Question

Solve
The average of 44 numbers is 20. The average of 24 numbers out of the 44 is 22.5.
What is the average of the rest of the numbers?​

Answer 1

Given - The average of 44 numbers is 20. The average of 24 numbers out of the 44 is 22.5

Find - The average of the rest of the numbers.

Solution - Average is calculated by the formula - the sum of all the values divided by total number of values.

So, the average of 44 numbers is 20. The sum of 44 numbers will be - 20*44 - 880.

Now, the average of 24 numbers is 22.5. The sum of 24 numbers will be - 22.5*24 - 540.

Sum of the remaining numbers - 880 - 540 = 340. The count of remaining numbers is - 44 - 24 = 20.

Hence, the average of these 20 numbers - 340/20

Average - 17

Hence, average of the rest of the numbers is 17.

Answer 2

SOLUTION

GIVEN

• The average of 44 numbers is 20

• The average of 24 numbers out of the 44 is 22.5

TO DETERMINE

The average of the rest of the numbers

EVALUATION

Here it is given that the average of 44 numbers is 20

So sum of the 44 numbers

= 44 × 20

= 880

Again the average of 24 numbers out of the 44 is 22.5

So sum of the 24 numbers out of the 44 is

= 24 × 22.5

= 540

Let P be the required average of the rest of the 20 numbers

So sum of the 20 numbers = 20P

So by the given condition

$\sf{20P + 540 = 880}$

$\sf{ \implies \: 20P = 340}$

$\sf{ \implies \: P = 17}$

FINAL ANSWER

Hence the required average of the rest of the numbers = 17

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