List of top Mathematical Ability Questions on Statistics asked in APICET

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:

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:

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

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 = ?

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:

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

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

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:

Median of the following discrete data is: \[ 1,2,2,3,3,3,4,4,4,4,5,5,5,5,5,......,10,10,10,10,10,10,10,10,10,10 \]

The mean of four numbers is 37. The mean of the smallest three of them is 34. If the range of the data is 15, what is the mean of the largest three?

If the mean and median are 28.33 and 28 respectively, then the mode is ____.

Second central moment (Variance) for the first $n$ natural numbers is ____.

The cumulative frequency table of marks is given. Then, the number of students scoring between 20 and 40 is: \[ \begin{array}{c|ccccc} {Marks} & \le 10 & \le 20 & \le 30 & \le 40 & \le 50 \\ \hline {Frequency} & 5 & 12 & 26 & 37 & 50 \end{array} \]

The median of the frequency distribution is: \[ \begin{array}{c|cccc} x & 1 & 2 & 3 & 4\\ \hline f & 2 & 4 & 1 & 3 \end{array} \]

A box contains 6 red balls and 4 blue balls. If two balls are drawn at random, then the probability that they are of the same colour is:

In a cricket match, the batsman Varun made 110 runs which includes 3 boundaries and 8 sixes. Then the percent of runs Varun scored by running between the wickets is approximately:

In an examination, 85% of the students passed in English, 80% passed in Mathematics and 75% passed in both English and Mathematics. If 50 students fail in both the subjects, then the total number of students who appear in the exam is: