If average of x numbers is y and average of z numbers is w, combined average is MCQ with Answer and Explanation

If average of x numbers is y and average of z numbers is w, combined average is

A. x y + z w

B. (x + z) y / (x + z)

C. (y + w)/2

D. (x y + z w)/(x+z)

Answer: Option D

Weighted average formula: (x*y + z*w) / (x + z).

This question belongs to: Maths Average

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Question #1 Report Error

The average of 6 numbers is 22. If one number is 10, find the average of the remaining 5 numbers.

A. 23.6

B. 22.8

C. 24.4

D. 25

Correct Answer: Option C

Explanation:
Sum of 6 = 6×22=132. Sum of 5 =132-10=122. Average =122/5=24.4.

This question belongs to: Maths Average

Question #2 Report Error

The average of 9 numbers is 30. If each number is increased by 2, what is the new average?

A. 32

B. 34

C. 30

D. 28

Correct Answer: Option A

Explanation:
New average =30+2=32.

This question belongs to: Maths Average

Question #3 Report Error

Average of 10 numbers 2530. If average of 6 is 2525, average of remaining 4?

A. 2537.5

B. 2535

C. 2536

D. 2540

Correct Answer: Option A

Explanation:
Sum10=25300. Sum6=15150. Remaining=10150. Average=2537.5.

This question belongs to: Maths Average