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Statistics & Probability

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Q. If the probability of an event occurring is 0.3, what is the probability of it not occurring? (2023)
  • A. 0.3
  • B. 0.7
  • C. 0.5
  • D. 0.1
Q. If the range of a data set is 20 and the minimum value is 10, what is the maximum value? (2023)
  • A. 30
  • B. 20
  • C. 10
  • D. 40
Q. If the range of a data set is 20 and the minimum value is 5, what is the maximum value? (2023)
  • A. 15
  • B. 20
  • C. 25
  • D. 30
Q. If the standard deviation of a population is 7, what is the variance? (2022)
  • A. 14
  • B. 21
  • C. 49
  • D. 56
Q. If the standard deviation of a set of numbers is 3, what is the variance? (2020)
  • A. 6
  • B. 9
  • C. 12
  • D. 15
Q. If the variance of a data set is 16, what is the range of the data if the minimum value is 0? (2023)
  • A. 8
  • B. 16
  • C. 4
  • D. 12
Q. If the variance of a population is 16, what is the standard deviation? (2023)
  • A. 4
  • B. 8
  • C. 16
  • D. 2
Q. If the variance of a population is 25, what is the standard deviation? (2022)
  • A. 5
  • B. 10
  • C. 15
  • D. 20
Q. If the variance of a sample is 25, what is the standard deviation? (2023)
  • A. 5
  • B. 10
  • C. 15
  • D. 20
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
Q. In a class of 30 students, 18 are boys and 12 are girls. If one student is selected at random, what is the probability that the student is a girl?
  • A. 2/5
  • B. 1/3
  • C. 1/2
  • D. 3/5
Q. In a class of 30 students, 18 are boys. What is the probability that a randomly selected student is a girl?
  • A. 1/3
  • B. 2/5
  • C. 1/2
  • D. 3/5
Q. In a class of 30 students, the average height is 160 cm. If the height of one student is 170 cm, what is the new average height after removing that student?
  • A. 159 cm
  • B. 160 cm
  • C. 161 cm
  • D. 162 cm
Q. In a class of 30 students, the marks obtained are as follows: 45, 50, 50, 55, 60, 60, 60, 70, 75. What is the mode of the marks? (2019)
  • A. 50
  • B. 60
  • C. 70
  • D. 75
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
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
Q. In a class, the ages of students are: 10, 12, 10, 11, 12, 10, 13. What is the mode of the ages?
  • A. 10
  • B. 11
  • C. 12
  • D. 13
Q. In a class, the marks obtained by students are: 45, 50, 50, 55, 60, 60, 60. What is the mode?
  • A. 45
  • B. 50
  • C. 55
  • D. 60
Q. In a class, the marks obtained by students are: 45, 55, 45, 60, 55, 45, 70. What is the mode of the marks?
  • A. 45
  • B. 55
  • C. 60
  • D. 70
Q. In a class, the marks obtained by students are: 45, 55, 45, 60, 70, 55, 55. What is the mode of the marks?
  • A. 45
  • B. 55
  • C. 60
  • D. 70
Q. In a class, the number of languages spoken by students are: 1, 2, 2, 3, 3, 4, 4, 4. What is the mode?
  • A. 1
  • B. 2
  • C. 3
  • D. 4
Q. In a class, the number of pets owned by students is recorded as follows: 0, 1, 2, 1, 3, 1, 2. What is the mode?
  • A. 0
  • B. 1
  • C. 2
  • D. 3
Q. In a class, the number of students who scored the following grades: A, A, B, B, B, C, C, D. What is the mode?
  • A. A
  • B. B
  • C. C
  • D. D
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
Q. In a data set of 10 numbers, the mode is 5. If the number 5 is replaced by 7, what will be the new mode? (2021)
  • A. 5
  • B. 7
  • C. No mode
  • D. Cannot be determined
Q. In a data set of 10 numbers, the numbers are: 2, 3, 4, 4, 5, 5, 5, 6, 7, 8. What is the mode of this data set?
  • A. 2
  • B. 4
  • C. 5
  • D. 6
Q. In a data set of 12 values: 1, 1, 2, 2, 3, 3, 4, 5, 5, 5, 6, 7, what is the mode? (2023)
  • A. 1
  • B. 2
  • C. 5
  • D. No mode
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
Q. In a data set of the numbers 3, 7, 3, 9, 5, 3, 8, what is the mode?
  • A. 3
  • B. 5
  • C. 7
  • D. 9
Q. In a data set, the numbers 3, 7, 7, 2, 5, 7, 8, 9, 2, 3 are given. What is the mode of this data set?
  • A. 2
  • B. 3
  • C. 7
  • D. 9
Showing 151 to 180 of 345 (12 Pages)

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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