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Statistics & Probability

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Statistics & Probability MCQ & Objective Questions

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

What You Will Practise Here

  • Fundamental concepts of Statistics including mean, median, and mode
  • Understanding probability theory and its applications
  • Key formulas related to permutations and combinations
  • Graphical representation of data through histograms and pie charts
  • Analysis of data sets and interpretation of results
  • Common distributions such as binomial and normal distributions
  • Real-life applications of Statistics and Probability in decision making

Exam Relevance

Statistics and Probability are integral parts of the curriculum for CBSE, State Boards, and competitive exams like NEET and JEE. Students can expect questions that test their understanding of concepts, calculations, and data interpretation. Common question patterns include multiple-choice questions that require quick thinking and application of formulas, making it essential to practice regularly. Familiarity with these topics can significantly enhance your performance in exams.

Common Mistakes Students Make

  • Confusing the concepts of mean, median, and mode
  • Misapplying probability rules, especially in conditional probability
  • Overlooking the importance of sample size in statistical analysis
  • Failing to interpret graphical data accurately
  • Neglecting to practice problems involving permutations and combinations

FAQs

Question: What are the key topics to focus on in Statistics and Probability for exams?
Answer: Focus on measures of central tendency, probability rules, and data interpretation, as these are frequently tested.

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

Start solving practice MCQs today to test your understanding and boost your confidence in Statistics and Probability. Remember, consistent practice is the key to success in your exams!

Q. If the mean of a data set is 30 and the total number of observations is 10, what is the total sum of the observations?
  • A. 300
  • B. 150
  • C. 100
  • D. 50
Q. If the mean of a data set is 50 and the standard deviation is 5, what is the z-score of a value 60?
  • A. 1
  • B. 2
  • C. 3
  • D. 4
Q. If the probability of an event is 0.2, what is the probability of the event not occurring?
  • A. 0.2
  • B. 0.5
  • C. 0.8
  • D. 1
Q. If the probability of an event occurring is 0.2, what is the probability of it not occurring?
  • A. 0.2
  • B. 0.5
  • C. 0.8
  • D. 1
Q. If two events A and B are independent, what is the probability of both A and B occurring?
  • A. P(A) + P(B)
  • B. P(A) * P(B)
  • C. P(A) - P(B)
  • D. P(A) / P(B)
Q. If you flip a fair coin three times, what is the probability of getting exactly two heads?
  • A. 1/8
  • B. 3/8
  • C. 3/4
  • D. 1/2
Q. If you have 4 different shirts and 3 different pairs of pants, how many different outfits can you create?
  • A. 12
  • B. 7
  • C. 10
  • D. 15
Q. If you have 4 different shirts and 3 different pants, how many outfits can you create?
  • A. 7
  • B. 10
  • C. 12
  • D. 15
Q. If you have 5 different books and want to select 2 to read, how many combinations are possible?
  • A. 10
  • B. 15
  • C. 20
  • D. 25
Q. If you have 6 different books and want to select 2 to read, how many combinations can you make?
  • A. 15
  • B. 30
  • C. 20
  • D. 25
Q. In a class, the grades are: 88, 92, 76, 85, 90. What is the mode?
  • A. 76
  • B. 85
  • C. 88
  • D. No mode
Q. In a class, the scores of 10 students are: 85, 90, 75, 80, 95, 70, 80, 85, 90, 100. What is the mean score?
  • A. 85
  • B. 80
  • C. 90
  • D. 75
Q. In a data set of 7, 8, 9, 10, 10, 10, 11, what is the mode?
  • A. 7
  • B. 8
  • C. 10
  • D. 11
Q. In a data set, if the mean is 50 and the standard deviation is 5, what is the z-score of a value 60?
  • A. 1
  • B. 2
  • C. 3
  • D. 4
Q. In a data set, the mode is 7. What does this indicate?
  • A. The average is 7
  • B. 7 appears most frequently
  • C. The median is 7
  • D. There are no repeated values
Q. In a data set, the mode is defined as what?
  • A. The average value
  • B. The middle value
  • C. The most frequently occurring value
  • D. The range of values
Q. In a data set, the mode is defined as which of the following?
  • A. The average value
  • B. The middle value
  • C. The most frequently occurring value
  • D. The range of values
Q. In a dataset of test scores: 70, 75, 80, 85, 90, what is the mean score?
  • A. 75
  • B. 80
  • C. 85
  • D. 90
Q. In a dataset of the ages of five siblings: 10, 12, 14, 16, and 18, what is the mean age?
  • A. 12
  • B. 14
  • C. 16
  • D. 10
Q. In a dataset of the following weights (in kg): 60, 70, 80, 90, 100, what is the median weight?
  • A. 70
  • B. 80
  • C. 90
  • D. 100
Q. In a dataset: 10, 20, 30, 40, 50, what is the median?
  • A. 20
  • B. 30
  • C. 40
  • D. 50
Q. In a dataset: 4, 4, 4, 5, 6, 7, what is the median?
  • A. 4
  • B. 5
  • C. 6
  • D. 7
Q. In a normal distribution, what percentage of data falls within one standard deviation of the mean?
  • A. 50%
  • B. 68%
  • C. 95%
  • D. 99.7%
Q. In a survey, the ages of participants are: 22, 25, 25, 30, 35. What is the mean age?
  • A. 25
  • B. 26
  • C. 27
  • D. 30
Q. In a survey, the number of pets owned by 6 families is: 1, 2, 2, 3, 4, 4. What is the mode?
  • A. 1
  • B. 2
  • C. 3
  • D. 4
Q. In how many different ways can you arrange 3 red balls and 2 blue balls?
  • A. 10
  • B. 30
  • C. 60
  • D. 5
Q. In how many ways can you choose 2 fruits from a selection of 5 different fruits?
  • A. 5
  • B. 10
  • C. 15
  • D. 20
Q. In how many ways can you choose 3 fruits from a basket of 10 different fruits?
  • A. 120
  • B. 720
  • C. 10
  • D. 1200
Q. In how many ways can you choose 4 toppings from a list of 10?
  • A. 210
  • B. 240
  • C. 300
  • D. 360
Q. In the data set 10, 12, 10, 14, 16, what is the mode?
  • A. 10
  • B. 12
  • C. 14
  • D. 16
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