The Mean Deviation of the Numbers 3, 4, 5, 6, 7 from the Mean is (A) 25 (B) 5 (C) 1.2 (D) 0 - Mathematics

MCQ

The mean deviation of the numbers 3, 4, 5, 6, 7 from the mean is

• 25

•  5

• 1.2

• 0

Solution

1.2

$\text{ Mean } \left( X \right) = \frac{3 + 4 + 5 + 6 + 7}{5}$

$= \frac{25}{5}$

$= 5$

Taking the absolute value of deviation of each term from the mean, we get:

$MD = \frac{\left| (3 - 5) \right| + \left| (4 - 5) \right| + \left| (5 - 5) \right| + \left| (6 - 5) \right| + \left| (7 - 5) \right|}{5}$

$= \frac{2 + 1 + 0 + 1 + 2}{5}$

$= \frac{6}{5}$

$= 1 . 2$

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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 32 Statistics
Q 9 | Page 51