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The average marks scored by 27 boys in an examination is 162. If the one boy is removed. Then the average marks increased by 1. What was the marks scored by removed boy?
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The average marks scored by 27 boys in an examination is 162. If the o...
Understanding the Problem
To find the marks scored by the removed boy, we first need to understand the relationship between the average marks, the number of boys, and the total marks.
Average Marks Before Removal
- The average marks of 27 boys = 162
- Total marks of 27 boys = Average × Number of boys = 162 × 27 = 4374
Average Marks After Removal
- When one boy is removed, the number of boys becomes 26.
- The new average marks = 162 + 1 = 163
- Total marks of 26 boys = New average × Number of boys = 163 × 26 = 4238
Calculating the Marks of the Removed Boy
- Let the marks of the removed boy be X.
- The total marks after removing the boy can be represented as:
- Total marks of 27 boys - Marks of removed boy = Total marks of 26 boys
- 4374 - X = 4238
Solving for X
- Rearranging the equation gives:
- X = 4374 - 4238
- X = 136
Conclusion
The marks scored by the removed boy are 136. This process illustrates how the average can change with the removal of a single data point and how to calculate it effectively.
To find the marks scored by the removed boy, we first need to understand the relationship between the average marks, the number of boys, and the total marks.
Average Marks Before Removal
- The average marks of 27 boys = 162
- Total marks of 27 boys = Average × Number of boys = 162 × 27 = 4374
Average Marks After Removal
- When one boy is removed, the number of boys becomes 26.
- The new average marks = 162 + 1 = 163
- Total marks of 26 boys = New average × Number of boys = 163 × 26 = 4238
Calculating the Marks of the Removed Boy
- Let the marks of the removed boy be X.
- The total marks after removing the boy can be represented as:
- Total marks of 27 boys - Marks of removed boy = Total marks of 26 boys
- 4374 - X = 4238
Solving for X
- Rearranging the equation gives:
- X = 4374 - 4238
- X = 136
Conclusion
The marks scored by the removed boy are 136. This process illustrates how the average can change with the removal of a single data point and how to calculate it effectively.
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The average marks scored by 27 boys in an examination is 162. If the one boy is removed. Then the average marks increased by 1. What was the marks scored by removed boy?
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The average marks scored by 27 boys in an examination is 162. If the one boy is removed. Then the average marks increased by 1. What was the marks scored by removed boy? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The average marks scored by 27 boys in an examination is 162. If the one boy is removed. Then the average marks increased by 1. What was the marks scored by removed boy? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average marks scored by 27 boys in an examination is 162. If the one boy is removed. Then the average marks increased by 1. What was the marks scored by removed boy?.
The average marks scored by 27 boys in an examination is 162. If the one boy is removed. Then the average marks increased by 1. What was the marks scored by removed boy? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The average marks scored by 27 boys in an examination is 162. If the one boy is removed. Then the average marks increased by 1. What was the marks scored by removed boy? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average marks scored by 27 boys in an examination is 162. If the one boy is removed. Then the average marks increased by 1. What was the marks scored by removed boy?.
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