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Which among the following statements is INCORRECT?
- a)Coefficient of correlation can be computed directly from the data without measuring deviation.
- b)Measures of Dispersion are also called averages of the second order.
- c)Standard deviation can be negative.
- d)Mean deviation can never be negative.
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Which among the following statements is INCORRECT?a)Coefficient of cor...
No, standard deviation is always positive or 0. When you square deviations from the mean, they become positive or zero. Their sum is still positive or zero and the quotient after dividing the sum by n – 1 stays positive or zero. This final quantity is the variance.
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Most Upvoted Answer
Which among the following statements is INCORRECT?a)Coefficient of cor...
Incorrect Statement: Standard deviation can be negative.
Explanation:
Standard deviation is a measure of dispersion of a set of data from its mean. It tells us how much the data deviates from the mean. Standard deviation cannot be negative because it is the square root of the sum of the squares of the deviations from the mean, divided by the number of observations.
Mathematically, the formula for calculating standard deviation is:
σ = √ [Σ(xi - x̄)² / N]
where,
σ = standard deviation,
xi = individual observation,
x̄ = mean of the observations,
N = total number of observations.
The numerator in the above formula is always a positive value, since the square of any number is always positive. Hence, the square root of the numerator is also always positive. Therefore, the standard deviation is always a positive value.
Conclusion:
Hence, the statement "Standard deviation can be negative" is incorrect. It is important to have a clear understanding of the concepts of measures of central tendency and measures of dispersion in statistics to avoid confusion and incorrect interpretations of data.
Explanation:
Standard deviation is a measure of dispersion of a set of data from its mean. It tells us how much the data deviates from the mean. Standard deviation cannot be negative because it is the square root of the sum of the squares of the deviations from the mean, divided by the number of observations.
Mathematically, the formula for calculating standard deviation is:
σ = √ [Σ(xi - x̄)² / N]
where,
σ = standard deviation,
xi = individual observation,
x̄ = mean of the observations,
N = total number of observations.
The numerator in the above formula is always a positive value, since the square of any number is always positive. Hence, the square root of the numerator is also always positive. Therefore, the standard deviation is always a positive value.
Conclusion:
Hence, the statement "Standard deviation can be negative" is incorrect. It is important to have a clear understanding of the concepts of measures of central tendency and measures of dispersion in statistics to avoid confusion and incorrect interpretations of data.
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Community Answer
Which among the following statements is INCORRECT?a)Coefficient of cor...
C option is correct.because as we calculate standard deviations we use √€x/n - mean square . and square of no .can not be negative as mean do not contain negative value .
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Which among the following statements is INCORRECT?a)Coefficient of correlation can be computed directly from the data without measuring deviation.b)Measures of Dispersion are also called averages of the second order.c)Standard deviation can be negative.d)Mean deviation can never be negative.Correct answer is option 'C'. Can you explain this answer?
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Which among the following statements is INCORRECT?a)Coefficient of correlation can be computed directly from the data without measuring deviation.b)Measures of Dispersion are also called averages of the second order.c)Standard deviation can be negative.d)Mean deviation can never be negative.Correct answer is option 'C'. 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 Which among the following statements is INCORRECT?a)Coefficient of correlation can be computed directly from the data without measuring deviation.b)Measures of Dispersion are also called averages of the second order.c)Standard deviation can be negative.d)Mean deviation can never be negative.Correct answer is option 'C'. 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 Which among the following statements is INCORRECT?a)Coefficient of correlation can be computed directly from the data without measuring deviation.b)Measures of Dispersion are also called averages of the second order.c)Standard deviation can be negative.d)Mean deviation can never be negative.Correct answer is option 'C'. Can you explain this answer?.
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Which among the following statements is INCORRECT?a)Coefficient of correlation can be computed directly from the data without measuring deviation.b)Measures of Dispersion are also called averages of the second order.c)Standard deviation can be negative.d)Mean deviation can never be negative.Correct answer is option 'C'. Can you explain this answer?, a detailed solution for Which among the following statements is INCORRECT?a)Coefficient of correlation can be computed directly from the data without measuring deviation.b)Measures of Dispersion are also called averages of the second order.c)Standard deviation can be negative.d)Mean deviation can never be negative.Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of Which among the following statements is INCORRECT?a)Coefficient of correlation can be computed directly from the data without measuring deviation.b)Measures of Dispersion are also called averages of the second order.c)Standard deviation can be negative.d)Mean deviation can never be negative.Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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