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CDS || Mathematics || Statistics || 02-02-2019

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Question 1

The mean of distribution is 18 and the standard deviation is 4.5. What is the value of the coefficient of variation?

Question 2

The following observations have been arranged in ascending order. If the median of the data is 63, find the value of x.
29, 32, 48, 50, x, x+2, 72, 78, 84, 95

Question 3

Variance of the data 2, 4, 5, 6, 8, 17 is 23.33. Then the variance of 4, 8, 10, 12, 16, 34 will be:

Question 4

One card is randomly drawn from a pack of 52 card. What is the probability that drawn card is of black color?

Question 5

A bag contains 3 red ball, 2 blue ball and 4 yellow ball, all the balls being of the same size. Nandu takes out a ball from the bag without looking into it. What is the probability that he takes out the red ball?

Question 6

The standard deviation of a population is 10, what would be the population variance?

Question 7

The sum and mean of an observation are 256 and 32 respectively. What is the number of observation?

Question 8

A missing plane is reported to have crashed somewhere in a rectangular region of size in the North Atlantic Ocean. The region also covers the Bermuda Triangle (Devil’s Triangle) which has an area approximately . What is the probability that it crashed inside the Devil’s triangular region?

Question 9

One card is drawn from a well-shuffled pack of 52 card. What is the probability that drawn card is a king?

Question 10

The wicket taken by a bowler in 10 cricket matches are as follows:
2, 6, 4, 5, 0, 2, 1, 3, 2, 3
What is the mode of the data?
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