Median: Essential Concepts for Competitive Exam Success

Median

Q. Calculate the median of the following set: 1, 2, 3, 4, 5, 6, 7, 8. (2020)

A. 4
B. 4.5
C. 5
D. 6

Solution

Arranging the numbers: 1, 2, 3, 4, 5, 6, 7, 8. The median is the average of the 4th and 5th numbers: (4 + 5) / 2 = 4.5.

Correct Answer: B — 4.5

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Q. Calculate the median of the following set: 22, 19, 25, 30, 28, 24.

A. 24
B. 25
C. 26
D. 27

Solution

Arrange the numbers: 19, 22, 24, 25, 28, 30. The median is the average of the 3rd and 4th values: (24 + 25) / 2 = 24.5.

Correct Answer: A — 24

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Q. Determine the median of the following numbers: 9, 7, 5, 3, 1.

A. 5
B. 6
C. 7
D. 8

Solution

Arrange the numbers: 1, 3, 5, 7, 9. The median is the middle value, which is 5.

Correct Answer: A — 5

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Q. Determine the median of the following set: 1, 2, 3, 4, 5, 6, 7, 8. (2020)

A. 4
B. 4.5
C. 5
D. 6

Solution

Arrange the numbers: 1, 2, 3, 4, 5, 6, 7, 8. The median is the average of the 4th and 5th numbers: (4 + 5) / 2 = 4.5.

Correct Answer: B — 4.5

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Q. Find the median of the data set: 12, 15, 11, 10, 14, 13. (2020)

A. 11
B. 12
C. 13
D. 14

Solution

First, arrange the numbers: 10, 11, 12, 13, 14, 15. Since there are 6 numbers (even), the median is the average of the 3rd and 4th numbers: (12 + 13) / 2 = 12.5.

Correct Answer: C — 13

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Q. Find the median of the data set: 12, 15, 11, 14, 13, 10. (2020)

A. 11
B. 12
C. 13
D. 14

Solution

First, arrange the numbers: 10, 11, 12, 13, 14, 15. Since there are 6 numbers (even), the median is the average of the 3rd and 4th numbers: (12 + 13) / 2 = 12.5.

Correct Answer: C — 13

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Q. Find the median of the following data set: 12, 15, 11, 14, 13, 10. (2019)

A. 12
B. 13
C. 14
D. 15

Solution

First, arrange the numbers: 10, 11, 12, 13, 14, 15. The median is the average of the 3rd and 4th numbers: (12 + 13) / 2 = 12.5.

Correct Answer: B — 13

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Q. Find the median of the following set of numbers: 10, 20, 30, 40, 50, 60, 70, 80.

A. 35
B. 40
C. 45
D. 50

Solution

Arrange the numbers: 10, 20, 30, 40, 50, 60, 70, 80. The median is the average of the 4th and 5th values: (40 + 50) / 2 = 45.

Correct Answer: B — 40

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Q. Find the median of the following set of numbers: 9, 3, 6, 2, 8. (2023)

A. 6
B. 7
C. 8
D. 9

Solution

Arrange the numbers: 2, 3, 6, 8, 9. The median is the middle number, which is 6.

Correct Answer: A — 6

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Q. Find the median of the numbers: 12, 15, 10, 20, 18, 25.

A. 15
B. 18
C. 17
D. 20

Solution

Arrange the numbers: 10, 12, 15, 18, 20, 25. Since there are 6 numbers, the median is the average of the 3rd and 4th values: (15 + 18) / 2 = 16.5.

Correct Answer: B — 18

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Q. For the data set: 5, 8, 12, 15, 20, what is the median? (2020)

A. 12
B. 15
C. 10
D. 8

Solution

Arranging the numbers: 5, 8, 12, 15, 20. The median is the middle number, which is 12.

Correct Answer: A — 12

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Q. If the data set is 2, 4, 6, 8, 10, 12, what is the median? (2021)

A. 6
B. 7
C. 8
D. 9

Solution

The numbers are already in order. Since there are 6 numbers, the median is the average of the 3rd and 4th numbers: (6 + 8) / 2 = 7.

Correct Answer: C — 8

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Q. If the following numbers are given: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, what is the median? (2019)

A. 5
B. 6
C. 7
D. 8

Solution

The numbers are already in order. The median is the average of the 5th and 6th numbers: (5 + 6) / 2 = 5.5.

Correct Answer: B — 6

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Q. If the numbers 8, 3, 5, 12, and 7 are given, what is the median? (2022)

A. 5
B. 7
C. 8
D. 12

Solution

Arranging the numbers: 3, 5, 7, 8, 12. The median is the middle number, which is 7.

Correct Answer: B — 7

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Q. In a class of 15 students, their ages are: 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 14, 15, 16, 17, 18. What is the median age? (2023)

A. 15
B. 16
C. 17
D. 18

Solution

Arranging the ages: 14, 14, 14, 15, 15, 15, 16, 16, 16, 17, 17, 18, 18, 19, 20. The median is the 8th number, which is 16.

Correct Answer: B — 16

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Q. In a class of 5 students, their ages are 14, 16, 15, 18, and 17. What is the median age?

A. 15
B. 16
C. 17
D. 18

Solution

Arrange the ages: 14, 15, 16, 17, 18. The median is the middle value, which is 16.

Correct Answer: B — 16

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Q. In a class of 5 students, their ages are 16, 18, 17, 19, and 20. What is the median age? (2022)

A. 17
B. 18
C. 19
D. 20

Solution

Arrange the ages: 16, 17, 18, 19, 20. The median is the middle value, which is 18.

Correct Answer: B — 18

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Q. In a data set of 10 numbers, if the numbers are arranged in ascending order, what is the median? (2020)

A. Average of 5th and 6th
B. 5th number
C. 6th number
D. Average of 1st and 10th

Solution

For an even number of observations, the median is the average of the two middle numbers, which are the 5th and 6th numbers.

Correct Answer: A — Average of 5th and 6th

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Q. In a data set of 7 values: 5, 3, 8, 6, 2, 4, 7, what is the median? (2021)

A. 4
B. 5
C. 6
D. 7

Solution

Arrange the numbers: 2, 3, 4, 5, 6, 7, 8. The median is the middle number, which is 5.

Correct Answer: B — 5

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Q. In a set of numbers: 10, 20, 30, 40, 50, what is the median? (2023)

A. 20
B. 30
C. 40
D. 50

Solution

The numbers are in order. The median is the average of the 3rd and 4th numbers: (30 + 40) / 2 = 35.

Correct Answer: B — 30

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Q. In a survey, the following scores were recorded: 45, 55, 65, 75, 85, 95. What is the median score?

A. 65
B. 70
C. 75
D. 80

Solution

Arrange the scores: 45, 55, 65, 75, 85, 95. The median is the average of the 3rd and 4th values: (65 + 75) / 2 = 70.

Correct Answer: C — 75

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Q. The following numbers are given: 8, 3, 5, 12, 7. What is the median?

A. 5
B. 7
C. 8
D. 12

Solution

Arrange the numbers: 3, 5, 7, 8, 12. The median is the middle value, which is 7.

Correct Answer: C — 8

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Q. The following numbers represent the scores of a test: 45, 55, 65, 75, 85, 95. What is the median score? (2019)

A. 65
B. 70
C. 75
D. 80

Solution

Arrange the scores: 45, 55, 65, 75, 85, 95. The median is the average of the 3rd and 4th scores: (65 + 75) / 2 = 70.

Correct Answer: C — 75

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Q. What is the median of the following data set: 3, 7, 9, 5, 11?

A. 5
B. 7
C. 9
D. 11

Solution

First, arrange the data in ascending order: 3, 5, 7, 9, 11. The median is the middle value, which is 7.

Correct Answer: B — 7

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Q. What is the median of the following data set: 5, 3, 8, 6, 2, 4?

A. 4
B. 5
C. 5.5
D. 6

Solution

Arrange the numbers: 2, 3, 4, 5, 6, 8. The median is the average of the 3rd and 4th values: (4 + 5) / 2 = 4.5.

Correct Answer: C — 5.5

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Q. What is the median of the following data: 1, 2, 3, 4, 5, 6, 7, 8?

A. 4
B. 4.5
C. 5
D. 6

Solution

Arrange the numbers: 1, 2, 3, 4, 5, 6, 7, 8. The median is the average of the 4th and 5th values: (4 + 5) / 2 = 4.5.

Correct Answer: B — 4.5

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Q. What is the median of the following numbers: 10, 20, 30, 40, 50, 60, 70? (2022)

A. 30
B. 40
C. 50
D. 60

Solution

The numbers are in order. The median is the 4th number, which is 40.

Correct Answer: B — 40

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Q. What is the median of the following numbers: 22, 18, 25, 30, 20? (2021)

A. 20
B. 22
C. 25
D. 30

Solution

Arranging the numbers: 18, 20, 22, 25, 30. The median is the middle number, which is 22.

Correct Answer: A — 20

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Q. What is the median of the following numbers: 8, 3, 5, 12, 7, 10? (2023)

A. 5
B. 7
C. 8
D. 10

Solution

Arrange the numbers: 3, 5, 7, 8, 10, 12. The median is the average of the 3rd and 4th numbers: (7 + 8) / 2 = 7.5.

Correct Answer: C — 8

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Q. What is the median of the following set of numbers: 3, 7, 5, 9, 1? (2021)

A. 3
B. 5
C. 7
D. 9

Solution

To find the median, first arrange the numbers in ascending order: 1, 3, 5, 7, 9. The median is the middle number, which is 5.

Correct Answer: B — 5

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Median

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