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Calculate the mean deviation about the mean of the following data: 3,6,5,7,10,12,15,18
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Solution:

Xi dI=xIˉx |di|
3 -6.5 6.5
5 -4.5 4.5
6 -3.5 3.5
7 -2.5 2.5
10 0.5 0.5
12 2.5 2.5
15 5.5 5.5
18 8.5 8.5
(xi=76 |di|=34

where Mean ¯x=xiN=768$ \begin{aligned} \overline{x}=9.5 \ \text { Mean deviation about mean } &=\frac{\sum\left|d_{i}\right|}{N} \ &=\frac{34}{8}=4.25 \end{aligned} …

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