# 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 these two innings are excl

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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 these two innings are excluded, the average of the remaining 18 matches is 50 runs. The highest score of the player is:
1. 130
2. 125
3. 120
4. 140

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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.