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Statistics & Probability

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Q. In a data set, if the mean is 50 and the sum of all values is 500, how many values are there?
  • A. 8
  • B. 9
  • C. 10
  • D. 11
Q. In a data set, if the mode is 15 and the mean is 20, what can be said about the data?
  • A. Positively skewed
  • B. Negatively skewed
  • C. Symmetrical
  • D. Uniform
Q. In a data set, if the values are 2, 4, 4, 4, 5, 5, 7, what is the mode?
  • A. 4
  • B. 5
  • C. 2
  • D. 7
Q. In a data set, the mean is 10 and the standard deviation is 2. What is the coefficient of variation?
  • A. 20%
  • B. 10%
  • C. 5%
  • D. 15%
Q. In a data set, the mean is 20 and the median is 18. What can be inferred about the data?
  • A. Skewed right
  • B. Skewed left
  • C. Symmetric
  • D. Uniform
Q. In a data set, the mean is 20 and the median is 18. What can be said about the data?
  • A. Positively skewed
  • B. Negatively skewed
  • C. Symmetrical
  • D. Uniform
Q. In a data set, the mean is 20 and the standard deviation is 4. What is the coefficient of variation?
  • A. 20%
  • B. 15%
  • C. 10%
  • D. 5%
Q. In a data set, the mean is 50 and the number of observations is 10. What is the sum of all observations?
  • A. 400
  • B. 500
  • C. 600
  • D. 700
Q. In a data set, the values are: 1, 2, 3, 4, 5. What is the interquartile range?
  • A. 1
  • B. 2
  • C. 3
  • D. 4
Q. In a deck of 52 cards, what is the probability of drawing a heart given that the card drawn is a red card?
  • A. 1/2
  • B. 1/4
  • C. 1/3
  • D. 1/5
Q. In a deck of cards, what is the probability of drawing a heart given that the card drawn is a red card?
  • A. 1/2
  • B. 1/4
  • C. 1/3
  • D. 1/5
Q. In a family of 4 children, what is the probability that at least one is a girl given that there are at least 2 boys?
  • A. 1/2
  • B. 3/4
  • C. 1/4
  • D. 2/3
Q. In a family with 3 children, what is the probability that at least one child is a girl given that at least one child is a boy?
  • A. 0.75
  • B. 0.5
  • C. 0.25
  • D. 0.6
Q. In a frequency distribution, if the class intervals are 0-10, 10-20, 20-30 and their frequencies are 5, 10, 15, what is the mode?
  • A. 10
  • B. 20
  • C. 30
  • D. 15
Q. In a frequency distribution, if the class intervals are 0-10, 10-20, 20-30 and their frequencies are 5, 10, 15 respectively, what is the mode?
  • A. 10
  • B. 15
  • C. 20
  • D. 25
Q. In a frequency distribution, if the class intervals are 0-10, 10-20, 20-30, and the frequencies are 5, 10, 15 respectively, what is the mode?
  • A. 10
  • B. 20
  • C. 30
  • D. None of the above
Q. In a frequency distribution, if the class intervals are 0-10, 10-20, and 20-30 with frequencies 5, 10, and 15 respectively, what is the mode?
  • A. 10
  • B. 20
  • C. 30
  • D. No mode
Q. In a frequency distribution, if the mode is 10 and appears 15 times, what can be said about the data?
  • A. It is uniform
  • B. It is bimodal
  • C. It is unimodal
  • D. It is multimodal
Q. In a frequency distribution, if the mode is 10 and the highest frequency is 15, what can be said about the data?
  • A. It is uniform
  • B. It is bimodal
  • C. It is unimodal
  • D. It is multimodal
Q. In a frequency distribution, if the mode is 10 and the highest frequency is 5, what can be said about the data?
  • A. It is uniform
  • B. It is bimodal
  • C. It is unimodal
  • D. It is multimodal
Q. In a frequency distribution, if the mode is 12 and the frequency of 12 is 10, what can be inferred about the data?
  • A. Data is uniform
  • B. Data is skewed
  • C. Data has multiple modes
  • D. Data is bimodal
Q. In a group of 100 people, 60 like cricket, 30 like football, and 10 like both. What is the probability that a person likes football given that they like cricket?
  • A. 1/6
  • B. 1/3
  • C. 1/2
  • D. 1/4
Q. In a group of 100 people, 60 like football, 30 like basketball, and 10 like both. What is the probability that a person likes football given that they like basketball?
  • A. 0.5
  • B. 0.3
  • C. 0.6
  • D. 0.7
Q. In a group of 50 people, 20 are smokers and 30 are non-smokers. If a person is selected at random, what is the probability that the person is a non-smoker given that they are not a smoker?
  • A. 1
  • B. 0
  • C. 1/2
  • D. 1/3
Q. In a group of 50 people, 30 like tea, 20 like coffee, and 10 like both. What is the probability that a randomly selected person likes either tea or coffee?
  • A. 0.4
  • B. 0.6
  • C. 0.5
  • D. 0.7
Q. In a lottery, 10 tickets are sold. If you buy 1 ticket, what is the probability of winning?
  • A. 1/10
  • B. 1/5
  • C. 1/2
  • D. 1/20
Q. In a lottery, there are 10 tickets, and 3 of them are winning tickets. If one ticket is drawn at random, what is the probability that it is a winning ticket?
  • A. 1/10
  • B. 1/3
  • C. 3/10
  • D. 7/10
Q. In a lottery, there are 10 tickets, and 3 of them are winning tickets. What is the probability of selecting a winning ticket?
  • A. 1/10
  • B. 3/10
  • C. 1/3
  • D. 1/5
Q. In a lottery, there are 10 tickets, of which 2 are winning tickets. What is the probability of selecting a winning ticket?
  • A. 1/5
  • B. 1/10
  • C. 1/2
  • D. 2/10
Q. In a lottery, there are 10 tickets, of which 3 are winning tickets. What is the probability of selecting a winning ticket?
  • A. 1/10
  • B. 1/3
  • C. 3/10
  • D. 7/10
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Statistics & Probability MCQ & Objective Questions

Statistics and Probability are crucial subjects in the academic journey of Indian students, especially when preparing for school exams and competitive tests. Mastering these topics not only enhances analytical skills but also boosts confidence in tackling various types of questions. Practicing MCQs and objective questions is an effective way to solidify your understanding and improve your exam scores. Engaging with practice questions helps identify important concepts and prepares you for the types of questions you will encounter in exams.

What You Will Practise Here

  • Understanding basic concepts of Statistics and Probability
  • Key formulas for calculating mean, median, mode, and standard deviation
  • Probability rules and their applications in real-life scenarios
  • Graphical representation of data using histograms and pie charts
  • Interpreting data sets and drawing conclusions
  • Common distributions: Binomial, Normal, and Poisson
  • Solving real-world problems using statistical methods

Exam Relevance

Statistics and Probability are integral parts of the curriculum for CBSE, State Boards, NEET, and JEE. These topics frequently appear in various formats, including direct questions, application-based problems, and data interpretation tasks. Students can expect to encounter MCQs that test their understanding of concepts, calculations, and the ability to apply statistical methods to solve problems. Familiarity with common question patterns will significantly enhance your performance in these exams.

Common Mistakes Students Make

  • Confusing mean, median, and mode, leading to incorrect answers
  • Misapplying probability rules, especially in compound events
  • Overlooking the importance of units in statistical calculations
  • Failing to interpret graphs and charts accurately
  • Neglecting to practice word problems that require a deeper understanding of concepts

FAQs

Question: What are the key formulas I should remember for Statistics and Probability?
Answer: Important formulas include those for calculating mean, median, mode, variance, and standard deviation, as well as probability formulas like P(A and B) and P(A or B).

Question: How can I improve my accuracy in Statistics and Probability MCQs?
Answer: Regular practice with objective questions, reviewing common mistakes, and understanding the underlying concepts will enhance your accuracy.

Start your journey towards mastering Statistics and Probability today! Solve practice MCQs and test your understanding to ensure you are well-prepared for your exams. Your success is just a question away!

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