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Given that the mean of five number is 27. If one number is excluded, the mean gets reduced by 2 .determine the excluded number?
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Given that the mean of five number is 27. If one number is excluded, t...
Understanding the Problem
To determine the excluded number when the mean of five numbers is given, we can follow these steps:
Step 1: Calculate the Total of the Five Numbers
- The mean of five numbers is 27.
- Mean is calculated as: Total Sum of Numbers / Number of Numbers.
- Therefore, Total Sum = Mean x Number of Numbers.
- Total Sum = 27 x 5 = 135.
Step 2: Determine the New Mean after Exclusion
- When one number is excluded, the mean reduces by 2.
- New Mean = 27 - 2 = 25.
- The remaining numbers now total to 4, so we recalculate the total sum after exclusion.
- Total Sum after exclusion = New Mean x Number of Remaining Numbers = 25 x 4 = 100.
Step 3: Find the Excluded Number
- The excluded number can be found by subtracting the new total from the original total.
- Excluded Number = Original Total - New Total = 135 - 100 = 35.
Conclusion
- The excluded number is 35.
This systematic approach allows us to break down the problem and find the excluded number efficiently.
To determine the excluded number when the mean of five numbers is given, we can follow these steps:
Step 1: Calculate the Total of the Five Numbers
- The mean of five numbers is 27.
- Mean is calculated as: Total Sum of Numbers / Number of Numbers.
- Therefore, Total Sum = Mean x Number of Numbers.
- Total Sum = 27 x 5 = 135.
Step 2: Determine the New Mean after Exclusion
- When one number is excluded, the mean reduces by 2.
- New Mean = 27 - 2 = 25.
- The remaining numbers now total to 4, so we recalculate the total sum after exclusion.
- Total Sum after exclusion = New Mean x Number of Remaining Numbers = 25 x 4 = 100.
Step 3: Find the Excluded Number
- The excluded number can be found by subtracting the new total from the original total.
- Excluded Number = Original Total - New Total = 135 - 100 = 35.
Conclusion
- The excluded number is 35.
This systematic approach allows us to break down the problem and find the excluded number efficiently.
Community Answer
Given that the mean of five number is 27. If one number is excluded, t...
35
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Given that the mean of five number is 27. If one number is excluded, the mean gets reduced by 2 .determine the excluded number?
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Given that the mean of five number is 27. If one number is excluded, the mean gets reduced by 2 .determine the excluded number? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Given that the mean of five number is 27. If one number is excluded, the mean gets reduced by 2 .determine the excluded number? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Given that the mean of five number is 27. If one number is excluded, the mean gets reduced by 2 .determine the excluded number?.
Given that the mean of five number is 27. If one number is excluded, the mean gets reduced by 2 .determine the excluded number? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Given that the mean of five number is 27. If one number is excluded, the mean gets reduced by 2 .determine the excluded number? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Given that the mean of five number is 27. If one number is excluded, the mean gets reduced by 2 .determine the excluded number?.
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