RRB JE · Mathematics

Statistics Previous Year Questions

37 Statistics (Mathematics) questions asked in RRB JE previous year papers, each with the correct answer and explanation. Read them free on UTpaper, or attempt the full papers as timed online tests.

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Q1RRB JE CBT-1, 18 Dec 2024, Shift 3 (4:30 PM)
Find the mean of the following frequency distribution. x: 5, 6, 15, 9, 8 f: 10, 5, 8, 10, 9
  1. A7 13/21
  2. B8 13/21
  3. C9 13/21
  4. D6 13/21
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Correct answer: (B) 8 13/21

Q2RRB JE CBT-1, 18 Dec 2024, Shift 3 (4:30 PM)
The mean marks of the following distribution is: Marks Obtained: 28, 12, 57, 85 No. of Students: 8, 12, 18, 13
  1. A49
  2. B53
  3. C39
  4. D43
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Correct answer: (A) 49

Q3RRB JE CBT-1, 18 Dec 2024, Shift 2 (12:45 PM)
The marks scored by 10 students are given below. 18, 13, 14, 18, 14, 17, 15, 11, 13, 18 The mode of the data is:
  1. A13
  2. B18
  3. C14
  4. D11
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Correct answer: (B) 18

Q4RRB JE CBT-1, 18 Dec 2024, Shift 2 (12:45 PM)
If the mean proportional of P and 125 is 100, then find the value of P.
  1. A77
  2. B80
  3. C79
  4. D82
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Correct answer: (B) 80

Q5RRB JE CBT-1, 18 Dec 2024, Shift 2 (12:45 PM)
Study the given diagram carefully and answer the question that follows. The numbers in different sections indicate the number of persons who own the given brands of car. How many person own both MS and WB but not HM?
(NOTE: You have to take the given data to be true even if they seem to be at variance from commonly known facts.)
  1. A18
  2. B12
  3. C34
  4. D8
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Correct answer: (B) 12

Q6RRB JE CBT-1, 18 Dec 2024, Shift 2 (12:45 PM)
The age of some students is given in years as 22, 23, 26, 28, 24, 29, 23, 27, 25 and 21. The median age (in years) of the students is:
  1. A24.5
  2. B23.5
  3. C24
  4. D25
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Correct answer: (A) 24.5

Q7RRB JE CBT-1, 18 Dec 2024, Shift 1 (9:00 AM)
What is the median of the following data? 78, 33, 59, 56, 61, 36, 48, 42, 97, 57, 62
  1. A56.5
  2. B58
  3. C57
  4. D57.5
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Correct answer: (C) 57

Q8RRB JE CBT-1, 18 Dec 2024, Shift 1 (9:00 AM)
If the mean of the following data is 61, then the value of X is: xᵢ: 55, 60, 70, 95 fᵢ: 48, X, 31, 23
  1. A799
  2. B773
  3. C790
  4. D796
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Correct answer: (B) 773

Q9RRB JE CBT-1, 18 Dec 2024, Shift 1 (9:00 AM)
If the mean proportional of P and 100 is 50, then find the value of P.
  1. A25
  2. B28
  3. C22
  4. D24
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Correct answer: (A) 25

Q10RRB JE CBT-1, 18 Dec 2024, Shift 1 (9:00 AM)
Study the given diagram carefully and answer the questions. The numbers in different sections indicate the number of persons. How many persons are both poor and uneducated but not famous ?
(NOTE: You have to take the given data to be true even if they seem to be at variance from commonly known facts.)
  1. A8
  2. B5
  3. C12
  4. D30
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Correct answer: (B) 5

Q11RRB JE CBT-1, 17 Dec 2024, Shift 3 (4:30 PM)
What is the mean of the following distribution? Marks: 13, 23, 51, 61, 96 No. of Students: 51, 34, 62, 87, 17
  1. A46
  2. B72
  3. C37
  4. D34
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Correct answer: (A) 46

Q12RRB JE CBT-1, 17 Dec 2024, Shift 3 (4:30 PM)
Yeast reproduces through which asexual mode of reproduction?
  1. ABudding
  2. BVegetative propagation
  3. CFusion
  4. DFission
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Correct answer: (A) Budding

Q13RRB JE CBT-1, 17 Dec 2024, Shift 3 (4:30 PM)
What is the median of the following data? 17, 54, 51, 64, 13, 39, 23, 40, 78, 66, 96
  1. A52
  2. B51.5
  3. C50.5
  4. D51
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Correct answer: (D) 51

Q14RRB JE CBT-1, 17 Dec 2024, Shift 3 (4:30 PM)
A question is followed by two statements numbered (I) and (II). You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and select the most appropriate answer. Question: Five boxes, V, W, X, Y and Z, have different weights. Which box among them is the second heaviest? Statements: (I) Y is heavier than W. Only three boxes are lighter than Z. (II) X is heavier than W. X is heavier than V.
  1. AData in statement II alone is sufficient to answer the question while data in statement I is not.
  2. BData in statements I and II together are sufficient to answer the question.
  3. CData in statement I alone is sufficient to answer the question while data in statement II is not.
  4. DData in statements I and II together are not sufficient to answer the question.
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Correct answer: (C) Data in statement I alone is sufficient to answer the question while data in statement II is not.

Q15RRB JE CBT-1, 17 Dec 2024, Shift 2 (12:45 PM)
If the mean of the following data is 40, then the value of X is: xᵢ: 10, 25, 70, 85 fᵢ: 21, X, 22, 35
  1. A112
  2. B107
  3. C120
  4. D134
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Correct answer: (B) 107

Q16RRB JE CBT-1, 17 Dec 2024, Shift 1 (9:00 AM)
Find the arithmetic mean of the following data (correct to two places of decimals). Class- 5-15 15-25 25-35 35-45 45-55 55-65 interval Frequency 12 18 8 14 16 8
  1. A33.68
  2. B43.72
  3. C22.38
  4. D39.45
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Correct answer: (A) 33.68

Q17RRB JE CBT-1, 17 Dec 2024, Shift 1 (9:00 AM)
The median of 7, 18, 22, 12, 14, 7, 23, 16 and 3 is:
  1. A18
  2. B14
  3. C7
  4. D22
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Correct answer: (B) 14

Q18RRB JE CBT-1, 16 Dec 2024, Shift 3 (4:30 PM)
What is the median of the following data? 50, 48, 40, 73, 29, 14, 89, 14, 51, 76, 78
  1. A50.5
  2. B51
  3. C49.5
  4. D50
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Correct answer: (D) 50

Q19RRB JE CBT-1, 16 Dec 2024, Shift 3 (4:30 PM)
The mean marks of the following distribution is: Marks Obtained: 83, 73, 20, 82 No. of Students: 9, 5, 18, 16
  1. A57
  2. B78
  3. C50
  4. D58
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Correct answer: (D) 58

Q20RRB JE CBT-1, 16 Dec 2024, Shift 3 (4:30 PM)
In plants, spore formation is a mode of reproduction that involves the production of spores. Which of the following statements about spore formation is true?
  1. ASpores are a form of vegetative propagation in angiosperms only.
  2. BSpores are formed through sexual reproduction in plants.
  3. CSpores are produced by flowers, and they grow into seeds.
  4. DSpores are produced by non-flowering plants like ferns and mosses, and they grow into new plants.
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Correct answer: (D) Spores are produced by non-flowering plants like ferns and mosses, and they grow into new plants.

Q21RRB JE CBT-1, 16 Dec 2024, Shift 2 (12:45 PM)
If the mean of the following data is 37, then the value of X is: xᵢ: 20, 30, 40, 85 fᵢ: 19, X, 13, 24
  1. A124
  2. B125
  3. C107
  4. D106
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Correct answer: (A) 124

Q22RRB JE CBT-1, 16 Dec 2024, Shift 2 (12:45 PM)
The marks scored by 10 students are given below. 14, 15, 16, 17, 10, 17, 19, 13, 14, 14 The mode of the data is:
  1. A17
  2. B16
  3. C15
  4. D14
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Correct answer: (D) 14

Q23RRB JE CBT-1, 16 Dec 2024, Shift 1 (9:00 AM)
Find the median of the data given below. 180, 90, 134, 68, 52, 152, 88, 110
  1. A89
  2. B60
  3. C100
  4. D110
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Correct answer: (C) 100

Q24RRB JE CBT-1, 16 Dec 2024, Shift 1 (9:00 AM)
A question is followed by two statements numbered (I) and (II). You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and select the most appropriate answer. Question: Five friends, S, T, U, V and W, are of different ages. Who is the second eldest among them? Statements: (I) W is younger than T. W is elder than U. (II) T is the eldest. Only one person is younger than V.
  1. AData in statements I and II together are not sufficient to answer the question.
  2. BData in statements I and II together are sufficient to answer the question.
  3. CData in statement I alone is sufficient to answer the question while data in statement II is not.
  4. DData in statement II alone is sufficient to answer the question while data in statement I is not.
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Correct answer: (D) Data in statement II alone is sufficient to answer the question while data in statement I is not.

Explanation

Official answer key: (4) Data in statement II alone is sufficient to answer the question while data in statement I is not. Correct answer should be (1) Data in statements I and II together are not sufficient. From II, T is the eldest and V is 4th. From I, W is older than U. The 2nd, 3rd and 5th places can be W-S-U, W-U-S or S-W-U, so the second eldest (W or S) cannot be fixed. Scoring follows the official key.

Q25RRB JE CBT-1, 16 Dec 2024, Shift 1 (9:00 AM)
The marks scored by 10 students are given below. 17, 16, 12, 16, 15, 16, 13, 14, 13, 20 The mode of the data is:
  1. A16
  2. B18
  3. C12
  4. D17
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Correct answer: (A) 16

Q26RRB JE CBT-1, 25 Feb 2026, Shift 3 (4:30 PM)
Study the given diagram carefully and answer the question that follows. The numbers
in different sections indicate the number of persons. (NOTE: You have to take the given
data to be true even if they seem to be at variance from commonly known facts.)
How many young adults are entrepreneurs?
  1. A21
  2. B3
  3. C22
  4. D18
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Correct answer: (A) 21

Q27RRB JE CBT-1, 25 Feb 2026, Shift 3 (4:30 PM)
In the Assumed Mean Method, if the assumed mean (A) = 55 and an observed value x = 40, what is the deviation d?
  1. A1.5
  2. B-1.5
  3. C15
  4. D-15
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Correct answer: (D) -15

Q28RRB JE CBT-1, 20 Feb 2026, Shift 3 (4:30 PM)
A student scored 60, 70, and 80 in three subjects with weights 2, 3, and 5, respectively. What is the weighted mean score?
  1. A73
  2. B77
  3. C75
  4. D71
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Correct answer: (A) 73

Q29RRB JE CBT-1, 20 Feb 2026, Shift 2 (12:45 PM)
Study the given diagram carefully and answer the question that follows. The numbers in
different sections indicate the number of persons. (NOTE: You have to take the given
data to be true even if they seem to be at variance from commonly known facts.)
How many managers are there?
  1. A44
  2. B42
  3. C43
  4. D41
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Correct answer: (C) 43

Q30RRB JE CBT-1, 20 Feb 2026, Shift 2 (12:45 PM)
The harmonic mean of 4, 8 and 16 is (Rounded off to four decimal places)
  1. A6.5871
  2. B6.5817
  3. C6.8517
  4. D6.8571
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Correct answer: (D) 6.8571

Q31RRB JE CBT-1, 20 Feb 2026, Shift 2 (12:45 PM)
The following data represents the number of goals scored by a football team in 10 matches. 2, 3, 1, 4, 2, 5, 2, 3, 2, 4 The mode of the above data is x. If one more match is played, and the team scores 3 goals, what will be the difference between the previous mode and the new mode?
  1. A1
  2. B3
  3. C2
  4. D0
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Correct answer: (D) 0

Q32RRB JE CBT-1, 20 Feb 2026, Shift 1 (9:00 AM)
Find the mode of the given data (correct to two places of decimal). Class 0-6 6-12 12-18 18-24 24-30 interval Frequenc 8 7 5 9 4 y
  1. A20.67
  2. B22.45
  3. C19.24
  4. D21.36
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Correct answer: (A) 20.67

Q33RRB JE CBT-1, 19 Feb 2026, Shift 3 (4:30 PM)
The marks scored by 10 students are given below. 12, 12, 20, 12, 12, 17, 17, 18, 18, 13 The mode of the data is:
  1. A12
  2. B20
  3. C17
  4. D15
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Correct answer: (A) 12

Q34RRB JE CBT-1, 19 Feb 2026, Shift 2 (12:45 PM)
A question is followed by two statements numbered (I) and (II). You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements carefully and decide the appropriate answer. Among 5 people, A, B, C, D and E, each of a different height, who is the second-tallest? I: E is shorter than A. B is taller than D but shorter than E. II: Only C is taller than A. D is shorter than E.
  1. AThe data in statement II alone is sufficient to answer the question while data in statement I is not
  2. BThe data in statement I alone is sufficient to answer the question while data in statement II is not
  3. CThe data in statement I and II together (and not statement I alone or statement II alone) is sufficient to answer the question
  4. DThe data in statement I and II put together is NOT sufficient to answer the question
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Correct answer: (A) The data in statement II alone is sufficient to answer the question while data in statement I is not

Q35RRB JE CBT-1, 19 Feb 2026, Shift 2 (12:45 PM)
Find the median of the following data. 7, 19, 88, 20, 19, 26, 90, 81, 44, 34.
  1. A30
  2. B32
  3. C28
  4. D34
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Correct answer: (A) 30

Q36RRB JE CBT-1, 19 Feb 2026, Shift 2 (12:45 PM)
Find the mean proportional of 144 and 9.
  1. A37
  2. B35
  3. C39
  4. D36
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Correct answer: (D) 36

Q37RRB JE CBT-1, 19 Feb 2026, Shift 1 (9:00 AM)
Study the given diagram carefully and answer the question that follows. The numbers in
different sections indicate the number of persons. (NOTE: You have to take the given
data to be true even if they seem to be at variance from commonly known facts.)
How many builders are urban residents and own land?
  1. A11
  2. B6
  3. C7
  4. D9
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Correct answer: (C) 7

How to use these RRB JE Mathematics questions

Every question here was asked in a real RRB JE paper; the paper and shift are shown on the card, and the number opens the question on its own page. Try each one before tapping Show answer, then attempt the full RRB JE papers as timed tests to check your speed under exam conditions.

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