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 \(\frac{1}{n}\sum (x_i - 4)^2 = \frac{(2-4)^2 + (3-4)^2 + \dots + (10-4)^2}{5} = \frac{66}{5} = 13.2\).
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:
Let X and Y be two independent Poisson variates with rate 5 and 10, respectively, then the E(XY = 2) is equal to:
On fitting of a trend line Y = a + bt on a time series (with year as a unit of time), the monthly increment/decrement is given by:
If M: Mean, Md: Median, Mo: Mode, Q1: First Quartile and Q3: Third Quartile, then which of the following is an absolute measure of skewness?
For a two-way classification with p treatments, q blocks and r observations per cell, the degrees of freedom for error and total, respectively, are:
Let X and Y be two independent Poisson variates with rate 5 and 10, respectively, then the distribution of Z = X + Y is:
Which of the following is NOT true about ungrouped frequency distribution?
The relative frequency of a class is:
Let \( X \) follow Poisson distribution with mean \( \lambda \). If \[P(X = 2) = \frac{1}{2} P(X = 3),\] then the value of \( \lambda \) is:
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:
Let X and Y be two independent Poisson variates with rate 5 and 10, respectively, then the E(XY = 2) is equal to:
On fitting of a trend line Y = a + bt on a time series (with year as a unit of time), the monthly increment/decrement is given by:
If M: Mean, Md: Median, Mo: Mode, Q1: First Quartile and Q3: Third Quartile, then which of the following is an absolute measure of skewness?