Correct Answer - Option 1 : 130
Given :
The average score of a cricketer for 20 matches is 52 runs. His highest score is more than its lowest score by 120 runs.
If highest and lowest score are excluded than average will be 50.
Concept used :
Average = Sum of all observations/Number of observations
calculations :
Total score of 20 matches = 20 × 52
⇒ 1040 runs
Total score of 18 matches = 18 × 50
⇒ 900 runs
Highest score + lowest score = 1040 - 900
⇒ 140
Lowest score = 140 - highest score
According to the question
Highest score - lowest score = 120
Highest score - (140 - highest score) = 120
⇒ 2(Highest score) = 260
⇒ Highest score = 260/2
⇒ 130 runs
∴ His highest score will be 130 runs.