Question

5. Find the mean deviation according to the
Mean of the given data sets
7,47,8,42,47,95,42,96,3
(2 points)​

Answer 1

Answer:

1028.78

Explanation:

Find the mean deviation according to the

Mean of the given data sets

7,47,8,42,47,95,42,96,3

Answer 2

Concept:

Mean deviation is the mean of the distances of the values from the mean.
Suppose we have values x₁,x₂,x₃,...,xₙ with mean $\overline{x}$
Then the mean deviation of the above values is
$\sum_{i=1}^{i=n}\frac{|x_i-\overline {x}|}{n}$

Given:

Given a data set 7,47,8,42,47,95,42,96,3

Find:

We need to determine the mean deviation of the values.

Solution:

Mean of the values = $\frac{7+47+8+42+47+95+42+96+3}{9}=\frac{387}{9}=43$

By using the formula:

mean deviation = $\sum_{i=1}^{i=n}\frac{|x_i-\overline {x}|}{n}$

⇒mean deviation = $\frac{|43-7|+|43-47|+|43-8|+|43-42|+|43-47|+|43-95|+|43-42|+|43-96|+|43-3|}{9}\\=\frac{36+4+35+1+4+52+1+53+40}{9}=\frac{226}{9}=25.\overline{1}$

Hence, the mean deviation of the values is 25(approx).

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