List of top Mathematical Ability Questions on Statistics

A set \(A\) contains first 30 natural numbers. If 3 numbers are chosen at random from the set \(A\), the probability that their product is an odd integer is

Find the median of the following classified data.

Median of the data 5, 56, 48, 13, 27, 91, 16, 9, 78 is \(x\). Later the observations 56, 78 are found to be incorrect and they are replaced by 33 and 42 respectively. If the median of the new data is \(y\), then \(x^{3}-y^{3}=\)

Find the median of the following frequency distribution.

If three coins are tossed simultaneously, then what is the probability of getting one Head and two Tails?

Find the median of the following data.

Consider the quadratic equation \(x^{2}+bx+c=0\), where \(b,c \in \{1,2,3,4,5\}\). What is the probability that the equation has real roots?

A set \(S\) contains 12 consecutive integers. The sum of the 6 smallest integers of \(S\) is 321. The mean of the largest six integers of \(S\) is

If the mode of the following classified data is 33.75, then what is the value of \(x\) in the table?

The average of the numbers \(5^2,6^2,7^2,\ldots,15^2\) is

Three sets A, B and C are defined as follows:
\(A=\{x|x\text{ is an even integer}\}\),
\(B=\{x|x\text{ is an integer and multiple of 5}\}\),
\(C=\{x|x\text{ is an integer and multiple of 10}\}\).
Then \(A \cap (B \cup C)=\)

If A and B are two non-empty sets, then \((A\cup B)-(A\cap B)=\)

The mean and standard deviation of a set of values are 30 and 8 respectively. If a constant value 5 is added to each value of the set, then the coefficient of variation of the new set of values is:

From a well shuffled pack of cards (52), what is the probability the card drawn is a diamond, spade or a club?

If two balls are drawn from a bag having 5 red, 4 black and 6 blue balls, then probability of getting both the balls of different colour is:

Two dice of two different colours thrown simultaneously. Then the probability of getting two numbers whose sum is an even number is:

Four groups of students, consisting of 15, 20, 10 and 18 individuals, reported mean weights of 162, 148, 153 and 140 pounds respectively. The mean weight of all the students is:

In a distribution if mean is 4 and coefficient of variation is 75%, then the variance is:

The mean and median of the data a, b and c are 50 and 35 respectively, where a < b < c. If c − a = 55, then b − a = ?

If the probability $P(x) = 0.8$ and $x = 3$, then find the expected value $E(x) = ?$

The standard deviation of 10, 16, 10, 16, 10, 10, 16, 16 is:

The data of marks scored by 11 students in a class are 223, 217, 237, 255, 243, 218, 265, 279, 263, 233, 227. The median is:

When two dice are thrown, the probability of getting a prime number on one die and a composite number on the other die is:

If the mean of a frequency distribution is 100 and the coefficient of variation is 45%, then what is the value of the variance?

The probability that in 10 throws of a fair die, a score which is a multiple of 3 is obtained in 8 of the throws is: