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The average of 20 observations is 75. It one observation 79,is replaced by another observation then the average of observations becomes 75.9 . Find the value of new observation?
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The average of 20 observations is 75. It one observation 79,is replace...
Given Information
- The average of 20 observations = 75
- One observation (79) is replaced by a new observation.
- The new average becomes 75.9.
Total Sum Calculation
- Original total sum of observations:
- Average = Total Sum / Number of Observations
- Total Sum = Average * Number of Observations
- Total Sum = 75 * 20 = 1500
Sum After Replacement
- New average with the new observation:
- New Average = New Total Sum / 20
- New Total Sum = 75.9 * 20 = 1518
Change in Total Sum
- Difference due to replacement:
- Change in Total Sum = New Total Sum - Original Total Sum
- Change = 1518 - 1500 = 18
Finding the New Observation
- Calculating the new observation:
- Since 79 is replaced, the total increase due to the new observation must account for the difference.
- New Observation = 79 + Change
- New Observation = 79 + 18 = 97
Conclusion
- The value of the new observation is 97.
This systematic approach ensures that the calculations are clear and understandable, leading to the solution efficiently.
- The average of 20 observations = 75
- One observation (79) is replaced by a new observation.
- The new average becomes 75.9.
Total Sum Calculation
- Original total sum of observations:
- Average = Total Sum / Number of Observations
- Total Sum = Average * Number of Observations
- Total Sum = 75 * 20 = 1500
Sum After Replacement
- New average with the new observation:
- New Average = New Total Sum / 20
- New Total Sum = 75.9 * 20 = 1518
Change in Total Sum
- Difference due to replacement:
- Change in Total Sum = New Total Sum - Original Total Sum
- Change = 1518 - 1500 = 18
Finding the New Observation
- Calculating the new observation:
- Since 79 is replaced, the total increase due to the new observation must account for the difference.
- New Observation = 79 + Change
- New Observation = 79 + 18 = 97
Conclusion
- The value of the new observation is 97.
This systematic approach ensures that the calculations are clear and understandable, leading to the solution efficiently.
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The average of 20 observations is 75. It one observation 79,is replaced by another observation then the average of observations becomes 75.9 . Find the value of new observation?
Question Description
The average of 20 observations is 75. It one observation 79,is replaced by another observation then the average of observations becomes 75.9 . Find the value of new observation? 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 of 20 observations is 75. It one observation 79,is replaced by another observation then the average of observations becomes 75.9 . Find the value of new observation? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average of 20 observations is 75. It one observation 79,is replaced by another observation then the average of observations becomes 75.9 . Find the value of new observation?.
The average of 20 observations is 75. It one observation 79,is replaced by another observation then the average of observations becomes 75.9 . Find the value of new observation? 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 of 20 observations is 75. It one observation 79,is replaced by another observation then the average of observations becomes 75.9 . Find the value of new observation? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average of 20 observations is 75. It one observation 79,is replaced by another observation then the average of observations becomes 75.9 . Find the value of new observation?.
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