MCQ
The mean deviation of the data $3,10,10,4,7,10,5$ from the mean is
  • A
    3.75
  • 2.57
  • C
    3
  • D
    2

Answer

Correct option: B.
2.57
(b) 2.57
Explanation:
Given data is $3,10,10,4,7,10,5$. They are total 7 .
Here mean, $\bar{x}=\frac{3+10+10+4+7+10+5}{7}=\frac{49}{7}=7$
This can be written in table form as,
Data (xi)$d _{ i }=\left| x _{ i }-\bar{x}\right|$
3=|3-7|=4
10=|10-7|=3
10=|10-7|=3
4=|4-7|=3
7=|7-7|=0
10=|10-7|=3
5=|5-7|=2
Total$\Sigma d _{ i }=18$
Hence Mean Deviation becomes,
$
\text { M.D }=\frac{\sum d_i}{7}=\frac{18}{7}=2.57
$
Therefore, the mean deviation about the mean of the distribution is 2.57

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