Calculating Batsman's New Average Score
The problem asks for the new average score of a batsman after excluding his highest score.
Initial Average Score Calculation
The batsman's average score across 20 innings is 42.
- Number of innings = 20
- Average score = 42
The total score of the batsman is calculated as:
Total Score = Average Score $\times$ Number of innings
Total Score = $42 \times 20 = 840$ runs
Adjusting for Highest Score Exclusion
The highest score of 120 runs is removed.
- Highest score = 120 runs
- New total score = Total Score - Highest score
- New total score = $840 - 120 = 720$ runs
When the highest score is excluded, the number of innings considered also decreases by one.
- New number of innings = 20 - 1 = 19
Calculating the New Average Score
The new average is calculated using the adjusted total score and the new number of innings.
New Average Score = $\frac{\text{New total score}}{\text{New number of innings}}$
New Average Score = $\frac{720}{19}$
New Average Score $\approx 37.8947$
Rounding to two decimal places, the new average score is 37.89.
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Important Questions from Average
The average height of 20 students of class 8 is 152 cm and the average height of 15 students of class 9 is 168 cm. What is the average height (to the nearest cm) of the students of both classes?
The average of 4, 6, 8, 12 and x is 7 and the average of x, 9, 13, 15 and y is 9. What is the value of 2x - 3y?
The average weight of 20 girls in a school was 52 kg. Two new students of weight 54 kg and 50 kg were admitted. The ratio of this new average to the old one is:
If the average of two numbers is 13 and the square root of their product is 12, then the difference between the numbers is:
If the average of 5 consecutive odd integers in increasing order is 11 , then the average of the last 3 of them is:
