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May 2025 term · Statistics for Data Science I · BSMA1002

Statistics for Data Science I End Term: 31 August 2025, Set QDF1 (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 QDF1: 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
2
MSQ
3
Numerical
10
Take as mock testPractise with answers

Updated

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

Question 1

+3 marksOne correct option

Consider the dataset 10, 27, 32, 15 and 22. A new dataset is obtained by subtracting 3 from every observation.
Compute the value of (70*^(th)* percentile of new dataset) - (30*^(th)* percentile of the old dataset).

  1. A

    -3

  2. B

    9

  3. C

    3

  4. D

    -9

Show answer

Correct answer

  • B

    9

Question 1 on its own page

Question 2

+1 markOne or more correct options

Which of the following statements is/are true?

Select all that apply.

  1. A

    Median can be measured for a categorical variable only if the variable is nominal.

  2. B

    Mode can not be defined for categorical data.

  3. C

    There can be more than one mode for a data.

  4. D

    The sum of relative frequencies of all the observations in a given data set is always equal to 1.

Show answer

Correct answers

  • C

    There can be more than one mode for a data.

  • D

    The sum of relative frequencies of all the observations in a given data set is always equal to 1.

Question 2 on its own page

Question 3

+3 marksOne or more correct options

Select all that apply.

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

Correct answers

  • A
  • E
Question 3 on its own page

Question 4

+3 marksOne or more correct options

Select all that apply.

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

Correct answers

  • A
  • B
  • C
Question 4 on its own page

Question 5

+3 marksNumerical answer
Show answer

Correct answer: 10

Question 5 on its own page

Question 6

+3 marksNumerical answer
Show answer

Correct answer: 0.6 (accepted within ±0.1)

Question 6 on its own page

Question 7

+3 marksNumerical answer
Show answer

Correct answer: 60

Question 7 on its own page

Question 8

+3 marksNumerical answer

If two fair dice are thrown, what is the probability that the sum is either 4 or 9? Enter the answer correct to two decimal places.

Show answer

Correct answer: 0.19 (accepted within ±0.02)

Question 8 on its own page

Question 9

+3 marksNumerical answer
Show answer

Correct answer: 0.76 (accepted within ±0.03)

Question 9 on its own page

Question 10

+2 marksNumerical answer

Based on the above data, answer the given subquestions.

Find the value of c such that X has a valid pmf. Enter the answer correct to one decimal place.

Show answer

Correct answer: 0.2

Question 10 on its own page

Question 11

+3 marksNumerical answer

Based on the above data, answer the given subquestions.

Find the value of Var(X). Enter the answer correct to two decimal places.

Show answer

Correct answer: 0.76 (accepted within ±0.03)

Question 11 on its own page

Question 12

+3 marksOne correct option

Based on the above data, answer the given subquestions.

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

Correct answer

  • B
Question 12 on its own page

Question 13

+2 marksNumerical answer

Based on the above data, answer the given subquestions.

Show answer

Correct answer: 2

Question 13 on its own page

Question 14

+2 marksNumerical answer

Based on the above data, answer the given subquestions.

What is the probability that a randomly selected box contains at most 1 defective item? Enter the answer correct to one decimal place.

Show answer

Correct answer: 0.3

Question 14 on its own page

Question 15

+3 marksNumerical answer

Based on the above data, answer the given subquestions.

Show answer

Correct answer: 22

Question 15 on its own page