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If the points of inflexion of a normal curve are 40 and 60 respectively, then its mean deviation is
  • a)
    50
  • b)
    45
  • c)
    40
  • d)
    60
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
If the points of inflexion of a normal curve are 40 and 60 respectivel...
Given : If the points of inflexion of a normal curve are 40 and 60 respectively.
We know that,
Points of inflexion of a normal curve  = Mean  ±  Standard Deviation
 
Therefore, The mean is 50 and the standard deviation is 10.
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Most Upvoted Answer
If the points of inflexion of a normal curve are 40 and 60 respectivel...
The mean deviation of a normal curve is the average distance of each data point from the mean. In this case, the points of inflexion of the normal curve are given as 40 and 60.

Let's assume that the mean of the normal curve is μ.

To find the mean deviation, we need to calculate the average distance of each data point from the mean.

- Calculate the Mean of the Normal Curve:
- The mean of the normal curve can be found by taking the average of the inflexion points:
- μ = (40 + 60) / 2 = 100 / 2 = 50

- Calculate the Deviation of each Data Point from the Mean:
- The deviation of each data point from the mean can be calculated by subtracting the mean from each data point.
- Deviation of the first data point (40) = 40 - 50 = -10
- Deviation of the second data point (60) = 60 - 50 = 10

- Calculate the Absolute Value of Deviations:
- To find the distance of each data point from the mean, we take the absolute value of the deviations calculated in the previous step.
- Absolute deviation of the first data point = |-10| = 10
- Absolute deviation of the second data point = |10| = 10

- Calculate the Mean Deviation:
- The mean deviation is the average of the absolute deviations.
- Mean deviation = (10 + 10) / 2 = 20 / 2 = 10

Based on the above calculations, the mean deviation of the normal curve is 10, not 50. Therefore, the correct answer should be option 'A' (50) is incorrect.
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If the points of inflexion of a normal curve are 40 and 60 respectively, then its mean deviation isa)50b)45c)40d)60Correct answer is option 'A'. Can you explain this answer?
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If the points of inflexion of a normal curve are 40 and 60 respectively, then its mean deviation isa)50b)45c)40d)60Correct answer is option 'A'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If the points of inflexion of a normal curve are 40 and 60 respectively, then its mean deviation isa)50b)45c)40d)60Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the points of inflexion of a normal curve are 40 and 60 respectively, then its mean deviation isa)50b)45c)40d)60Correct answer is option 'A'. Can you explain this answer?.
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