24.9k views
17 votes
What is the mean absolute deviation.

What is the mean absolute deviation.-example-1
User MrXQ
by
6.7k points

1 Answer

5 votes

Answer:

1.56 rounded 1.6

Explanation:

MAD (Mean Absolute Value):

step 1: Find the mean of the data

formula: sum of the data set / total number of terms

sum of the data set: 4 + 9 + 4 + 5 + 3 = 24

total number of terms: there is 5 numbers in the data set

mean = 24 / 5

mean = 4.8

step 2: Find the distance between each data and mean.

3, 4, 4, 5, 9

Distance between 3 and 4.8 is 1.8 (4.8 - 3 = 1.8)

Distance between 4 and 4.8 is 0.8 (4.8 - 4 = 0.8)

Distance between 4 and 4.8 is 0.8 (4.8 - 4 = 0.8)

Distance between 5 and 4.8 is -0.2 (4.8 - 5 = -0.2)

Distance between 9 and 4.8 is -4.2 (4.8 - 9 = -4.2)

step 3: take the absolute value of any negative numbers

|-0.2| and |-4.2| is 0.2 and 4.2

step 4: add all the distances

1.8 + 0.8 + 0.8 + 0.2 + 4.2 = 7.8

step 5: divided it by the number of data

7.8 / 5 = 1.56

Let me know if you have any questions !

User Aamadmi
by
7.0k points