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Distribution in Data Science MCQs – Class 10 Data Science (419)

These Distribution in Data Science MCQs are based on the latest CBSE syllabus and board paper pattern and cover the chapter’s important concepts. Practice them to understand the exam-style questions, strengthen your preparation, and improve your speed and accuracy.

Q1. What is the role of a distribution in relation to probability?
a) It replaces probability completely
b) It helps visualize what is happening underneath probability
c) It eliminates variability
d) It determines the population


Q2. Every probability distribution is associated with a:
a) Table only
b) Graph
c) Database
d) Spreadsheet formula


Q3. Which outcome combinations are possible when tossing two coins?
a) Head-Head, Head-Tail, Tail-Head, Tail-Tail
b) Head-Head, Tail-Tail only
c) Head-Tail, Tail-Head only
d) Head-Head-Head, Tail-Tail-Tail


Q4. What does the graph associated with a probability distribution describe?
a) The cost of collecting data
b) The likelihood of occurrence of each event
c) The population size
d) The sample size only


Q5. What is the probability of obtaining Tail-Head when two coins are tossed?
a) 0.25
b) 0.5
c) 0.75
d) 1


Q6. What determines the types of distributions used in data science?
a) The size of the graph
b) The kind of data encountered
c) The number of variables only
d) The software used


Q7. Data that takes only specified values is called:
a) Continuous data
b) Discrete data
c) Variable data
d) Random data


Q8. Continuous data can take:
a) Only two values
b) Only integer values
c) Any value within a given range
d) Only specified values


Q9. Which of the following is an example of continuous data?
a) Pass/fail result
b) Weight of a person
c) Head/tail result
d) Number of specified outcomes


Q10. Which statement correctly differentiates discrete and continuous data?
a) Discrete data has a range; continuous data has fixed outcomes
b) Discrete data has specified values; continuous data can take any value within a range
c) Both always have only two outcomes
d) Both are always infinite


Q11. Which of the following may have a finite or infinite range?
a) Discrete data
b) Continuous data
c) Only categorical data
d) Only survey data


Q12. What is the primary purpose of the Statistical Problem-Solving Process?
a) To create graphs only
b) To collect and analyze data to answer statistical investigative questions
c) To calculate probability only
d) To eliminate all variability


Q13. How many major components are included in the Statistical Problem-Solving Process?
a) Two
b) Three
c) Four
d) Five


Q14. Which is the correct first step of the Statistical Problem-Solving Process?
a) Analyze the Data
b) Interpret the Data
c) Collect the Data
d) Formulate Statistical Investigative Questions


Q15. Which is the correct sequence?
a) Analyze → Collect → Formulate → Interpret
b) Formulate → Collect/Consider → Analyze → Interpret
c) Collect → Interpret → Analyze → Formulate
d) Interpret → Analyze → Collect → Formulate


Q16. Formulating statistical investigative questions can also be called:
a) Accounting for variability
b) Anticipating variability
c) Eliminating variability
d) Measuring variability


Q17. Which question is a statistical investigative question?
a) How tall is my plant?
b) What is the colour of my plant?
c) Do plants exposed to more sunlight grow faster?
d) Is this plant green?


Q18. Why is “How tall is the plant?” not considered a statistical investigative question?
a) It cannot be measured
b) It is answered with a single height
c) It requires a graph
d) It requires random sampling


Q19. Which of the following should be clear in a statistical investigative question?
a) Variables of interest
b) Population or group
c) Intent of the question
d) All of the above


Q20. A statistical question may be answered through:
a) Primary data only
b) Secondary data only
c) Primary or secondary data
d) Neither primary nor secondary data


Q21. The second component of the Statistical Problem-Solving Process is:
a) Interpret the Data
b) Analyze the Data
c) Collect/Consider the Data
d) Formulate Questions


Q22. Collect/Consider the Data can also be called:
a) Anticipating variability
b) Acknowledging variability while designing for differences
c) Accounting for variability
d) Allowing for variability


Q23. Why should we examine how data was collected?
a) To determine whether it is useful for answering the statistical investigative question
b) To change all values
c) To eliminate graphs
d) To make every outcome equal


Q24. The third component of the Statistical Problem-Solving Process is:
a) Collect the Data
b) Analyze the Data
c) Formulate Questions
d) Interpret the Results


Q25. Analyze the Data can also be called:
a) Anticipating variability
b) Acknowledging variability
c) Accounting for variability
d) Allowing for variability


Q26. The fourth component of the Statistical Problem-Solving Process is:
a) Interpret the Results
b) Collect the Data
c) Analyze the Data
d) Formulate Questions


Q27. Interpret Results can also be called:
a) Anticipating variability
b) Allowing for variability while looking beyond the data
c) Designing for differences
d) Accounting for variability


Q28. In the school dance activity, the initial statistical question was:
a) Which student likes music?
b) What type of music do the students in our grade like?
c) How many teachers like music?
d) Which class has the best music?


Q29. If one class is used as a sample for the entire school, what should be discussed?
a) The limitations of the chosen sample
b) Only the average
c) The colour of the graph
d) The number of questions


Q30. Assertion (A): A distribution helps visualize what is happening underneath probability.
Reason (R): Probability provides mathematical calculations, while distributions show probable values and how often they occur.

a) Both A and R are true, and R is the correct explanation of A.
b) Both A and R are true, but R is not the correct explanation of A.
c) A is true, but R is false.
d) A is false, but R is true.


Q31. Assertion (A): Weight of a person is an example of continuous data.
Reason (R): Continuous data can take any value within a given range.

a) Both A and R are true, and R is the correct explanation of A.
b) Both A and R are true, but R is not the correct explanation of A.
c) A is true, but R is false.
d) A is false, but R is true.


Q32. Assertion (A): “How tall is the plant?” is a statistical investigative question.
Reason (R): It can be answered with a single height.

a) Both A and R are true, and R is the correct explanation of A.
b) Both A and R are true, but R is not the correct explanation of A.
c) A is true, but R is false.
d) A is false, but R is true.


Q33. Assertion (A): Statistical interpretation should take variability into account.
Reason (R): Statistical interpretations are made in the presence of variability.

a) Both A and R are true, and R is the correct explanation of A.
b) Both A and R are true, but R is not the correct explanation of A.
c) A is true, but R is false.
d) A is false, but R is true.


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