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May 2026 term · Statistics for Data Science II · BSMA1004

Statistics for Data Science II End Term: 13 September 2026, Set 1 (May 2026 term)

The IIT Madras BS Statistics for Data Science II (Stats 2) End Term paper sat on 13 Sept 2026, in the May 2026 term, set 1: 16 questions for 37 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
16
Marks
37
Duration
180 min
MSQ
1
Numerical
13
MCQ
2
Take as mock testPractise with answers

Updated

Official paper: Statistics2 13 Sep 26 (Session 2) · No negative marking.

Question 1

+3 marksOne or more correct options

A company manufactures batteries and claims that the standard deviation of the operating life of a battery is 4 hours. The quality control manager suspects that the actual variability is higher than the claimed value. A random sample of 17 batteries gave a sample standard deviation of 6 hours. Choose the correct set of option(s).

Select all that apply.

  1. A
  2. B

    (A figure from the original paper is missing from the source site.)

  3. C

    We accept company's claim at 5% level of significance.

  4. D

    We reject company's claim at 5% level of significance.

Show answer

Correct answers

  • A
  • D

    We reject company's claim at 5% level of significance.

Question 1 on its own page

Question 2

+3 marksNumerical answer

Find the value of

Enter your answer correct to three decimal places.

Show answer

Correct answer: 0.125

Question 2 on its own page

Question 3

+3 marksNumerical answer
Show answer

Correct answer: 0.42 (accepted within ±0.03)

Question 3 on its own page

Question 4

+0.5 marksNumerical answer

Answer the given sub-questions. Note : Enter only the correct option number (e.g. 8) without any brackets or punctuation.

Show answer

Correct answer: 2

Question 4 on its own page

Question 5

+0.5 marksNumerical answer

Answer the given sub-questions. Note : Enter only the correct option number (e.g. 8) without any brackets or punctuation.

Show answer

Correct answer: 6

Question 5 on its own page

Question 6

+1 markNumerical answer

Answer the given sub-questions. Note : Enter only the correct option number (e.g. 8) without any brackets or punctuation.

Show answer

Correct answer: 8

Question 6 on its own page

Question 7

+1 markNumerical answer

Answer the given sub-questions. Note : Enter only the correct option number (e.g. 8) without any brackets or punctuation.

Show answer

Correct answer: 0.67 (accepted within ±0.03)

Question 7 on its own page

Question 8

+2 marksNumerical answer

Based on the above data, answer the given subquestions.

Show answer

Correct answer: 0.5

Question 8 on its own page

Question 9

+3 marksNumerical answer

Based on the above data, answer the given subquestions.

Show answer

Correct answer: 4

Question 9 on its own page

Question 10

+3 marksNumerical answer

Based on the above data, answer the given subquestions.

Given that a randomly selected component has a lifetime of more than 2 hours, what is the probability that its lifetime is less than 3 hours? Enter the answer correct to two decimal places.

Show answer

Correct answer: 0.42 (accepted within ±0.03)

Question 10 on its own page

Question 11

+2 marksOne correct option

Which of the following statements is correct?

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

Correct answer

  • C
Question 11 on its own page

Question 12

+3 marksNumerical answer
Show answer

Correct answer: 25

Question 12 on its own page

Question 13

+2 marksNumerical answer
Show answer

Correct answer: 0.026 (accepted within ±0.003)

Question 13 on its own page

Question 14

+3 marksNumerical answer
Show answer

Correct answer: 0.6

Question 14 on its own page

Question 15

+2 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 15 on its own page

Question 16

+3 marksNumerical answer

. Based on the above data, answer the given subquestions.

Show answer

Correct answer: 38

Question 16 on its own page