The average of 7 numbers is 35 if each number is increased by 8

Answers 1

Given : The average of 7 numbers is calculated to be 35. Each number is increased by 8,

To find : The mean of new numbers.

Solution :

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the mean of new numbers)

Mean (or, average) of initial 7 numbers = 35

So,

Sum of initial 7 numbers :

= Mean of initial 7 numbers × 7

= 35 × 7

= 245

Now, each of the 7 numbers is increased by 8

So,

For 1 number the increase amount is = 8

For 7 numbers the increase amount is = 8 × 7 = 56

Total increase amount = 56

Sum of 7 new numbers :

= Sum of initial 7 numbers + Total increase amount

= 245 + 56

= 301

So, mean of 7 new numbers :

= Sum of 7 new numbers ÷ 7

= 301 ÷ 7

= 43

(This will be considered as the final result.)

Used formula :

Mean of n terms = Sum of n terms ÷ n

Sum of n terms = Mean of n terms × n

Hence, the mean of new numbers is 43

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