For the set of numbers 2, 3, 7, 8, and 10, the second-order moment about the origin 4 is:
13.2
Second-order moment about 4 is \(\frac{1}{n}\sum (x_i - 4)^2 = \frac{(2-4)^2 + (3-4)^2 + \dots + (10-4)^2}{5} = \frac{66}{5} = 13.2\).
Calculate the median using the following data.
Lower class boundary of the median class = 40
Total frequency = 120
Frequency of the median class = 35
Less than cumulative frequency of the post median class = 37
Class width = 20
The ______ is an unbiased estimator of the population mean.
If xi = i / 5 + 2, where i = 1, 2,..., 5, then the mean of x1, x2, ..., x5 is:
How many employees get salaries less than Rs 30,000?
The following data shows salaries of all the employees of a company:
| Salary (in Rs.) / वेतन (रुपये में) | 0 - 10,000 | 10,001 - 20,000 | 20,001 - 30,000 | 30,001 - 40,000 | 40,001 - 50,000 |
|---|---|---|---|---|---|
| Number of Employees / कर्मचारियों की संख्या | 235 | 105 | 50 | 40 | 20 |
Calculate the standard deviation if the mean of a certain set of observations is 20 and the mean of the squares of the same observations is 500.
Calculate the coefficient of range for the following set of data: 3, 6, 6, 8, 9 and 12.
If the mean of a certain set of data is 16 and variance is 4, then find the coefficient of variance.
If a set of points represent probability density, then the third central moment is the ___________.
What is the mean of a data if its Pearson's coefficient of skewness is 0.25, standard deviation is 6 and mode is 18?
Coefficient of Kurtosis β2 = ____________, where μ2 and μ4 are the second and fourth moments about mean.
Calculate the median using the following data.
Lower class boundary of the median class = 40
Total frequency = 120
Frequency of the median class = 35
Less than cumulative frequency of the post median class = 37
Class width = 20
The ______ is an unbiased estimator of the population mean.
If xi = i / 5 + 2, where i = 1, 2,..., 5, then the mean of x1, x2, ..., x5 is:
How many employees get salaries less than Rs 30,000?
The following data shows salaries of all the employees of a company:
| Salary (in Rs.) / वेतन (रुपये में) | 0 - 10,000 | 10,001 - 20,000 | 20,001 - 30,000 | 30,001 - 40,000 | 40,001 - 50,000 |
|---|---|---|---|---|---|
| Number of Employees / कर्मचारियों की संख्या | 235 | 105 | 50 | 40 | 20 |