List of top Mathematical Ability Questions on Statistics asked in TG ICET

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

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.

Find the median of the following data.

Find the median of the following classified data.

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

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?

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

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?

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 \((A\cup B)-(A\cap B)=\)