Mathematics: How do you solve the mean absolute deviation of 4,2,9,3,1,8

How do you solve the mean absolute deviation of

preciosakassidy

16.01.2022

Mean absolute deviation = 2.66

Solution:

Step 1: Calculate the mean of the given observation.

$\text{Mean}=\frac{\text {Sum of the observation}}{\text {Number of observation}}$

$=\frac{4+2+9+3+1+8}{6}$

$=\frac{27}{6}$

Mean = 4.5

Step 2: Calculate the distance between each data point and mean.

The image of this step is attached below.

Step 3: Add distance together.

0.5 + 2.5 + 4.5 + 1.5 + 3.5 + 3.5 = 16

Step 4: Divide the sum by the number of data points.

Mean absolute deviation = $\frac{16}{6}=2.66$

Hence, Mean absolute deviation = 2.66

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