SSC CGL Tier-2 10th August 2022 Statistics

Instructions

For the following questions answer them individually

Question 21

If $$r_{p}$$ be partial correlation compound on sample $$r_{AB.c}$$ compound from sample of size n, the test statistic for significance testing is

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Question 22

For the following frequency distribution

the value of mode is:

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Question 23

If the mean and variance of a binomial distribution are 5 and 4, respectively, then the value of n is:

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Question 24

For an experiment we have the following data set: n = 4, $$\sum_{}^{}X = a, \sum_{}^{}Y = 10, \sum_{}^{}XY = 21,\sum_{}^{}X^{2} = 30, \sum_{}^{}Y^{2} = 30$$ the correlation coefficient is -0.8 then the value of a is:

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Question 25

The grouped data for the observation are as follows.

The population skewness:

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Question 26

If each observation in a data set for number of employees in different divisions is doubled then the coefficient of quartile deviation:

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Question 27

If the first, second, and third moment about the origin are 2, 8, and 18 respectively, then third moment about mean is

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Question 28

For the variables X and Y, we collect 4 observations with $$\sum_{}^{}X = 10, \sum_{}^{}Y = 14, \sum_{}^{}X^{2} = 30, \sum_{}^{}Y^{2} = 54, \sum_{}^{}XY = 31$$ The regression line y on x is

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Question 29

The median of the following observations 10, 11, 9, 12, 10,10, 12, 10, 9,11 is:

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Question 30

For the two variables X and Y, the following observations are tabulated.


The spearman's correlation coefficient is:

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