The average score of a cricketer in his first 7 innings is 28 runs. His average score in the next 3 innings is 32 runs. Determine the score he should get in his 11^thinning so that his overall average score becomes 33 runs.

Correct option is D

Given:

Average score of a cricketer in his first 7 innings = 28

Average score in next 3 innings = 32

Formula Used:

Average = $$\frac{Sum\ of \ observations}{Number\ of \ observations}$$​​

Solution:

Total score of cricketer in 7 innings =$$7 \times 28$$​ = 196

Total score of cricketer in 3 innings = $$3 \times 32$$ = 96

For an average of 33 in 11 matches total score will be = $$33 \times 11$$​= 363

Total score in 11^th match will be = 363 - (196+96) = 363-292 = 71