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Q. The average of five consecutive integers is 12. What is the smallest of these integers?
  • A. 10
  • B. 11
  • C. 12
  • D. 13
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
Q. The average of five numbers is 20. If one number is removed, the average becomes 18. What is the number removed?
  • A. 22
  • B. 24
  • C. 20
  • D. 18
Q. The average of three consecutive integers is 20. What are the integers?
  • A. 19, 20, 21
  • B. 18, 19, 20
  • C. 20, 21, 22
  • D. 17, 18, 19
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
Q. The average of three numbers is 40. If the first number is increased by 10, what will be the new average?
  • A. 42
  • B. 43
  • C. 44
  • D. 45
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
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
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
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
Q. The following data set represents the ages of participants in a survey: 22, 25, 22, 30, 25, 22, 28. What is the mode?
  • A. 22
  • B. 25
  • C. 28
  • D. 30
Q. The following data set shows the number of pets owned by families: 2, 3, 2, 4, 3, 2, 5. What is the mode?
  • A. 2
  • B. 3
  • C. 4
  • D. 5
Q. The following data shows the number of goals scored by a team in 7 matches: 1, 2, 2, 3, 2, 4, 5. What is the mode?
  • A. 1
  • B. 2
  • C. 3
  • D. 4
Q. The following data shows the number of pets owned by families: 0, 1, 1, 2, 2, 2, 3, 4. What is the mode?
  • A. 0
  • B. 1
  • C. 2
  • D. 3
Q. The following data shows the number of pets owned by families: 1, 1, 2, 2, 3, 3, 3, 4. What is the mode?
  • A. 1
  • B. 2
  • C. 3
  • D. 4
Q. The following numbers are given: 8, 3, 5, 12, 7. What is the median?
  • A. 5
  • B. 7
  • C. 8
  • D. 12
Q. The following numbers represent the number of books read by students: 1, 2, 2, 3, 4, 4, 4, 5. What is the mode?
  • A. 2
  • B. 3
  • C. 4
  • D. 5
Q. The following numbers represent the number of books read by students: 5, 3, 5, 2, 5, 4, 3. What is the mode?
  • A. 2
  • B. 3
  • C. 4
  • D. 5
Q. The following numbers represent the number of games won by a team in a season: 5, 6, 6, 7, 8, 8, 8, 9. What is the mode?
  • A. 5
  • B. 6
  • C. 7
  • D. 8
Q. The following numbers represent the number of goals scored by a team in 10 matches: 1, 2, 2, 3, 3, 3, 4, 4, 5. What is the mode?
  • A. 2
  • B. 3
  • C. 4
  • D. 5
Q. The following numbers represent the number of hours studied by students: 1, 2, 2, 3, 3, 4, 4, 4, 5. What is the mode?
  • A. 2
  • B. 3
  • C. 4
  • D. 5
Q. The following numbers represent the number of hours studied by students: 5, 6, 5, 7, 8, 5, 6. What is the mode?
  • A. 5
  • B. 6
  • C. 7
  • D. 8
Q. The following numbers represent the number of hours studied by students: 5, 6, 6, 7, 8, 8, 8, 9, 10. What is the mode?
  • A. 6
  • B. 7
  • C. 8
  • D. 9
Q. The following numbers represent the number of languages spoken by individuals: 1, 2, 2, 3, 3, 3, 4, 5. What is the mode?
  • A. 1
  • B. 2
  • C. 3
  • D. 4
Q. The following numbers represent the number of pets owned by a group of people: 0, 1, 1, 2, 2, 2, 3. What is the mode?
  • A. 0
  • B. 1
  • C. 2
  • D. 3
Q. The following numbers represent the number of pets owned by families: 0, 1, 1, 2, 2, 2, 3, 4. What is the mode?
  • A. 0
  • B. 1
  • C. 2
  • D. 3
Q. The following numbers represent the scores of a game: 20, 30, 20, 40, 30, 30, 50. What is the mode?
  • A. 20
  • B. 30
  • C. 40
  • D. 50
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
Q. The following scores were obtained in a quiz: 10, 10, 20, 20, 20, 30, 30, 40. What is the mode?
  • A. 10
  • B. 20
  • C. 30
  • D. 40
Q. The following scores were recorded in a game: 10, 20, 10, 30, 20, 10, 40. What is the mode?
  • A. 10
  • B. 20
  • C. 30
  • D. 40
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Statistics & Probability MCQ & Objective Questions

Statistics and Probability are crucial subjects for students preparing for various school and competitive exams in India. Mastering these topics not only enhances your analytical skills but also boosts your confidence in tackling exam questions. Practicing MCQs and objective questions is an effective way to solidify your understanding and improve your performance in exams. By focusing on important questions and practice questions, you can ensure a thorough preparation strategy.

What You Will Practise Here

  • Fundamental concepts of Statistics including mean, median, and mode
  • Probability theory and its applications in real-life scenarios
  • Understanding and interpreting various types of data distributions
  • Key formulas related to permutations and combinations
  • Graphical representation of data through charts and histograms
  • Statistical measures of dispersion such as variance and standard deviation
  • Concepts of conditional probability and independent events

Exam Relevance

Statistics and Probability are integral parts of the curriculum for CBSE, State Boards, NEET, and JEE. These topics frequently appear in the form of MCQs, where students are tested on their ability to apply concepts to solve problems. Common question patterns include calculating probabilities, interpreting data sets, and applying statistical formulas. Familiarity with these question types can significantly enhance your exam readiness.

Common Mistakes Students Make

  • Confusing the concepts of mean, median, and mode
  • Misunderstanding the difference between independent and dependent events
  • Overlooking the importance of units when calculating probabilities
  • Failing to interpret graphs and charts accurately
  • Neglecting to practice problems involving permutations and combinations

FAQs

Question: What are the key formulas I should remember for Statistics and Probability?
Answer: Important formulas include those for mean, median, mode, variance, standard deviation, and the basic probability formula P(A) = Number of favorable outcomes / Total outcomes.

Question: How can I improve my accuracy in solving Statistics and Probability MCQs?
Answer: Regular practice of objective questions and understanding the underlying concepts will help improve your accuracy and speed in solving MCQs.

Start solving practice MCQs today to test your understanding of Statistics and Probability. The more you practice, the better prepared you will be for your exams. Let's ace those important Statistics & Probability questions together!

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