Question

give me examples for all of them

absolute deviation – the absolute value of the distance from the data point to the mean

mean absolute deviation (MAD) – the sum of the absolute deviations divided by the number of data values

Answer 1

Example:

Data set: 2, 4, 6, 8, 10

Mean = (2+4+6+8+10)/5 = 6

Absolute deviations:
|2-6| = 4
|4-6| = 2
|6-6| = 0
|8-6| = 2
|10-6| = 4

MAD = (4+2+0+2+4)/5 = 2.4

In this example, the mean absolute deviation is 2.4.

Answer 2

what about M.A.D mean absolute deviation – the sum of the absolute deviations divided by the number of data values

Answer 3

Example:

Data set: 5, 8, 10, 12, 15

Mean = (5+8+10+12+15)/5 = 10

Absolute deviations:
|5-10| = 5
|8-10| = 2
|10-10| = 0
|12-10| = 2
|15-10| = 5

MAD = (5+2+0+2+5)/5 = 2.8

In this example, the mean absolute deviation is 2.8.

Answer 4

what about

Data set: 5, 8, 10, 12, 15

Mean = (5+8+10+12+15)/5 = 10

Absolute deviations:
|5-10| = 5
|8-10| = 2
|10-10| = 0
|12-10| = 2
|15-10| = 5

MAD = (5+2+0+2+5)/5 = 2.8

In this example, the mean absolute deviation is 2.8.

Answer 5

Yes, that's correct. In the example provided, the mean absolute deviation (MAD) is calculated as 2.8.

Answer 6

what about

absolute deviation – the absolute value of the distance from the data point to the mean

Answer 7

In the example provided for the data set {5, 8, 10, 12, 15} with a mean of 10, the absolute deviations from the mean for each data point are as follows:

|5-10| = 5
|8-10| = 2
|10-10| = 0
|12-10| = 2
|15-10| = 5

The absolute deviation is 5 for the data point 5, 2 for the data points 8 and 12, and 0 for the data point 10.