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May 2025 term · Statistics for Data Science I · BSMA1002

Statistics for Data Science I End Term: 31 August 2025, Set QDF3 (May 2025 term)

The IIT Madras BS Statistics for Data Science I (Stats 1) End Term paper sat on 31 Aug 2025, in the May 2025 term, set QDF3: 15 questions for 40 marks in 180 minutes. Every question is below with its answer. Take it as a timed mock test to be marked, or read it through first.

Questions
15
Marks
40
Duration
180 min
MCQ
4
MSQ
2
Numerical
9
Take as mock testPractise with answers

Updated

Official paper: IIT M FOUNDATION AN EXAM QDF3 31 Aug 2025 · No negative marking.

Question 1

+2 marksOne correct option

Find the number of rearrangements of the letters in the word COMMITTEE.

  1. A
  2. B
  3. C
  4. D
Show answer

Correct answer

  • D
Question 1 on its own page

Question 2

+2 marksOne correct option
  1. A

    0.6

  2. B

    0.8

  3. C

    0.2

  4. D

    1

Show answer

Correct answer

  • B

    0.8

Question 2 on its own page

Question 3

+2 marksOne or more correct options

Select all that apply.

  1. A
  2. B
  3. C
  4. D
Show answer

Correct answers

  • B
  • C
Question 3 on its own page

Question 4

+2 marksOne or more correct options

Which of the following statement(s) is/are incorrect?

Select all that apply.

  1. A

    The annual income of 1000 individuals surveyed for year 2024 is an example of time-series data.

  2. B

    The brand of a smartphone used by students is a categorical variable.

  3. C

    Educational qualifications such as elementary, secondary, and higher secondary has an ordinal scale of measurement.

  4. D

    Making predictions about population behavior based on sample data is a part of Descriptive Statistics.

Show answer

Correct answers

  • A

    The annual income of 1000 individuals surveyed for year 2024 is an example of time-series data.

  • D

    Making predictions about population behavior based on sample data is a part of Descriptive Statistics.

Question 4 on its own page

Question 5

+3 marksNumerical answer
Show answer

Correct answer: 7

Question 5 on its own page

Question 6

+3 marksNumerical answer
Show answer

Correct answer: 1.67 (accepted within ±0.02)

Question 6 on its own page

Question 7

+3 marksNumerical answer

The number of vehicles passing through a highway toll booth in a minute follows a Poisson distribution with mean λ = 4. Find the probability that at most two vehicle pass through highway toll booth in a minute. Enter the answer correct to two decimal places. (Use : e⁴ = 54.60, e^(1/4) = 1.28, e⁻⁴ = 0.02, e^(-1/4) = 0.78)

Show answer

Correct answer: 0.26

Question 7 on its own page

Question 8

+3 marksNumerical answer
Show answer

Correct answer: 0.7

Question 8 on its own page

Question 9

+3 marksNumerical answer

Consider the dataset 10, 27, 32, 15 and 22. If we subtract 3 from all observations, find the difference between IQR of the new dataset and the old dataset.

Show answer

Correct answer: 0

Question 9 on its own page

Question 10

+1 markOne correct option

Based on the above data, answer the given subquestions.

Find the range of X.

  1. A

    {20, 10, 30, 40}

  2. B

    {−20, 10, 30, 40}

  3. C

    {−20, 0, 10, 30, 40}

  4. D

    {0, 10, 20, 30, 40}

Show answer

Correct answer

  • B

    {−20, 10, 30, 40}

Question 10 on its own page

Question 11

+4 marksOne correct option

Based on the above data, answer the given subquestions.

Find the PMF of X.

  1. A
  2. B
  3. C
  4. D
Show answer

Correct answer

  • D
Question 11 on its own page

Question 12

+3 marksNumerical answer

Based on the above data, answer the given subquestions.

Find the value of a.

Show answer

Correct answer: 6

Question 12 on its own page

Question 13

+2 marksNumerical answer

Based on the above data, answer the given subquestions.

Show answer

Correct answer: 0.75

Question 13 on its own page

Question 14

+3 marksNumerical answer

A box contains 4 red balls and 5 blue balls. Three balls are drawn at random without replacement. Based on the above data, answer the given subquestions.

What is the probability that all three balls drawn are of the same colour? Enter the answer correct to two decimal places.

Show answer

Correct answer: 0.17 (accepted within ±0.03)

Question 14 on its own page

Question 15

+4 marksNumerical answer

A box contains 4 red balls and 5 blue balls. Three balls are drawn at random without replacement. Based on the above data, answer the given subquestions.

Let X denote the number of red balls selected. Find the value of P(X = 3 | X ≥ 1) Enter the answer correct to two decimal places.

Show answer

Correct answer: 0.05 (accepted within ±0.03)

Question 15 on its own page