Solveeit Logo

Question

Question: The mean deviation of the numbers 3, 4, 5, 6, 7 is...

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

A

0

B

1.2

C

5

D

25

Answer

1.2

Explanation

Solution

A.M. = 3+4+5+6+75=5\frac{3 + 4 + 5 + 6 + 7}{5} = 5

∴ Mean deviation=Σxixˉn= \frac{\Sigma|x_{i} - \bar{x}|}{n}

=35+45+55+65+755= \frac{|3 - 5| + |4 - 5| + |5 - 5| + |6 - 5| + |7 - 5|}{5}

=2+1+0+1+25=65=1.2= \frac{2 + 1 + 0 + 1 + 2}{5} = \frac{6}{5} = 1.2