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If the mean of 25 observations is 27 and each observation is decreased by 7, what will be the new mean?
Verified Answer
If the mean of 25 observations is 27 and each observation is decreased...
Mean = sum of the quantity of observations/ frequency
Hence sum of observations = frequency x mean
The total sum = 25 x 27
= 675
if each observation is decreased by 7, then total decrease = 25 x 7
=175
minus 175 from the first total sum to find the new total sum of the observation = 675 - 175
= 500
Hence the new total = 500
The new mean will be = total / frequency
= 500/25
= 20
new mean is 20
This question is part of UPSC exam. View all Class 10 courses
Most Upvoted Answer
If the mean of 25 observations is 27 and each observation is decreased...
Decreasing each observation by 7
- To find the new mean after decreasing each observation by 7, we need to first understand the effect of this change on the mean.
- When each observation is decreased by 7, the overall total of the observations will decrease by 7 times the number of observations.
- This means that the sum of the observations will decrease by 7 * 25 = 175.
Calculating the new mean
- Given that the mean of the original 25 observations is 27, the sum of the original observations is 27 * 25 = 675.
- After decreasing each observation by 7, the new sum of the observations will be 675 - 175 = 500.
- Since there are still 25 observations, the new mean can be calculated by dividing the new sum by 25.
- Therefore, the new mean will be 500 / 25 = 20.
Conclusion
- After decreasing each observation by 7, the new mean of the 25 observations will be 20.
- This change in the observations resulted in a decrease in the mean, showcasing the impact of altering individual values on the overall average.
- To find the new mean after decreasing each observation by 7, we need to first understand the effect of this change on the mean.
- When each observation is decreased by 7, the overall total of the observations will decrease by 7 times the number of observations.
- This means that the sum of the observations will decrease by 7 * 25 = 175.
Calculating the new mean
- Given that the mean of the original 25 observations is 27, the sum of the original observations is 27 * 25 = 675.
- After decreasing each observation by 7, the new sum of the observations will be 675 - 175 = 500.
- Since there are still 25 observations, the new mean can be calculated by dividing the new sum by 25.
- Therefore, the new mean will be 500 / 25 = 20.
Conclusion
- After decreasing each observation by 7, the new mean of the 25 observations will be 20.
- This change in the observations resulted in a decrease in the mean, showcasing the impact of altering individual values on the overall average.
Community Answer
If the mean of 25 observations is 27 and each observation is decreased...
20..
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If the mean of 25 observations is 27 and each observation is decreased by 7, what will be the new mean?
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If the mean of 25 observations is 27 and each observation is decreased by 7, what will be the new mean? 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 If the mean of 25 observations is 27 and each observation is decreased by 7, what will be the new mean? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the mean of 25 observations is 27 and each observation is decreased by 7, what will be the new mean?.
If the mean of 25 observations is 27 and each observation is decreased by 7, what will be the new mean? 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 If the mean of 25 observations is 27 and each observation is decreased by 7, what will be the new mean? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the mean of 25 observations is 27 and each observation is decreased by 7, what will be the new mean?.
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