#### A PHP Error was encountered

Severity: Warning

Message: count(): Parameter must be an array or an object that implements Countable

Filename: controllers/formulas.php

Line Number: 37

Mean Absolute Deviation Formula Online - Tutorpace

# Mean Absolute Deviation Formula

## Online Tutoring Is The Easiest, Most Cost-Effective Way For Students To Get The Help They Need Whenever They Need It.

Definition: - The mean absolute deviation (MAD) is the average of the absolute values of the deviations around the mean for a set of numbers.

Mean Absolute Deviation Formula:-
MAD=∑ l x- µl / N

Where,
µ= Mean population
N= Number of values

Example: - Suppose a small company started a production line to build computers. During the first five weeks of production, the output is 5, 9, 16, 17, and 18 computers respectively. Compute the mean absolute deviation.

Solution:-
Step 1:-At first we will find the population mean µ of the given data.

µ=∑x / N
=(5+9+16+17+18)/ 5                      Since there are five values in the data.
So N= 5
=65/5
=13
Step 2:- Find the deviation from the mean.
 Number (x) Deviations from the Mean (x- µ) Absolute deviation lx-µl 5 5-13=-8 8 9 9-13=-4 4 16 16-13=+3 3 17 17-13=+4 4 18 18-13=+5 5 ∑x =65 ∑(x- µ)=0 ∑ lx-µl = 24

Hence
MAD=∑ l x- µl / N
=24/ 5
=4.8

Another example: - The following data give the prices of seven textbooks randomly from a university bookstore.
89, 57, 104, 73, 26, 121, and 81.
Calculate the mean absolute deviation. µ=∑x / N
=551/ 7
=78.71

And MAD=∑ l x- µl / N
=160.29/ 7
=22.899