What does the third moment measure?
Skewness
The third moment of a distribution is related to skewness. Skewness measures the asymmetry of the distribution about its mean. A positive skew indicates that the distribution has a long right tail, while a negative skew indicates a long left tail.
Similar Questions
For a group of 50 male workers, the mean and the standard deviation of their daily wages are ₹63 and ₹9, respectively. For a group of 40 female workers, these values are ₹54 and ₹6, respectively. What is the standard deviation of the combined group of these 90 workers?
For the series of the following observations, the coefficient of range leads to which of the following conclusions?
FIRST: 2, 2, 3, 3, 4, 5, 5, 6, 7
SECOND: 2, 3, 4, 6, 8, 9, 10, 14, 16, 18
THIRD: 1, 3, 4, 4, 5, 7, 8, 8, 9, 10, 12, 12In case of a certain distribution, the following results were obtained.
Mean = 45, median = 48 and coefficient of skewness = -0.4. What is the standard deviation of the distribution?The nutritional data about a sample of seven breakfast cereals gives the number of calories per serving as follows. The quartile deviation is equal to:
100, 80, 100, 130, 110, 200, 190
Let 8 be the variance of a data set. If each observation is multiplied by a constant 2 and a constant 3 is added to each observation, then the variance of the new data set is:
Which of the following is the relative measure of dispersion?
If the mean deviation of X from mean is m, then the mean deviation of Y = aX + b is:
Which of the following holds for mean squared deviation (MSD)?
For a set of observations, the mean is 8 and standard deviation is 3, then the coefficient of dispersion is equal to:
Which of the following is NOT true?
Important Questions from Measures of dispersion
For a group of 50 male workers, the mean and the standard deviation of their daily wages are ₹63 and ₹9, respectively. For a group of 40 female workers, these values are ₹54 and ₹6, respectively. What is the standard deviation of the combined group of these 90 workers?
For the series of the following observations, the coefficient of range leads to which of the following conclusions?
FIRST: 2, 2, 3, 3, 4, 5, 5, 6, 7
SECOND: 2, 3, 4, 6, 8, 9, 10, 14, 16, 18
THIRD: 1, 3, 4, 4, 5, 7, 8, 8, 9, 10, 12, 12In case of a certain distribution, the following results were obtained.
Mean = 45, median = 48 and coefficient of skewness = -0.4. What is the standard deviation of the distribution?The nutritional data about a sample of seven breakfast cereals gives the number of calories per serving as follows. The quartile deviation is equal to:
100, 80, 100, 130, 110, 200, 190
Let 8 be the variance of a data set. If each observation is multiplied by a constant 2 and a constant 3 is added to each observation, then the variance of the new data set is:
