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For a moderately non-symmetrical distribution, Probable error of standard deviation =Standard deviation/3
- a)True
- b)False
- c)Both
- d)None
Correct answer is option 'B'. Can you explain this answer?
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For a moderately non-symmetrical distribution, Probable error of stand...
Probable error of standard deviation
The probable error of the standard deviation is a measure of the precision of the sample standard deviation as an estimate of the population standard deviation.
Formula: Probable error of standard deviation = Standard deviation / 3
Moderately non-symmetrical distribution
A moderately non-symmetrical distribution is a distribution that is not perfectly symmetrical, but is not extremely skewed either. It is a distribution that has some degree of skewness, but not to the extent that it significantly affects the interpretation of the data.
Answer
False. The probable error of the standard deviation for a moderately non-symmetrical distribution is not necessarily equal to the standard deviation divided by 3. The value of the probable error depends on the shape of the distribution and the sample size. The formula of the probable error of the standard deviation is only valid for a normal distribution or a sufficiently large sample size for other distributions.
Therefore, the correct answer is option B - False.
The probable error of the standard deviation is a measure of the precision of the sample standard deviation as an estimate of the population standard deviation.
Formula: Probable error of standard deviation = Standard deviation / 3
Moderately non-symmetrical distribution
A moderately non-symmetrical distribution is a distribution that is not perfectly symmetrical, but is not extremely skewed either. It is a distribution that has some degree of skewness, but not to the extent that it significantly affects the interpretation of the data.
Answer
False. The probable error of the standard deviation for a moderately non-symmetrical distribution is not necessarily equal to the standard deviation divided by 3. The value of the probable error depends on the shape of the distribution and the sample size. The formula of the probable error of the standard deviation is only valid for a normal distribution or a sufficiently large sample size for other distributions.
Therefore, the correct answer is option B - False.
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For a moderately non-symmetrical distribution, Probable error of standard deviation =Standard deviation/3a)Trueb)Falsec)Bothd)NoneCorrect answer is option 'B'. Can you explain this answer?
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