Question

the average of 8 numbers is 12.if each number is increased by 2,find the average of the new set of numbers ?solve it​

Answer 1

Given :-

The average of 8 numbers is 12.if each number is increased by 2

To Find :-

Average of new set

Solution :-

We know that

Average = Sum of observation/Total observation

8 × 12 = Sum of observation

96 = Sum of observation

Now

Every number increased by 2. Therefore, Increase in Sum of observation = 96 + 16 = 112

New Average = New Sum of observation/8

New Average = 112/8

New Average = 14

Answer 2

Answer:

The average of the new set of numbers = 14

Step-by-step explanation:

Given:

• The average of 8 numbers is 12.
• If each number is increased by 2.

To find:

• The average of the new set of numbers.

Solution:

First we will assume the sum of all the 8 numbers as x. Then we are provided with total numbers i.e, 8 and thier average. So, by using it we will find the sum of all the 8 numbers.

Let the sum of all the 8 numbers be x.

• x/8 = 12
• x = 12 × 8
• x = 96

If each number is increased by 2, we will add 2 to each number i.e, we will multipy the whole sum by 2.

• = 96 × 2
• = 192

Finally,

• New average = 192/8
• New average = 48/2
• New average = 14

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