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May 2026 term · Statistics for Data Science I · BSMA1002

Statistics for Data Science I End Term: 13 September 2026 (May 2026 term)

The IIT Madras BS Statistics for Data Science I (Stats 1) End Term paper sat on 13 Sept 2026, in the May 2026 term: 15 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
15
Marks
37
Duration
180 min
MCQ
4
Numerical
10
MSQ
1
Take as mock testPractise with answers

Updated

Official paper: Statistics1 13 Sep 26 · No negative marking.

Question 1

+2 marksOne correct option

Match the following Datasets with their correct Category, as shown in Table 1:

  1. A

    (P)-(3), (Q)-(2), (R)-(1), (S)-(4)

  2. B

    (P)-(2), (Q)-(3), (R)-(4), (S)-(1)

  3. C

    (P)-(2), (Q)-(3), (R)-(1), (S)-(4)

  4. D

    (P)-(3), (Q)-(4), (R)-(2), (S)-(1)

Show answer

Correct answer

  • B

    (P)-(2), (Q)-(3), (R)-(4), (S)-(1)

Question 1 on its own page

Question 2

+1 markNumerical answer

The following stem-and-leaf plot shows the ages (in years) of a group of people in a survey.

Based on the above data, answer the given subquestions.

Find the median age of the group.

Show answer

Correct answer: 34

Question 2 on its own page

Question 3

+2 marksNumerical answer

The following stem-and-leaf plot shows the ages (in years) of a group of people in a survey.

Based on the above data, answer the given subquestions.

Find the Inter quartile Range (IQR) of the ages.

Show answer

Correct answer: 19

Question 3 on its own page

Question 4

+3 marksOne correct option

A small manufacturing unit has 7 employees: 5 labourers earning Rs. 4000 each per month and 2 supervisors earning Rs. 18,000 each per month.
Determine the mean, median, and mode of the monthly salaries of all employees in the unit.

  1. A

    Mean = 8000, Median = 4000, Mode = 4000

  2. B

    Mean = 8000, Median = 18,000, Mode = 4000

  3. C

    Mean = 7000, Median = 4000, Mode = 18,000

  4. D

    Mean = 8000, Median = 4000, Mode = 18,000

Show answer

Correct answer

  • A

    Mean = 8000, Median = 4000, Mode = 4000

Question 4 on its own page

Question 5

+3 marksOne correct option
  1. A

    44

  2. B

    48

  3. C

    52

  4. D

    56

Show answer

Correct answer

  • B

    48

Question 5 on its own page

Question 6

+3 marksOne correct option

The lifetime of a light bulb follows an exponential distribution with an expected lifetime of 8 hours. What is the probability that the bulb lasts more than 5 hours but less than 12 hours?

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

Correct answer

  • B
Question 6 on its own page

Question 7

+3 marksNumerical answer
Show answer

Correct answer: -2

Question 7 on its own page

Question 8

+3 marksNumerical answer

The chance that a student will clear the quiz-1 paper is 0.38 and the chance that he will clear both quiz-1 and quiz-2 papers is 0.25. The chance that he will clear at least one quiz paper is 0.53. What is the chance that he will clear quiz-2 paper? Enter the answer correct to one decimal place.

Show answer

Correct answer: 0.4

Question 8 on its own page

Question 9

+3 marksNumerical answer

In an online degree program, 60% of the students are full-time, the rest are part-time. 50% of full-time and 20% of part-time students attend all live sessions. If a student attends all live sessions, find the probability that the student is part-time. Enter the answer correct to two decimal places.

Show answer

Correct answer: 0.21 (accepted within ±0.03)

Question 9 on its own page

Question 10

+2 marksNumerical answer

Based on the given information, answer the sub-questions:

Find the probability that exactly 1 defective item is found in the batch. Enter the answer correct to one decimal place.

Show answer

Correct answer: 0.3

Question 10 on its own page

Question 11

+2 marksNumerical answer

Based on the given information, answer the sub-questions:

Find the probability that at most 2 defective items are found in the batch. Enter the answer correct to one decimal place.

Show answer

Correct answer: 0.8

Question 11 on its own page

Question 12

+2 marksNumerical answer

A bowler takes wickets following a binomial distribution. The expected number of wickets is 1.8 and variance is 1.26.
Based on the above data, answer the given subquestions.

Find the number of balls bowled.

Show answer

Correct answer: 6

Question 12 on its own page

Question 13

+2 marksNumerical answer

A bowler takes wickets following a binomial distribution. The expected number of wickets is 1.8 and variance is 1.26.
Based on the above data, answer the given subquestions.

Find the probability that he takes at least one wicket. Enter the answer correct to two decimal places.

Show answer

Correct answer: 0.88 (accepted within ±0.01)

Question 13 on its own page

Question 14

+4 marksNumerical answer

A box contains 9 white and 6 black balls. 2 balls are drawn at random without replacement. Find the expected value of the number of white balls drawn. Enter the answer correct to two decimal places.

Show answer

Correct answer: 1.2 (accepted within ±0.03)

Question 14 on its own page

Question 15

+2 marksOne or more correct options

Which of the following statements is/are correct?

Select all that apply.

  1. A
  2. B

    Standard deviation of a random variable has the same units as the units of a random variable.

  3. C

    Standard deviation of a random variable cannot have the same units as the expectation of a random variable.

  4. D
Show answer

Correct answers

  • B

    Standard deviation of a random variable has the same units as the units of a random variable.

  • D
Question 15 on its own page