SSC CGL Tier 2 28th January 2022 Statistics

Instructions

For the following questions answer them individually

Question 11

The prices (in ₹) of vegetables (per 5 kg) in the years 2019 and 2020 are as follows:
2019: 60 (Potato); 70 (Onion); 40 (Tomato); 30 (Chilli)
2020: 70 (Potato); 60 (Onion); 48 (Tomato); 27 (Chilli)
By the simple aggregative method, the net price changes in percentage are:

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Question 12

If the first, second, and third quartiles of the distribution are 24. 42. and 72, respectively, the quartile deviation equals to:

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Question 13

A study based on complete enumeration is known as:

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Question 14

Let X be a discrete random variable with pmf $$\left(x\right) = \frac{\left(x - 3\right)^{2}}{5}$$, x = 3,4,5 . The variance of X is:

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Question 15

If the regression line of Y on X and that of X on Y are perpendicular to each other, then the value of correlation coefficient r(X,Y) is given by:

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Question 16

If, for two independent events A and B, P(A) = 0.8 and P(B) = 0.6, then the probability of their simultaneous occurrence is:

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Question 17

The individual probabilities of the occurrence of two events A and B are known. The probability of occurrence of both the events together will be:

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Question 18

The mode of a distribution is 4 and its standard deviation and coefficient of variation are given by 9 and 4.4, respectively. Find the value of Pearson's coefficient of skewness.

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Question 19

The coefficient of quartile deviation of the data set 3, 5 7, 8, 12, 13, 14, 18, 21, is:

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Question 20

Based on the given data, what is the correlation coefficient between the variables X and Y?

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