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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

Options

  • 25

  •  5

  • 1.2

  • 0

     
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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
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