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The mean of 50 observations was 36. It was found later that an observation 48 was wrongly taken as 23. The corrected new mean is
- a)35.2
- b)34.1
- c)36.5
- d)39.1
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
The mean of 50 observations was 36. It was found later that an observa...
Correct sum = (36 × 50 + 48 – 23) = 1825.
Correct mean = 1825/50 = 36.5
Correct mean = 1825/50 = 36.5
Most Upvoted Answer
The mean of 50 observations was 36. It was found later that an observa...
Given:
- Mean of 50 observations = 36
- One observation was wrongly taken as 23 instead of 48
To find:
Corrected new mean
Solution:
Step 1: Finding the total sum of the 50 observations
The mean of 50 observations is given by the formula:
Mean = (Sum of all observations) / (Number of observations)
Rearranging the formula, we can find the sum of all observations:
Sum of all observations = Mean * Number of observations
Given that the mean is 36 and the number of observations is 50:
Sum of all observations = 36 * 50 = 1800
Step 2: Finding the corrected sum of all observations
We know that one observation was wrongly taken as 23 instead of 48. This means that the sum of all observations would have been less by 48 - 23 = 25.
Therefore, the corrected sum of all observations = Sum of all observations - 25 = 1800 - 25 = 1775
Step 3: Finding the corrected new mean
The corrected new mean can be calculated using the formula:
Corrected mean = Corrected sum of all observations / Number of observations
Given that the corrected sum of all observations is 1775 and the number of observations is still 50:
Corrected mean = 1775 / 50 = 35.5
Conclusion:
Therefore, the corrected new mean is 35.5, which is option C.
- Mean of 50 observations = 36
- One observation was wrongly taken as 23 instead of 48
To find:
Corrected new mean
Solution:
Step 1: Finding the total sum of the 50 observations
The mean of 50 observations is given by the formula:
Mean = (Sum of all observations) / (Number of observations)
Rearranging the formula, we can find the sum of all observations:
Sum of all observations = Mean * Number of observations
Given that the mean is 36 and the number of observations is 50:
Sum of all observations = 36 * 50 = 1800
Step 2: Finding the corrected sum of all observations
We know that one observation was wrongly taken as 23 instead of 48. This means that the sum of all observations would have been less by 48 - 23 = 25.
Therefore, the corrected sum of all observations = Sum of all observations - 25 = 1800 - 25 = 1775
Step 3: Finding the corrected new mean
The corrected new mean can be calculated using the formula:
Corrected mean = Corrected sum of all observations / Number of observations
Given that the corrected sum of all observations is 1775 and the number of observations is still 50:
Corrected mean = 1775 / 50 = 35.5
Conclusion:
Therefore, the corrected new mean is 35.5, which is option C.
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The mean of 50 observations was 36. It was found later that an observation 48 was wrongly taken as 23. The corrected new mean isa)35.2b)34.1c)36.5d)39.1Correct answer is option 'C'. Can you explain this answer?
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The mean of 50 observations was 36. It was found later that an observation 48 was wrongly taken as 23. The corrected new mean isa)35.2b)34.1c)36.5d)39.1Correct answer is option 'C'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about The mean of 50 observations was 36. It was found later that an observation 48 was wrongly taken as 23. The corrected new mean isa)35.2b)34.1c)36.5d)39.1Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The mean of 50 observations was 36. It was found later that an observation 48 was wrongly taken as 23. The corrected new mean isa)35.2b)34.1c)36.5d)39.1Correct answer is option 'C'. Can you explain this answer?.
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