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Calculate the mean deviation about the mean of the following data: 3,6,5,7,10,12,15,18
1 Answer
written 5.6 years ago by |
Solution:
Xi | dI=xI−ˉx | |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} …