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For the following questions answer them individually
The arithmetic mean of 10 observations is 48. If two more observations 65 and 75 are added to the data. then the arithmetic mean of the entire data of 12 observations is:
The median of first 2n natural numbers is
Fora data the medianis 53.5 and the meanis 53.8. Then mode of the data is
The standard deviation of first 25 natural numbers is
The variance of first n natural numbers is
If the sum of squares of the deviations of ranks of two players in n sports is $$\frac{2n(n + 1)}{3}$$, then the coefficient of rank correlation is
If A and B are two events in a random experiment with the probabilities $$P(A) = \frac{3}{8}, P(B) = \frac{1}{3}$$ and $$P(A \cap B) = \frac{1}{4}$$, then $$P(\overline{A} \cap \overline{B}) =$$ Here $$\overline{A}$$ is the complementary event of A
If a numberis selected at randomout of the first 120 natural numbers, then the probability that it is a composite number is
If three vertices are selected at random fromthe vertices of an octagon, then the probability that no two of their three vertices are adjacent to each other is
If four boys and five girls sit in a row at random, then the probability that all boys sit together is
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