TS ICET 20th August 2021 Shift-1

The Arithmetic Mean of the following distribution is

$$x_{i}$$ : 1 2 3 ....21

$$f_{i} : 1^{2} 2^{2} 3^{2} .....21^{2}$$

The median of the observations 7, 8, 7, 9, 7, 14, 15, 6, 8, 14, 9, 17, 15, 16 is

If the Mean and Median of a set of observed data are 36 and 44 respectively, the Mode of that data is

The standard deviation of the data is 73, 74, 75, .... 85

If the standard deviation of the data : 7, 10, 13, 16, ... , 121 is $$\sigma$$ then the standard deviation of the data 50, 71, 92, .... 848 is

From the data of 8 comparable observations, the sum of the squares of the deviations in their ranks is found to be 31.5. Then coefficient of rank correlation is:

A pair of unbiased dice is thrown. The probability that there is either there appear same number on both or a sum of the numbers on their faces less than six, is

If two unbiased dice are thrown simultaneously, then, the probability of getting a total of 8 with at least one prime number

A box contains 5 red and 3 green and 4 black balls. Two balls are drawn in succession without replacement. Then, the probability that they are green and black in color is

If A and B are two events such that $$P(A) = \frac{3}{8}; P(B) = \frac{1}{3}$$ and $$P(A \cap B) = \frac{1}{4}$$
Then $$P(\overline{A} \cap \overline{B}) =$$