First slide

Introduction to statistics

Question

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

Easy

A

2
B

2.57
C

3
D

3.75

Solution

Given, observations ate 3, 10, 10,4,7 , 10 and 5.
$∴ \bar{x} = \frac{3 + 10 + 10 + 4 + 7 + 10 + 5}{7} = \frac{49}{7} = 7$
$x_{i}$ $d_{i} = |x_{i} - \bar{x}|$
3 4
10 3
10 3
4 3
7 0
10 3
5 2
Total ${Σd}_{i} = 18$
Now, $M.D. = \frac{{Σd}_{i}}{N} = \frac{18}{7} = 2 .57$

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