Question

average of 8 numbers is 21. if all the numbers are multiplied by 8 what is the average of the product of the number?​

Answer 1

Answer:

Step-by-step explanation:

168

Average of 8 numbers is 21. If each number is multiplied by 8 then the average will also get eight times. Therefore average is 21×8=168.

Answer 2

Answer:

Average of 8 numbers is 21.

If each number is multiplied by 8 then the average will also get eight times.

Therefore average is 21×8=168.

Explination:

Let eight numbers be x1 ,x2 ,x3, …….. x8.

To take average we add all numbers an divide by the total numbers we have

So avg is

(x1 + x2+x3+………..x8)÷8=21

Now all numbers are multiplied by eight

So eight we will be taking as common

Therefore average is

8 (x1+ x2+ x3………..x8)÷8

Now we know (x1+ x2+ x3………x8)÷8= 21

So it becomes

8×21

Which is equal to 168.

It should be 21 * 8. We are multiplying left hand side by 8, so the right hand side should also be multiplied by 8.

RHS = 21 * 8 = 168

Lets say sum of all numbers is represented by x

Represented as x/8 = 21

Sum of the numbers should be 21 * 8 = 168

After multiplying each number with 8 and consolidating, 8x = 8(168)

Therefore, average of the numbers is now 8(168)/8 = 168