CDS · Elementary Mathematics · UPSC · 2016–2026

Statistics — CDS Elementary Mathematics PYQs

181 questions from this chapter, asked in 11 CDS exams between 2016–2026.

181questions

11CDS exams

2016–2026years covered

Questions asked per year

20264 Qs 202526 Qs 202412 Qs 202314 Qs 202217 Qs 202119 Qs 202018 Qs 201918 Qs 201815 Qs 201722 Qs 201616 Qs

Practice questions

Q1MCQ2026

Answer Logic

All possible groups of 3 distinct numbers from among $A$ , $B$ , $C$ , $D$ and $E$ are formed. If the aggregate of sums of numbers of each group is 120, then what is the arithmetic mean of $A$ , $B$ , $C$ , $D$ and $E$ ?

(A)4

(B)5

(C)10

(D)20

Q2MCQ2026

Answer Logic

The arithmetic mean of 100 observations is 50. If 10 is added to each observation then what will be the new arithmetic mean?

(A)50

(B)55

(C)60

(D)65

Q3MCQ2026

Answer Logic

The sum of the deviations of a set of $n$ numbers $x_{1}, x_{2}, x_{3}, \dots, x_{n}$ measured from 15 is $- 90$ and the sum of the deviations of the same numbers measured from $- 3$ is 54. What is the arithmetic mean?

(A)3.25

(B)3.50

(C)3.75

(D)4.25

Q4MCQ2026

Answer Logic

The numbers 59, 53, 51, 43, 36, $(8 x + 1)$ , $(x^{2} + 1)$ , 13, 12, 9, 7, 3 are written in descending order and their median is 25. What is/are the values of $x$ ?

(A)

- 12

only

(B)

4

only

(C)

- 12

4

(D)

12

- 4

Q5MCQ2025

Answer Logic

If the average of 64, 69, 72, 75, $x$ lies between 62 and 76 (excluding 62 and 76), then what is the number of possible integer values of $x$ ?

(A)68

(B)69

(C)70

(D)71

Q6MCQ2025

Answer Logic

Consider the following for the next five (05) items that follow:
The frequency distribution of 205 observations on $X$ is given below:

$X$	3	5	6	7
Frequency	$f$	$f + 2$	$f - 3$	$f + 6$

What is the value of $f$ ?

(A)50

(B)60

(C)70

(D)80

Q7MCQ2025

Answer Logic

Consider the following for the next five (05) items that follow:
The frequency distribution of 205 observations on $X$ is given below:

$X$	3	5	6	7
Frequency	$f$	$f + 2$	$f - 3$	$f + 6$

What is the median of the frequency distribution?

(A)3

(B)5

(C)6

(D)It cannot be determined from the given data

Q8MCQ2025

Answer Logic

Consider the following for the next five (05) items that follow:
The frequency distribution of 205 observations on $X$ is given below:

$X$	3	5	6	7
Frequency	$f$	$f + 2$	$f - 3$	$f + 6$

What is the mode of the frequency distribution?

(A)5

(B)6

(C)7

(D)It cannot be determined from the given data

Q9MCQ2025

Answer Logic

Consider the following for the next five (05) items that follow:
The frequency distribution of 205 observations on $X$ is given below:

$X$	3	5	6	7
Frequency	$f$	$f + 2$	$f - 3$	$f + 6$

What is the most appropriate graphical representation of the given frequency distribution of $X$ ?

(A)Bar diagram

(B)Histogram

(C)Frequency polygon

(D)Pie Chart

Q10MCQ2025

Answer Logic

Consider the following for the next five (05) items that follow:
The frequency distribution of 205 observations on $X$ is given below:

$X$	3	5	6	7
Frequency	$f$	$f + 2$	$f - 3$	$f + 6$

What is the mean of the frequency distribution?

(A)3.29

(B)4.29

(C)5.29

(D)6.29

Why practise Statistics PYQs?

Statistics has appeared in 11 CDS Elementary Mathematics exams we track between 2016–2026. UPSC examiners consistently reuse concepts and question patterns from this topic — practising its previous year questions is the most reliable way to know exactly what to expect in your exam.

Statistics — CDS Elementary Mathematics PYQs

Questions asked per year

Practice questions

Why practise Statistics PYQs?

Other Elementary Mathematics topics

Algebra

Number System

LCM & HCF

Ratio & Proportion

Trigonometry

Geometry

Mensuration

Speed, Time and Distance

Time and Work

Percentage

Other

Height and Distance

Profit, Loss & Discount

Set Theory