Question

If the average of 20 numbers is 6. if every number is multiply by 11 then what is the new average

Answer 1

New Average = 11 × old Average


New Average = 11 × 6

New Average = 66




$\mathbf{explanation}$


$average \: = \frac{sum \: of \: 20 \: number}{20} \\ \\ => 6 \times 20 = sum \: of \: 20 \: \: numbers \\ \\ when \: each \: number \: is \: multiplied \:by \: 11 \\ \\ \\ average \: = \frac{11 \times sum \: of \: 20 \: numbers}{20} \\ \\ = > average \: = \frac{11 \times 6 \times 20}{20}$


New Average = 66