# How to Find Coefficient of Mean Deviation (with Examples)

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The coefficient of mean deviation can be calculated by dividing the value of the mean absolute deviation by the mean of the data.

Coefficient of Mean Deviation = Mean Absolute Deviation/Mean.

### Formula for Coefficient of Mean Absolute Deviation:

The value of the coefficient can be calculated using the formula,

Coefficient of Mean Deviation = Mean Absolute Deviation/Mean.

The Mean Absolute Deviation is given by the formula,

Mean Absolute Deviation = ∑|xi|/n.

#### Example 1:

Consider the set of data: 3, 3, 6, 7, 8, 9, 13.

Here, we have 7 data points therefore the value of n is 7. We first calculate the value of the mean for the given set of data values.

Mean = (3+ 3+ 6+ 7+ 8+ 9+ 13)/7 = 49/7 = 7.

We now calculate the value of the Mean Absolute Deviation as follows,

Mean Absolute Deviation = ∑|xi|/n = 18/7 = 2.5714.

We now calculate the value of the coeffcient of mean deviation as follows,

Coefficient of Mean Deviation = Mean Absolute Deviation/Mean = 2.5714/7 = 0.3673.

#### Example 2:

Consider the following set of data: 16, 39, 45, 46, 49, 99.

Mean = (16+ 39 + 45+ 46+ 49 + 99)/6 = 49.

Mean Absolute Deviation = 110/6 = 16.6667

Coefficient of Mean Deviation = Mean Absolute Deviation/Mean = 16.6667/49 = 0.3401.

Summary
Article Name
How to Find Coefficient of Mean Deviation (with Examples)
Description
The coefficient of mean deviation can be calculated by dividing the value of the mean absolute deviation by the mean of the data. Coefficient of Mean Deviation = Mean Absolute Deviation/Mean.