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

If the mean of the following data is $12.5$, find the value of $k$.

\[ \begin{array}{|c|c|c|c|c|c|} \hline \text{Class interval} & 0\text{-}5 & 5\text{-}10 & 10\text{-}15 & 15\text{-}20 & 20\text{-}25 \\ \hline \text{Frequency} & 2 & k & 6 & 4 & 1 \\ \hline \end{array} \]

Find the mode of the following classified data.
\[ \begin{array}{|c|c|c|c|c|} \hline \text{Class interval} & 0\text{-}10 & 10\text{-}20 & 20\text{-}30 & 30\text{-}40 \\ \hline \text{Frequency} & 3 & 4 & 6 & 5 \\ \hline \end{array} \]

Median of the following frequency distribution is

Two dice are rolled. What is the probability of getting a total of $9$?

Find the mean of the numbers \[ 5^2,\;6^2,\;7^2,\;8^2,\;9^2,\;10^2. \]

Consider the quadratic equation \[ x^2+ax+b=0, \] where $a,b\in\{1,2,3,4\}$. What is the probability that the equation has real roots?

Calculate the arithmetic mean (approximately) from the following data

The weights of $14$ children (in kg) are given below. Find the median weight of the children (in kg). \[ 47,\;39,\;46,\;32,\;50,\;43,\;44,\;45,\;37,\;36,\;48,\;42,\;41,\;40 \]

If the median of the following classified data is $11$, find the value of $a$ in the table.

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

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?

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?

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

The mean of 13 numbers is 47. The mean of the first 3 numbers is 39, and that of the next 7 numbers is 49.

The $11^{\text{th}}$ number is 2 times the $12^{\text{th}}$ number, and the $12^{\text{th}}$ number is 3 less than the $13^{\text{th}}$ number.

Then the mean of the $11^{\text{th}}$ and $13^{\text{th}}$ numbers is:

If the mode of the following classified grouped data is $26$, then find the value of the missing frequency $k$ in the given table:

The mode of the continuous frequency distribution given in the following table is:

When a single number is drawn at random from the first 20 positive natural numbers, the probability that it is a multiple of 4 but NOT a multiple of 6 is equal to: