NDA Statistics questions with solutions
Mean, variance and measures of dispersion. 35 questions from our 2016–2025 NDA pattern papers, from the Class 11 Mathematics syllabus. Each has the answer and a full solution.
Also practise: Statistics for JEE Main
NDA 2025
- The weighted arithmetic mean of the marks 40, 50, 60 with weights 1, 2, 2 respectively is
- If the mean of a data set is 20 and its median is 18, the mode using the empirical relation is
- For the data 10,25,40,55,90, the coefficient of range is
- The mean of the first n natural numbers is (n+1)/(2). 2. The median of a data set is always one of the observations.
NDA 2024
- The mode of the data 4,6,6,8,9,6,9,9,10,9 is
- The variance of the observations 1,3,5,7,9,11 is
- The mean of five numbers is 18. When one number is removed, the mean of the remaining numbers becomes 16. The number removed is
- Adding the same constant to every observation does not change the variance. 2. The median of a data set is always equal to its mean.
NDA 2023
NDA 2022
NDA 2021
NDA 2020
- The variance of the first 7 natural numbers 1,2,…,7 is
- The median of the first twelve prime numbers is
- The mean of a data set is 10 and its standard deviation is 3. Each observation is multiplied by 2 and then increased by 3. The variance of the new…
- Two groups each have 10 observations. The first has mean 4 and variance 2, the second has mean 6 and variance 2. The variance of the combined 20…
- The median of a set of observations is always one of the observations. 2. The standard deviation does not change if the same constant is added to…
NDA 2019
- The average marks of 30 students of one section are 60 and of 20 students of another section are 70. The average marks of all 50 students are
- The mode of the data 3,5,5,6,7,5,8,7,7,9,7 is
- The standard deviation of 11 consecutive integers is
- A set of observations has mean 20 and standard deviation 5. The coefficient of variation is
- The arithmetic mean of a data set is not affected by extreme values. 2. The standard deviation of a data set is never negative.
NDA 2018
- The standard deviation of the observations 4,8,12,16,20 is
- A number is chosen at random from the integers 1 to 20. The probability that it is a perfect square or a perfect cube is
- Two mutually exclusive events, each with non-zero probability, can be independent. 2. For all events A and B, P(A∩ B)=P(A)P(B).
- A box has 3 white and 5 black balls. Two balls are drawn one after another without replacement. The probability that they are of different colours is
- If a constant c is added to every observation, the mean increases by c. 2. If a constant c is added to every observation, the variance increases by c.
- In a town, 1% of people have a certain disease. A test is positive for 90% of the people who have the disease and also for 5% of the people who do…
NDA 2017
- The mean of five observations is 12. If one observation 8 is replaced by 18, the new mean is
- The median of the observations 12, 5, 8, 20, 15, 9 is
- The variance of the observations 2,4,6,8 is 5. If each observation x is changed to 3x+2, the variance of the new set is
- For a symmetric frequency distribution, the mean and the median coincide. 2. The median of a data set is always one of the observations.
NDA 2016
Other Mathematics topics
Three Dimensional Geometry 48Vector Algebra 60Complex Numbers and Quadratic Equations 35Binomial Theorem 16Sequences and Series 36Quadratic Equations 27Permutations and Combinations 25Probability 27Matrices 37Determinants 13Sets, Relations and Functions 39Binary Number System 11Logarithms 11Inverse Trigonometric Functions 22Trigonometric Functions and Identities 49Trigonometric Equations 16Properties of Triangles 18Heights and Distances 12Straight Lines 43Circles 21Conic Sections 28Limits 23Continuity and Differentiability 16Application of Derivatives 34Derivatives 33Integrals 16Definite Integrals 23Application of Integrals 12Differential Equations 30