CUET-UG SERIES Mathematics
Statistics
35 previous year questions.
Volume: 35 Ques
Yield: High
High-Yield Trend
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2025 7
2024 22
2023 Chapter Questions 35 MCQs
01
PYQ 2023
medium
mathematics ID: cuet-ug-
Match List - I with List - II.
Choose the correct answer from the options given below:
| List - I | List -II |
| (A) t-distribution | (I)sample size |
| (B) Sample mean | (II) |
| (C) Population mean | (III)degree of freedom |
| (D)Z-distribution | (IV) |
1
(A)-(I), (B)-(II), (C)-(III), (D)-(IV)
2
(A)-(I), (B)-(II), (C)-(IV), (D)-(III)
3
(A)-(II), (B)-(IV), (C)-(III), (D)-(1)
4
(A)-(III), (B)-(II), (C)-(IV), (D)-(I)
02
PYQ 2023
medium
mathematics ID: cuet-ug-
The index number of base yera is :
1
10
2
100
3
200
4
300
03
PYQ 2023
medium
mathematics ID: cuet-ug-
Match List I with List II:
| List I | List II | ||
| A. | Marshall Edgeworth's Index Number | I. | |
| B. | Laspeyre's Index Number | II. | |
| C. | Fisher's Ideal Index Number | III. | |
| D. | Paasche's Index Number | IV. | |
1
A-I, B-II, C-IV, D-III
2
A-IV, B-I, C-II, D-III
3
A-II, B-IV, C-III, D-I
4
A-III, B-I, C-II, D-IV
04
PYQ 2023
medium
mathematics ID: cuet-ug-
Consider the table below on the quantities of commodities alongside their prices in the year 2020 and 2022.
The value of ∑p1q0 is :
| Commodity | Prices (₹) | Quantities | ||
| In 2020 Year | In 2022 Year | In 2020 Year | In 2022 Year | |
| A | 1 | 2 | 5 | 6 |
| B | 3 | 4 | 3 | 4 |
| C | 5 | 6 | 2 | 5 |
| D | 4 | 5 | 1 | 3 |
| E | 3 | 4 | 4 | 6 |
1
40
2
55
3
73
4
97
05
PYQ 2023
medium
mathematics ID: cuet-ug-
Match List I with List II
Choose the correct answer from the options given below:
LIST I | LIST II | ||
| A. | Weight is considered as quantity in base year in, | I. | Paasche's index number |
| B. | Weight is considered as quantity in current year in, | II. | Fisher's index number |
| C. | The index number which is called as ideal index number is, | III. | Marshall-Edgeworth's index number |
| D. | Weight is taken as the average of the base year quantity and current year quantity in | IV. | Laspeyre's index number |
Choose the correct answer from the options given below:
1
A-I, B-IV, C-II, D-III
2
A-III, B-IV, С-I, D-II
3
A-II, B-III, С-IV, D-I
4
A-IV, B-I, С-II, D-III
06
PYQ 2023
medium
mathematics ID: cuet-ug-
Consider the following data:
The equation of the straight line trend by the method of least squares is,
| Year | 2008 | 2009 | 2010 | 2011 | 2012 |
| Production(In Tons) | 60 | 75 | 80 | 70 | 85 |
1
y=63+5.6x
2
y=74+4.5 x
3
y=75.3+2.5 x
4
y=95+6.5 x
07
PYQ 2023
medium
mathematics ID: cuet-ug-
Which index number is used to compare cost of living at two different cities?
1
Value index
2
Volume index
3
Weighted index
4
Consumer price index
08
PYQ 2023
medium
mathematics ID: cuet-ug-
If Paasche's index number is 160 and Laspeyre's index number is 250, then Fisher's index number is:
1
150
2
200
3
300
4
80
09
PYQ 2023
hard
mathematics ID: cuet-ug-
Suppose that a 95% confidence interval states that population mean is greater than 100 and less than 300. Then the value of sample mean and margin of error (E) respectively are :
1
150, ±100
2
100, ±100
3
250, ±50
4
200, ±100
10
PYQ 2023
medium
mathematics ID: cuet-ug-
In reference to sampling, match List I with List II
| LIST I | LIST II | ||
| A. | Measure of a characteristic of a sample | I. | Parameter |
| B. | An assumption made about a population | II. | Standard Error |
| C. | Standard deviation of the sample | III. | Statistic |
| D. | Measure of characteristic of a population | IV. | Null Hypothesis |
Choose the correct answer from the options given below:
1
A-II, B-III, C-I, D-IV
2
A-III, B-IV, C-II, D-I
3
A-II, B-IV, C-III, D-I
4
A-II, B-III, C-IV, D-I
11
PYQ 2023
medium
mathematics ID: cuet-ug-
For a certain data test statistic ‘t’ is calculated as : , then select the correct option :
1
2
3
4
12
PYQ 2023
medium
mathematics ID: cuet-ug-
Which of the following is a correct statement ?
1
Determinant is a rectangular arrangement of numbers.
2
Determinant is a square arrangement of numbers.
3
Determinant is a value assigned to a square arrangement of numbers in a specific manner
4
Determinant is sum of diagonals elements of a square arrangement of numbers
13
PYQ 2023
medium
mathematics ID: cuet-ug-
Consider the following statements :
A. Cost of living at two different cities can be compared with volume index.
B. When the prices of rice are to be compared we use price index.
C. In Laspeyre's price index number weight is considered as price in current year.
D. Purchasing power of money can be assessed through consumer price index.
E. Fisher Index number is called ideal index number.
Choose the correct answer from the options given below :
A. Cost of living at two different cities can be compared with volume index.
B. When the prices of rice are to be compared we use price index.
C. In Laspeyre's price index number weight is considered as price in current year.
D. Purchasing power of money can be assessed through consumer price index.
E. Fisher Index number is called ideal index number.
Choose the correct answer from the options given below :
1
A and B only
2
B, D and E only
3
A, B and C only
4
C only
14
PYQ 2023
medium
mathematics ID: cuet-ug-
The point estimate for the mean number of sales of cars for the following data 103, 140, 92, 115, 110, is:
1
111
2
112
3
115
4
114
15
PYQ 2023
medium
mathematics ID: cuet-ug-
The prices and the quantities of three commodities are given are :
| Commodity | Price (₹) | Quantities | ||
| in Year 2006 | in Year 2009 | in Year 2006 | in Year 2009 | |
| P | 100 | 90 | 12 | 10 |
| Q | 80 | 8 | 7 | |
| R | 60 | 50 | 4 | 6 |
The Laspeyre's price index number for year 2009 with year 2006 as base is 200. The value of is:
1
320
2
360
3
140
4
260
16
PYQ 2023
medium
mathematics ID: cuet-ug-
he trend line for the sales (in lakhs) is given by The estimated sale for theyear is :
1
lakh
2
lakh
3
lakh
4
lakh
17
PYQ 2023
medium
mathematics ID: cuet-ug-
The price relatives and weights of a set of commodities are given as:
If the sum of weights is 54 and index for the set is 130, then the values of x and y are
| Commodity | P | Q | R |
| Price Relative | 100 | 130 | 180 |
| Weight | x | 2x | y |
If the sum of weights is 54 and index for the set is 130, then the values of x and y are
1
x=12, y=18
2
x=15, y=9
3
x=16, y=6
4
x=9, y=15
18
PYQ 2023
medium
mathematics ID: cuet-ug-
If Laspeyre's index number is 225 and Paasche's index number is 144, then Fisher's ideal index number is:
1
160
2
120
3
180
4
210
19
PYQ 2023
medium
mathematics ID: cuet-ug-
For the formula consider of the following statements:
A. and are sample mean and population mean respectively.
B. and are sample sizes of two samples from same population.
C. and are sample means of two samples from same population.
D. and are standard error of two samples from same population.
E. is the sample size and is the population size.
Choose the correct answer from the options given below:
A. and are sample mean and population mean respectively.
B. and are sample sizes of two samples from same population.
C. and are sample means of two samples from same population.
D. and are standard error of two samples from same population.
E. is the sample size and is the population size.
Choose the correct answer from the options given below:
1
B and D only
2
A, B and D only
3
B, C and D only
4
A and E only
20
PYQ 2023
medium
mathematics ID: cuet-ug-
For the data
| Variable | Price | Weights | |
|---|---|---|---|
| Base Year | Current Year | ||
X | 30 | 50 | 8 |
Y | 10 | 15 | 7 |
Z | 25 | 30 | 4 |
The weighted price index number is:
1
152.44
2
150.44
3
154.44
4
156.44
21
PYQ 2023
medium
mathematics ID: cuet-ug-
Consider the following data:
| Year | 2012 | 2013 | 2014 | 2015 | 2016 |
| Sales (in crores) | 8 | 10 | 7 | 9 | 12 |
The equation of the straight line trend by the method of least squares is :
1
y=0.7+9.5x
2
y=10.3+0.5x
3
y=9.2+0.7x
4
y=11.5+0.6x
22
PYQ 2023
medium
mathematics ID: cuet-ug-
In the equation of trend line , a and b represent:
1
the mean of y and the slope of trend line respectively
2
the slope of trend line and the mean of y respectively
3
the mean of xy and the slope of tend line respectively
4
the slope of trend line and the mean of x respectively
23
PYQ 2024
medium
mathematics ID: cuet-ug-
Mohan caught 100 frogs from a garden and measured their weights. The mean weight of these frogs is a :
1
parameter
2
central limit
3
statistic
4
null hypothesis
24
PYQ 2024
medium
mathematics ID: cuet-ug-
Which of the following are components of a time series?(A) Irregular component
(B) Cyclical component
(C) Chronological component
(D) Trend Component
Choose the correct answer from the options given below:
(B) Cyclical component
(C) Chronological component
(D) Trend Component
Choose the correct answer from the options given below:
1
(A), (B) and (D) only
2
(A), (B) and (C) only
3
(A), (B), (C) and (D)
4
(B), (C) and (D) only
25
PYQ 2024
medium
mathematics ID: cuet-ug-
A sample size of is considered to be sufficient to hold the Central Limit Theorem (CLT). The value of should be:
1
less than 20
2
greater than or equal to 30
3
less than 30
4
sample size does not affect the CLT
26
PYQ 2024
easy
mathematics ID: cuet-ug-
The following data is from a simple random sample: 15, 23, x, 37, 19, 32. If the point estimate of the population mean is 23, then the value of x is:
1
12
2
30
3
21
4
24
27
PYQ 2024
medium
mathematics ID: cuet-ug-
For the given five values 12, 15, 18, 24, 36; the three-year moving averages are:
1
15, 25, 21
2
15, 27, 19
3
15, 19, 26
4
15, 19, 30
28
PYQ 2024
medium
mathematics ID: cuet-ug-
Match List-I with List-II:
Choose the correct answer from the options given below.
| List-I | List-II |
|---|---|
| (A) Distribution of a sample leads to becoming a normal distribution | (I) Central Limit Theorem |
| (B) Some subset of the entire population | (II) Hypothesis |
| (C) Population mean | (III) Sample |
| (D) Some assumptions about the population | (IV) Parameter |
Choose the correct answer from the options given below.
1
(A) - (I), (B) - (II), (C) - (III), (D) - (IV)
2
(A) - (I), (B) - (III), (C) - (IV), (D) - (II)
3
(A) - (I), (B) - (II), (C) - (IV), (D) - (III)
4
(A) - (III), (B) - (IV), (C) - (I), (D) - (II)
29
PYQ 2024
medium
mathematics ID: cuet-ug-
If a confidence interval for the population mean was reported to be 160 to 170 and , then the size of the sample used in this study is:
1
96
2
125
3
54
4
81
30
PYQ 2025
medium
mathematics ID: cuet-ug-
Match List-I with List-II
| List-I | List-II |
|---|---|
| (A) An observed set of population selected for analysis | (I) Parameter |
| (B) A specific characteristic of the population | (II) Hypothesis |
| (C) A specific characteristic of the sample | (III) Statistic |
| (D) A statement made about a population parameter for testing | (IV) Sample |
1
(A) - (I), (B) - (II), (C) - (III), (D) - (IV)
2
(A) - (IV), (B) - (III), (C) - (I), (D) - (II)
3
(A) - (I), (B) - (II), (C) - (IV), (D) - (III)
4
(A) - (IV), (B) - (I), (C) - (III), (D) - (II)
31
PYQ 2025
medium
mathematics ID: cuet-ug-
Which of the following are the assumptions underlying the use of t-distribution?
(A) The variance of population is known.
(B) The samples are drawn from a normally distributed population.
(C) Sample standard deviation is an unbiased estimate of the population variance.
(D) It depends on a parameter known as degree of freedom.
Choose the correct answer from the options given below:
(A) The variance of population is known.
(B) The samples are drawn from a normally distributed population.
(C) Sample standard deviation is an unbiased estimate of the population variance.
(D) It depends on a parameter known as degree of freedom.
Choose the correct answer from the options given below:
1
(A), (B) and (D) only
2
(A), (B) and (C) only
3
(B) and (D) only
4
(C) and (D) only
32
PYQ 2025
easy
mathematics ID: cuet-ug-
If a 95% confidence interval for a population mean was reported to be 132 to 160 and sample standard deviation s = 50, then the size of the sample in the study is:
(Given = 1.96)
(Given = 1.96)
1
90
2
95
3
50
4
49
33
PYQ 2025
medium
mathematics ID: cuet-ug-
Which of the following are the assumptions underlying the use of t-distribution?
(A) The variance of population is known.
(B) The samples are drawn from a normally distributed population.
(C) Sample standard deviation is an unbiased estimate of the population variance.
(D) It depends on a parameter known as degree of freedom.
Choose the correct answer from the options given below:
(A) The variance of population is known.
(B) The samples are drawn from a normally distributed population.
(C) Sample standard deviation is an unbiased estimate of the population variance.
(D) It depends on a parameter known as degree of freedom.
Choose the correct answer from the options given below:
1
(A), (B) and (D) only
2
(A), (B) and (C) only
3
(B) and (D) only
4
(C) and (D) only
34
PYQ 2025
medium
mathematics ID: cuet-ug-
If a 95% confidence interval for a population mean was reported to be 132 to 160 and sample standard deviation s = 50, then the size of the sample in the study is:
(Given = 1.96)
(Given = 1.96)
1
90
2
95
3
50
4
49
35
PYQ 2025
medium
mathematics ID: cuet-ug-
Let F(Z) be the cumulative density function of the standard normal variate Z, then which of the following are correct?
(A)
(B)
(C)
(D)
Choose the correct answer from the options given below:
(A)
(B)
(C)
(D)
Choose the correct answer from the options given below:
1
(A), (B) and (D) only
2
(A), (B) and (C) only
3
(A), (C) and (D) only
4
(B) and (D) only
About Statistics - CUET-UG
Statistics is a vital chapter for CUET-UG aspirants. Mastering the concepts covered in this chapter is essential for securing a top rank.
By rigorously practicing the previous year questions associated with this chapter, you can identify high-yield topics, understand the examiner's perspective, and boost your confidence during the actual exam.
Frequently Asked Questions
Why focus on Statistics PYQs?
Analyzing PYQs for this specific chapter reveals the most frequently tested concepts and the typical complexity of questions, allowing you to tailor your study plan efficiently.
How to best use this analysis?
Review the topic breakdown to see which sub-topics within Statistics carry the most weight. Then, tackle the questions iteratively to solidify your understanding.