Question

Average of 11 numbers is 6, if each number is multiplied by 7 then the average of new set number is

Answer 1

Answer:

Average of new set of numbers = 42

Step-by-step explanation:

$\text{Let }x_1,x_2,x_3,x_4.......x_{11}\text{ be 11 numbers.}\\\\\text{Now, Average = }\frac{x_1+x_2+x_3+....+x_{11}}{11}=6\\\\\implies x_1+x_2+x_3+......x_{11}=66\\\\\text{If each number is multiplied by 7 then the average is = }\\\\\frac{7\cdot x_1+7\cdot x_2+....7\cdot x_{11}}{11}\\\\\implies \frac{7\cdot (x_1+x_2+x_3+....+x_{11})}{11}\\\\\implies\frac{7\times 66}{11}=42$