The mean of 12 numbers is 40 if each number is divided by 8 what will be the mean - Maths - Statistics

Question

The mean of 12 numbers is 40 if each number is divided by 8 what
will be the mean of the new number

Ankush Jain · Accepted Answer

Given, mean of 12 numbers = 40 Let the 12 numbers be, x1, x2, x3, , x12 $\frac{x_{1} + x_{2} + x_{3} + + x_{12}}{12} = 40 \Rightarrow x_{1} + x_{2} + x_{3} + + x_{12} = 40 \times 12 = 480 (1)$ Now when each number is divided by 8, then new set of 12 numbers is: $\frac{x_{1}}{8}, \frac{x_{2}}{8}, \frac{x_{3}}{8},, \frac{x_{12}}{8}$ So, new mean = $\frac{\frac{x_{1}}{8} + \frac{x_{2}}{8} + \frac{x_{3}}{8} + + \frac{x_{12}}{8}}{12} = \frac{x_{1} + x_{2} + {+ x}_{12}}{8 \times 12} = \frac{480}{96} [u \sin g (1)]$ Hence, new mean = 5

The mean of 12 numbers is 40. if each number is divided by 8 what will be the mean of the new number