Absolute Deviation:
Get the median (1) and subtract it from the values (2). Get the median of the new values (3)
Step #1 Median = 8
Step #2
8 - 8 = 0
7 - 8 = -1
8.5 - 8 = 0.5
6.5 - 8 = -1.5
5 - 8 = -3
11 - 8 = 3
15 - 8 = 7
8 - 8 = 0
8 - 8 = 0
7 - 8 = -1
7.5 - 8 = -0.5
6.5 - 8 = -1.5
8 - 8 = 0
14 - 8 = 6
12 - 8 = 4
Step #3 Arrange the numbers in ascending order.
-3, -1.5, -1.5, -1, -1, -0.5, 0, 0, 0, 0, 0.5, 3, 4, 6, 7
The Median Absolute Deviation is 0 since it is the middle value/number.
It is important that you calculate this by yourself in case I did some careless mistakes.
