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Arithmetic mean of 12 observations is 40. The smallest and the largest observations are 20 and 60 respectively. If we ignore the smallest and the largest observations then the arithmetic mean of the remaining observations _______.
  • a)
    will increase
  • b)
    will decrease
  • c)
    will not change
  • d)
    cannot be obtained due to insufficient data
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Arithmetic mean of 12 observations is 40. The smallest and the largest...
Given:
Arithmetic mean of 12 observations = 40
The smallest and the largest observations are 20 and 60 respectively.
Formula Used:
Arithmetic mean = (Sum of observations)/Number of observations
Calculation:
Arithmetic mean of 12 observations = 40
Thus, sum of 12 observations = 40 × 12 = 480
After removing 20 and 60 from the series, then sum of remaining 10 observations = 480 - 20 - 60 = 400
Thus, Arithmetic mean = (Sum of observations)/Number of observations
Arithmetic mean = 400/10 = 40
∴ The arithmetic mean of the remaining observations will not change.
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Arithmetic mean of 12 observations is 40. The smallest and the largest observations are 20 and 60 respectively. If we ignore the smallest and the largest observations then the arithmetic mean of the remaining observations _______.a)will increaseb)will decreasec)will not changed)cannot be obtained due to insufficient dataCorrect answer is option 'C'. Can you explain this answer?
Question Description
Arithmetic mean of 12 observations is 40. The smallest and the largest observations are 20 and 60 respectively. If we ignore the smallest and the largest observations then the arithmetic mean of the remaining observations _______.a)will increaseb)will decreasec)will not changed)cannot be obtained due to insufficient dataCorrect answer is option 'C'. Can you explain this answer? for UGC NET 2024 is part of UGC NET preparation. The Question and answers have been prepared according to the UGC NET exam syllabus. Information about Arithmetic mean of 12 observations is 40. The smallest and the largest observations are 20 and 60 respectively. If we ignore the smallest and the largest observations then the arithmetic mean of the remaining observations _______.a)will increaseb)will decreasec)will not changed)cannot be obtained due to insufficient dataCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for UGC NET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Arithmetic mean of 12 observations is 40. The smallest and the largest observations are 20 and 60 respectively. If we ignore the smallest and the largest observations then the arithmetic mean of the remaining observations _______.a)will increaseb)will decreasec)will not changed)cannot be obtained due to insufficient dataCorrect answer is option 'C'. Can you explain this answer?.
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