Statistics & Probability for Competitive Exam Success

Statistics & Probability

Mean Median Mode Probability Rules Variance & SD

Q. In a frequency distribution, the following data is given: 1 (2 times), 2 (3 times), 3 (3 times), 4 (1 time). What is the mode? (2020)

A. 1
B. 2
C. 3
D. 4

Solution

Both 2 and 3 appear 3 times, but since 2 is the smallest, the mode is 2.

Correct Answer: B — 2

Learn More →

Q. In a group of 15 people, the ages are: 20, 21, 21, 22, 22, 22, 23, 24, 25, 25, 25, 26, 27, 28, 29. What is the mode of the ages? (2022)

A. 21
B. 22
C. 25
D. 26

Solution

The age 22 appears 3 times, which is more than any other age, so the mode is 22.

Correct Answer: C — 25

Learn More →

Q. In a group of friends, the number of games played is: 3, 3, 4, 4, 4, 5, 6. What is the mode of the games played?

A. 3
B. 4
C. 5
D. 6

Solution

The mode is 4, as it appears most frequently (3 times) in the data set.

Correct Answer: B — 4

Learn More →

Q. In a lottery, the probability of winning is 0.2. What is the probability of losing?

A. 0.2
B. 0.5
C. 0.8
D. 0.1

Solution

Probability of losing = 1 - P(winning) = 1 - 0.2 = 0.8.

Correct Answer: C — 0.8

Learn More →

Q. In a set of data: 5, 6, 7, 7, 8, 8, 8, 9, 10, 10, what is the mode?

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

Solution

The mode is 8, as it appears most frequently (3 times) in the data set.

Correct Answer: C — 8

Learn More →

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

Learn More →

Q. In a set of numbers: 5, 6, 7, 5, 8, 5, 9, 6, what is the mode?

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

Solution

The mode is 5, as it appears four times in the data set.

Correct Answer: A — 5

Learn More →

Q. In a survey of favorite fruits, the responses were: Apple, Banana, Banana, Cherry, Cherry, Cherry, Date. What is the mode?

A. Apple
B. Banana
C. Cherry
D. Date

Solution

The mode is Cherry, as it appears most frequently (3 times) in the data set.

Correct Answer: C — Cherry

Learn More →

Q. In a survey of favorite fruits, the results were: Apple, Banana, Banana, Cherry, Cherry, Cherry, Date. What is the mode?

A. Apple
B. Banana
C. Cherry
D. Date

Solution

The mode is Cherry, as it appears most frequently (3 times) in the survey results.

Correct Answer: C — Cherry

Learn More →

Q. In a survey, 60% of people prefer tea over coffee. If 200 people were surveyed, how many prefer tea? (2019)

A. 120
B. 100
C. 80
D. 60

Solution

Number of people preferring tea = 60% of 200 = 0.6 * 200 = 120.

Correct Answer: A — 120

Learn More →

Q. In a survey, 70% of people prefer tea over coffee. If 200 people were surveyed, how many prefer tea? (2019)

A. 140
B. 150
C. 160
D. 170

Solution

Number of people preferring tea = 70% of 200 = 0.7 * 200 = 140.

Correct Answer: A — 140

Learn More →

Q. In a survey, the ages of 15 participants are: 22, 22, 23, 24, 24, 24, 25, 26, 27, 27, 28, 29, 30, 30, 30. What is the mode?

A. 22
B. 24
C. 27
D. 30

Solution

The mode is 30, as it appears 3 times, which is more than any other age.

Correct Answer: D — 30

Learn More →

Q. In a survey, the ages of 15 participants are: 22, 23, 23, 24, 25, 25, 25, 26, 27, 28, 28, 29, 30, 30, 30. What is the mode of the ages?

A. 23
B. 25
C. 28
D. 30

Solution

The mode is 30, as it appears most frequently (3 times) in the data set.

Correct Answer: D — 30

Learn More →

Q. In a survey, the number of languages spoken by individuals is recorded as follows: 1, 2, 2, 3, 3, 3, 4. What is the mode?

A. 1
B. 2
C. 3
D. 4

Solution

The mode is 3, as it appears three times in the data set.

Correct Answer: C — 3

Learn More →

Q. In a survey, the number of languages spoken by participants is recorded as follows: 1, 2, 2, 3, 3, 3, 4, 5. What is the mode?

A. 1
B. 2
C. 3
D. 4

Solution

The mode is 3, as it appears 3 times, more than any other number.

Correct Answer: C — 3

Learn More →

Q. In a survey, the number of siblings reported by participants is: 0, 1, 2, 1, 2, 2, 3. What is the mode?

A. 0
B. 1
C. 2
D. 3

Solution

The mode is 2, which appears 3 times in the data set.

Correct Answer: C — 2

Learn More →

Q. In the data set 1, 2, 2, 3, 4, 4, 4, 5, 5, what is the mode?

A. 1
B. 2
C. 4
D. 5

Solution

The mode is 4, as it appears most frequently (three times) in the data set.

Correct Answer: C — 4

Learn More →

Q. In the data set: 2, 3, 3, 4, 4, 5, 5, 5, what is the mode?

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

Solution

The mode is 5, as it appears most frequently (three times) in the data set.

Correct Answer: D — 5

Learn More →

Q. In the following data set: 1, 2, 2, 3, 3, 4, 4, 4, what is the mode?

A. 1
B. 2
C. 3
D. 4

Solution

The mode is 4, as it appears most frequently (three times) in the data set.

Correct Answer: D — 4

Learn More →

Q. In the following data set: 4, 4, 4, 5, 5, 6, 7, 8, what is the mode?

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

Solution

The mode is 4, as it appears most frequently (three times) in the data set.

Correct Answer: A — 4

Learn More →

Q. The ages of a group of people are: 22, 25, 22, 30, 25, 22, 28. What is the mode of their ages?

A. 22
B. 25
C. 28
D. 30

Solution

The mode is 22, as it appears 3 times, more than any other age.

Correct Answer: A — 22

Learn More →

Q. The average of 10, 20, 30, and x is 25. What is the value of x?

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

Solution

Mean = (10 + 20 + 30 + x) / 4 = 25. Solving gives x = 50.

Correct Answer: C — 40

Learn More →

Q. The average of 4, 6, 8, and x is 7. What is the value of x?

A. 6
B. 8
C. 10
D. 12

Solution

Mean = (4 + 6 + 8 + x) / 4 = 7.\n\n18 + x = 28\n\nx = 28 - 18 = 10.

Correct Answer: C — 10

Learn More →

Q. The average of five consecutive integers is 12. What is the smallest of these integers?

A. 10
B. 11
C. 12
D. 13

Solution

Let the integers be x, x+1, x+2, x+3, x+4.\n\nMean = (5x + 10) / 5 = 12\n\n5x + 10 = 60\n\n5x = 50\n\nx = 10.

Correct Answer: B — 11

Learn More →

Q. The average of five numbers is 20. If one number is excluded, the average of the remaining numbers becomes 18. What is the excluded number?

A. 22
B. 24
C. 20
D. 18

Solution

Total of five numbers = 5 * 20 = 100. Total of remaining four = 4 * 18 = 72. Excluded number = 100 - 72 = 28.

Correct Answer: A — 22

Learn More →

Q. The average of three numbers is 15. If one number is increased by 5, what will be the new average?

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

Solution

Total of three numbers = 3 * 15 = 45.\n\nNew total = 45 + 5 = 50.\n\nNew average = 50 / 3 = 16.67.

Correct Answer: B — 16

Learn More →

Q. The average of two numbers is 30. If one number is 20, what is the other number?

A. 40
B. 50
C. 60
D. 70

Solution

Mean = (20 + x) / 2 = 30.\n\n20 + x = 60\n\nx = 60 - 20 = 40.

Correct Answer: A — 40

Learn More →

Q. The following data represents the number of books read by students in a month: 1, 2, 2, 3, 3, 3, 4, 4, 5. What is the mode?

A. 1
B. 2
C. 3
D. 4

Solution

The mode is 3, as it appears most frequently (3 times) in the data set.

Correct Answer: C — 3

Learn More →

Q. The following data represents the number of books read by students in a month: 4, 5, 6, 5, 4, 5, 7, 8, 5. What is the mode?

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

Solution

The mode is 5, as it appears 4 times, more than any other number.

Correct Answer: B — 5

Learn More →

Q. The following data set has the numbers: 2, 3, 4, 4, 5, 5, 5, 6, 7. What is the mode of this data set? (2020)

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

Solution

The number 5 appears most frequently (3 times), so the mode is 5.

Correct Answer: B — 5

Learn More →

Showing 91 to 120 of 165 (6 Pages)

Statistics & Probability

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?