SSC CGL Tier 2 28th January 2022 Statistics
For the following questions answer them individually
In Spearman rank correlation coefficient $$ r_{s} = 1-\frac{6\sum d^{2}}{n\left(n^{2}-1\right)}$$, the maximum value of $$\sum d^{2}$$ in case of untied ranks is:
If X is a random variable with PDF $$f\left(x\right) = \frac{x^{2}}{9}; 0 < x < 3$$ the cumulative contribution function of $$Y = X^{5}$$
Calculate the seventh decile of the following data set.
23, 31, 26, 31 , 22, 63, 44, 78, 61 , 64, 35, 54, 57, 35, 73, 55, 50, 31 , 56, 32, 41 , 55, 29
The change in the prices and quantities of each individual commodity are summarised as follows:
The Laspeyres Price Index for the year 2017. using the year 2016 as the base year, is:
The error deviations within the sum of square for error statistic measure variations is:
In the absence of skewness, the coefficient of skewness by Karl Pearson $$\left(S_{k}\right)$$, Bowley's $$\left(S_{q}\right)$$ and by Kelly's $$\left(S_{p}\right)$$ are:
If X and Y are two random variables such that their expectations exist and $$P(X \leq Y) = 1$$, then which of the following opctons is true?
If $$x_{i}\mid f_{i}$$, i = 1,2, ... n is frequency distribution with variance 4, mode 4, and arithmetic mean 2.5, then the mean square deviation from the mode is:
