Question

Find the mean absolute deviation of the set of data. 2, 3, 5, 7, 9

Answer 1

Answer:

2.4

Step-by-step explanation:

To find the mean absolute deviation, find how much each value is away from the mean, and divide it by the number of numbers you have. In this case, the mean is 5, and the deviation of each number is 4, 2, 0, 2, and 4. Add these up and you get 12. Divide 12 by the number of numbers which you have, which is 5, to get 2.4.

Answer 2

We have that The mean absolute deviation of the set of data. 2, 3, 5, 7, 9 is

$\sigma=2.24$

From the question we are told

Find the mean absolute deviation of the set of data. 2, 3, 5, 7, 9

Generally the equation for the mean absolute deviation  is mathematically given as

$\sigma={\frac{\sum(x-u)}{N}$

Where

$x=\frac{2+3+5+7+9}{5}\\\\x=5.2$

Therefore

$\sigma={\frac{\sum(x-u)}{N}\\\\\sigma=\frac{3.2+2.2+0.2+1.8+3.8}{5}\\\\\sigma=2.24$

Therefore

The mean absolute deviation of the set of data. 2, 3, 5, 7, 9 is

$\sigma=2.24$

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