The mean deviation of 2, 4, 6, 8, 10 about its mean is Options: A . &nbsp4.2 B . &nbsp2.4 C . &nbsp3.4 D . &nbsp4.3

Answer: Option B : B M e a n ( ¯ x ) = ∑ x i n = 2 + 4 + 6 + 8 + 10 5 = 6 ∴ M . D = ∑ | x i − ¯ x | n = | 2 − 6 | + | 4 − 6 | + | 6 − 6 | + | 8 − 6 | + | 10 − 6 | 5 = 4 + 2 + 0 + 2 + 4 5 = 12 5 = 2.4

The mean deviation of 2, 4, 6, 8, 10 about its mean is

Question

The mean deviation of 2, 4, 6, 8, 10 about its mean is

Options:

A . 4.2

B . 2.4

C . 3.4

D . 4.3

Answer: Option B
:
B

M e a n (¯ x) = \frac{\sum x_{i}}{n} = \frac{2 + 4 + 6 + 8 + 10}{5} = 6 ∴ M . D = \frac{\sum | x_{i} - ¯ x |}{n} = \frac{| 2 - 6 | + | 4 - 6 | + | 6 - 6 | + | 8 - 6 | + | 10 - 6 |}{5} = \frac{4 + 2 + 0 + 2 + 4}{5} = \frac{12}{5} = 2.4

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