Question

19 is the average of 6 Numbers what would be new average if those average are multiplied by 5? Anyone with steps? Thank You

Answer 1

If all numbers are multiplied by 5

Average will be 5 times



Hence, Average = 5 × 19
Average = 80



Proof :
$\mathbf{average \: = \frac{sum \: of \: quantities}{number \: of \: quantities} }$


Hence,


19 = ( sum of 6 numbers ) / 6


19 × 6 = sum of 6 numbers

116 = sum of 6 numbers




All numbers are multiplied by 5


New average = [ 5( 116 )] / 6

=> new average = 5( 19 )

=> new average = 80