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Home/JEE MAINS/mathematics/statistics
Curated PYQ Collection

Top 50 Most Repeated STATISTICS PYQs | JEE MAINS

A curated collection of the most important questions from STATISTICS, fully solved with step-by-step concepts to prepare for JEE MAINS.

Question #1

Practice Question

A.Making random guesses
B.Drawing meaningful conclusions
C.Ignoring observations
D.Increasing errors

Concept Applied

Organized data allows analysis and valid conclusions....

Read Full Step-by-Step Solution →

Question #2

Practice Question

A.The value 12 occurs most frequently in the data set
B.The mean of the data set is 12
C.The median of the data set is 12
D.All data values are less than or equal to 12

Concept Applied

By definition, the mode is the value that appears most often. The mean or median may be different, and other values can be larger than the mode....

Read Full Step-by-Step Solution →

Question #3

Practice Question

A.1/2
B.1/3
C.2/3
D.1/6

Concept Applied

Sample space: {1,2,3,4,5,6}. Prime numbers: 2,3,5 → 3 outcomes. Probability = $ \frac{3}{6} = \frac{1}{2} $. Note: 1 is not a prime number....

Read Full Step-by-Step Solution →

Question #4

Practice Question

A.2.4
B.3.0
C.1.6
D.2.0

Concept Applied

Mean = 8. Deviations from mean: |4-8|=4, |6-8|=2, |8-8|=0, |10-8|=2, |12-8|=4. Sum = 4+2+0+2+4=12. Mean deviation = 12/5 = 2.4. Common error: forgetti...

Read Full Step-by-Step Solution →

Question #5

Practice Question

A.12.5%
B.25%
C.33.33%
D.50%

Concept Applied

Percentage = (sector angle / 360°) × 100 = (45/360) × 100 = 12.5%....

Read Full Step-by-Step Solution →

Question #6

Practice Question

Concept Applied

Sum = 40, n = 5 ⇒ Mean = 40/5 = 8....

Read Full Step-by-Step Solution →

Question #7

Practice Question

A.Drawing a graph
B.Calculating mean
C.Collecting raw data
D.Arranging data in order

Concept Applied

The first step in any statistical analysis is the collection of raw data. Without data, no organization, representation, or analysis can be performed....

Read Full Step-by-Step Solution →

Question #8

Practice Question

Concept Applied

Sum = 40, n = 5 → Mean = 40/5 = 8....

Read Full Step-by-Step Solution →

Question #9

Practice Question

A.2 books
B.3 books
C.4 books
D.5 books

Concept Applied

Total students = 5 + 8 + 7 + 4 = 24. The median is the average of the 12th and 13th values when data are ordered. Positions 6‑13 correspond to student...

Read Full Step-by-Step Solution →

Question #10

Practice Question

A.Making random guesses
B.Drawing meaningful conclusions
C.Ignoring observations
D.Increasing errors

Concept Applied

Organized data allows analysis and valid conclusions....

Read Full Step-by-Step Solution →

Question #11

Practice Question

A.The value 12 occurs most frequently in the data set
B.The mean of the data set is 12
C.The median of the data set is 12
D.All data values are less than or equal to 12

Concept Applied

By definition, the mode is the value that appears most often. The mean or median may be different, and other values can be larger than the mode....

Read Full Step-by-Step Solution →

Question #12

Practice Question

A.1/2
B.1/3
C.2/3
D.1/6

Concept Applied

Sample space: {1,2,3,4,5,6}. Prime numbers: 2,3,5 → 3 outcomes. Probability = $ \frac{3}{6} = \frac{1}{2} $. Note: 1 is not a prime number....

Read Full Step-by-Step Solution →

Question #13

Practice Question

A.2.4
B.3.0
C.1.6
D.2.0

Concept Applied

Mean = 8. Deviations from mean: |4-8|=4, |6-8|=2, |8-8|=0, |10-8|=2, |12-8|=4. Sum = 4+2+0+2+4=12. Mean deviation = 12/5 = 2.4. Common error: forgetti...

Read Full Step-by-Step Solution →

Question #14

Practice Question

A.12.5%
B.25%
C.33.33%
D.50%

Concept Applied

Percentage = (sector angle / 360°) × 100 = (45/360) × 100 = 12.5%....

Read Full Step-by-Step Solution →

Question #15

Practice Question

Concept Applied

Sum = 40, n = 5 ⇒ Mean = 40/5 = 8....

Read Full Step-by-Step Solution →

Question #16

Practice Question

A.Drawing a graph
B.Calculating mean
C.Collecting raw data
D.Arranging data in order

Concept Applied

The first step in any statistical analysis is the collection of raw data. Without data, no organization, representation, or analysis can be performed....

Read Full Step-by-Step Solution →

Question #17

Practice Question

Concept Applied

Sum = 40, n = 5 → Mean = 40/5 = 8....

Read Full Step-by-Step Solution →

Question #18

Practice Question

A.2 books
B.3 books
C.4 books
D.5 books

Concept Applied

Total students = 5 + 8 + 7 + 4 = 24. The median is the average of the 12th and 13th values when data are ordered. Positions 6‑13 correspond to student...

Read Full Step-by-Step Solution →

Question #19

Practice Question

A.Making random guesses
B.Drawing meaningful conclusions
C.Ignoring observations
D.Increasing errors

Concept Applied

Organized data allows analysis and valid conclusions....

Read Full Step-by-Step Solution →

Question #20

Practice Question

A.The value 12 occurs most frequently in the data set
B.The mean of the data set is 12
C.The median of the data set is 12
D.All data values are less than or equal to 12

Concept Applied

By definition, the mode is the value that appears most often. The mean or median may be different, and other values can be larger than the mode....

Read Full Step-by-Step Solution →

Question #21

Practice Question

A.1/2
B.1/3
C.2/3
D.1/6

Concept Applied

Sample space: {1,2,3,4,5,6}. Prime numbers: 2,3,5 → 3 outcomes. Probability = $ \frac{3}{6} = \frac{1}{2} $. Note: 1 is not a prime number....

Read Full Step-by-Step Solution →

Question #22

Practice Question

A.2.4
B.3.0
C.1.6
D.2.0

Concept Applied

Mean = 8. Deviations from mean: |4-8|=4, |6-8|=2, |8-8|=0, |10-8|=2, |12-8|=4. Sum = 4+2+0+2+4=12. Mean deviation = 12/5 = 2.4. Common error: forgetti...

Read Full Step-by-Step Solution →

Question #23

Practice Question

A.12.5%
B.25%
C.33.33%
D.50%

Concept Applied

Percentage = (sector angle / 360°) × 100 = (45/360) × 100 = 12.5%....

Read Full Step-by-Step Solution →

Question #24

Practice Question

Concept Applied

Sum = 40, n = 5 ⇒ Mean = 40/5 = 8....

Read Full Step-by-Step Solution →

Question #25

Practice Question

A.Drawing a graph
B.Calculating mean
C.Collecting raw data
D.Arranging data in order

Concept Applied

The first step in any statistical analysis is the collection of raw data. Without data, no organization, representation, or analysis can be performed....

Read Full Step-by-Step Solution →

Question #26

Practice Question

Concept Applied

Sum = 40, n = 5 → Mean = 40/5 = 8....

Read Full Step-by-Step Solution →

Question #27

Practice Question

A.2 books
B.3 books
C.4 books
D.5 books

Concept Applied

Total students = 5 + 8 + 7 + 4 = 24. The median is the average of the 12th and 13th values when data are ordered. Positions 6‑13 correspond to student...

Read Full Step-by-Step Solution →

Question #28

Practice Question

A.Making random guesses
B.Drawing meaningful conclusions
C.Ignoring observations
D.Increasing errors

Concept Applied

Organized data allows analysis and valid conclusions....

Read Full Step-by-Step Solution →

Question #29

Practice Question

A.The value 12 occurs most frequently in the data set
B.The mean of the data set is 12
C.The median of the data set is 12
D.All data values are less than or equal to 12

Concept Applied

By definition, the mode is the value that appears most often. The mean or median may be different, and other values can be larger than the mode....

Read Full Step-by-Step Solution →

Question #30

Practice Question

A.1/2
B.1/3
C.2/3
D.1/6

Concept Applied

Sample space: {1,2,3,4,5,6}. Prime numbers: 2,3,5 → 3 outcomes. Probability = $ \frac{3}{6} = \frac{1}{2} $. Note: 1 is not a prime number....

Read Full Step-by-Step Solution →

Question #31

Practice Question

A.2.4
B.3.0
C.1.6
D.2.0

Concept Applied

Mean = 8. Deviations from mean: |4-8|=4, |6-8|=2, |8-8|=0, |10-8|=2, |12-8|=4. Sum = 4+2+0+2+4=12. Mean deviation = 12/5 = 2.4. Common error: forgetti...

Read Full Step-by-Step Solution →

Question #32

Practice Question

A.12.5%
B.25%
C.33.33%
D.50%

Concept Applied

Percentage = (sector angle / 360°) × 100 = (45/360) × 100 = 12.5%....

Read Full Step-by-Step Solution →

Question #33

Practice Question

Concept Applied

Sum = 40, n = 5 ⇒ Mean = 40/5 = 8....

Read Full Step-by-Step Solution →

Question #34

Practice Question

A.Drawing a graph
B.Calculating mean
C.Collecting raw data
D.Arranging data in order

Concept Applied

The first step in any statistical analysis is the collection of raw data. Without data, no organization, representation, or analysis can be performed....

Read Full Step-by-Step Solution →

Question #35

Practice Question

Concept Applied

Sum = 40, n = 5 → Mean = 40/5 = 8....

Read Full Step-by-Step Solution →

Question #36

Practice Question

A.2 books
B.3 books
C.4 books
D.5 books

Concept Applied

Total students = 5 + 8 + 7 + 4 = 24. The median is the average of the 12th and 13th values when data are ordered. Positions 6‑13 correspond to student...

Read Full Step-by-Step Solution →

Question #37

Practice Question

A.Making random guesses
B.Drawing meaningful conclusions
C.Ignoring observations
D.Increasing errors

Concept Applied

Organized data allows analysis and valid conclusions....

Read Full Step-by-Step Solution →

Question #38

Practice Question

A.The value 12 occurs most frequently in the data set
B.The mean of the data set is 12
C.The median of the data set is 12
D.All data values are less than or equal to 12

Concept Applied

By definition, the mode is the value that appears most often. The mean or median may be different, and other values can be larger than the mode....

Read Full Step-by-Step Solution →

Question #39

Practice Question

A.1/2
B.1/3
C.2/3
D.1/6

Concept Applied

Sample space: {1,2,3,4,5,6}. Prime numbers: 2,3,5 → 3 outcomes. Probability = $ \frac{3}{6} = \frac{1}{2} $. Note: 1 is not a prime number....

Read Full Step-by-Step Solution →

Question #40

Practice Question

A.2.4
B.3.0
C.1.6
D.2.0

Concept Applied

Mean = 8. Deviations from mean: |4-8|=4, |6-8|=2, |8-8|=0, |10-8|=2, |12-8|=4. Sum = 4+2+0+2+4=12. Mean deviation = 12/5 = 2.4. Common error: forgetti...

Read Full Step-by-Step Solution →

Question #41

Practice Question

A.12.5%
B.25%
C.33.33%
D.50%

Concept Applied

Percentage = (sector angle / 360°) × 100 = (45/360) × 100 = 12.5%....

Read Full Step-by-Step Solution →

Question #42

Practice Question

Concept Applied

Sum = 40, n = 5 ⇒ Mean = 40/5 = 8....

Read Full Step-by-Step Solution →

Question #43

Practice Question

A.Drawing a graph
B.Calculating mean
C.Collecting raw data
D.Arranging data in order

Concept Applied

The first step in any statistical analysis is the collection of raw data. Without data, no organization, representation, or analysis can be performed....

Read Full Step-by-Step Solution →

Question #44

Practice Question

Concept Applied

Sum = 40, n = 5 → Mean = 40/5 = 8....

Read Full Step-by-Step Solution →

Question #45

Practice Question

A.2 books
B.3 books
C.4 books
D.5 books

Concept Applied

Total students = 5 + 8 + 7 + 4 = 24. The median is the average of the 12th and 13th values when data are ordered. Positions 6‑13 correspond to student...

Read Full Step-by-Step Solution →

Question #46

Practice Question

A.Making random guesses
B.Drawing meaningful conclusions
C.Ignoring observations
D.Increasing errors

Concept Applied

Organized data allows analysis and valid conclusions....

Read Full Step-by-Step Solution →

Question #47

Practice Question

A.The value 12 occurs most frequently in the data set
B.The mean of the data set is 12
C.The median of the data set is 12
D.All data values are less than or equal to 12

Concept Applied

By definition, the mode is the value that appears most often. The mean or median may be different, and other values can be larger than the mode....

Read Full Step-by-Step Solution →

Question #48

Practice Question

A.1/2
B.1/3
C.2/3
D.1/6

Concept Applied

Sample space: {1,2,3,4,5,6}. Prime numbers: 2,3,5 → 3 outcomes. Probability = $ \frac{3}{6} = \frac{1}{2} $. Note: 1 is not a prime number....

Read Full Step-by-Step Solution →

Question #49

Practice Question

A.2.4
B.3.0
C.1.6
D.2.0

Concept Applied

Mean = 8. Deviations from mean: |4-8|=4, |6-8|=2, |8-8|=0, |10-8|=2, |12-8|=4. Sum = 4+2+0+2+4=12. Mean deviation = 12/5 = 2.4. Common error: forgetti...

Read Full Step-by-Step Solution →

Question #50

Practice Question

A.12.5%
B.25%
C.33.33%
D.50%

Concept Applied

Percentage = (sector angle / 360°) × 100 = (45/360) × 100 = 12.5%....

Read Full Step-by-Step Solution →
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