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:
32
When each observation is multiplied by a constant, the variance is multiplied by the square of that constant. So, if each observation is multiplied by 2, the variance will be multiplied by 4. The constant 3 added does not affect the variance. Hence, the variance of the new data set is 32.
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
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?
What does the third moment measure?
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
Which of the following is the relative measure of dispersion?
