Question

The mean deviation of the data 3,10,10,4,7,10,5 from the mean is

• A. 2
• B. 2.57
• C. 3
• D. 3.57

Answer 1

The correct option is B

2.57

The given observations are 3,10,10,4,7,10,5

$\therefore$ Mean ,

$\overline{x}=\frac{3+10+10+4+7+10+5}{7}=\frac{49}{7}=7$

Now,

Mean deviation from mean , MD

$=\frac{\sum |x_i-7|}{7}=\frac{|3-7|+|10-7|+|10-7|+|4-7|+|7-7|+|10-7|+|5-7|}{7}$

$\frac{4+3+3+3+0+3+2}{7}=\frac{18}{7}=2.57$

Hence, the correct answer is (b)