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September 2025 term · Statistics for Data Science II · BSMA1004

Statistics for Data Science II Quiz 1: 26 October 2025, Set 1 (September 2025 term)

The IIT Madras BS Statistics for Data Science II (Stats 2) Quiz 1 paper sat on 26 Oct 2025, in the September 2025 term, set 1: 28 questions for 48 marks in 120 minutes. Every question is below with its answer. Take it as a timed mock test to be marked, or read it through first.

Questions
28
Marks
48
Duration
120 min
MCQ
8
Written
20

Updated

Official paper: IIT M IMPROVEMENT AN EXAM QIE4 26 Oct · No negative marking.

Question 1

+1 markOne correct option

THIS IS QUESTION PAPER FOR THE SUBJECT "FOUNDATION LEVEL : STATISTICS FOR DATA SCIENCE II (COMPUTER BASED EXAM)" ARE YOU SURE YOU HAVE TO WRITE EXAM FOR THIS SUBJECT? CROSS CHECK YOUR HALL TICKET TO CONFIRM THE SUBJECTS TO BE WRITTEN. (IF IT IS NOT THE CORRECT SUBJECT, PLS CHECK THE SECTION AT THE TOP FOR THE SUBJECTS REGISTERED BY YOU)

  1. A

    YES

  2. B

    NO

Show answer

Correct answer

  • A

    YES

Question 2

+1 markOne correct option
Figure from the original question paper
Figure from the original question paper
  1. A

    Useful Data has been mentioned above.

  2. B

    This data attachment is just for a reference & not for an evaluation.

Show answer

Correct answer

  • A

    Useful Data has been mentioned above.

Question 3

+3 marksOne correct option
Figure from the original question paper
  1. A
    Figure from the original question paper
  2. B
    Figure from the original question paper
  3. C
    Figure from the original question paper
  4. D
    Figure from the original question paper
Show answer

Correct answer

  • D
    Figure from the original question paper

Question 4

+3 marksWritten answer
Figure from the original question paper
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A written answer, not marked automatically.

Question 5

+3 marksWritten answer
Figure from the original question paper
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Question 6

+3 marksWritten answer
Figure from the original question paper
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Question 7

+0.5 marksWritten answer
Figure from the original question paper
Figure from the original question paper
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Question 8

+0.5 marksWritten answer
Figure from the original question paper
Figure from the original question paper
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A written answer, not marked automatically.

Question 9

+0.5 marksWritten answer
Figure from the original question paper
Figure from the original question paper
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Question 10

+0.5 marksWritten answer
Figure from the original question paper
Figure from the original question paper
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Question 11

+0.5 marksWritten answer
Figure from the original question paper
Figure from the original question paper
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Question 12

+0.5 marksWritten answer
Figure from the original question paper
Figure from the original question paper
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Question 13

+2 marksOne correct option

Based on the above data, answer the given subquestions.

Based on the above data, answer the given subquestions.

Find the value of k.

  1. A
    Figure from the original question paper
  2. B
    Figure from the original question paper
  3. C
    Figure from the original question paper
  4. D
    Figure from the original question paper
Show answer

Correct answer

  • B
    Figure from the original question paper

Question 14

+3 marksWritten answer

Based on the above data, answer the given subquestions.

Based on the above data, answer the given subquestions.
Figure from the original question paper
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A written answer, not marked automatically.

Question 15

+3 marksOne correct option

Based on the above data, answer the given subquestions.

Based on the above data, answer the given subquestions.
Figure from the original question paper
  1. A

    0.20

  2. B

    0.30

  3. C

    0.45

  4. D

    0.25

Show answer

Correct answer

  • D

    0.25

Question 16

+2 marksWritten answer

Based on the above data, answer the given subquestions.

Based on the above data, answer the given subquestions.
Figure from the original question paper
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Question 17

+2 marksOne correct option

Based on the above data, answer the given subquestions.

Based on the above data, answer the given subquestions.

Using Markov’s inequality, find an upper bound on the probability that the processing time is at least 1.3 times its expected value.

  1. A
    Figure from the original question paper
  2. B
    Figure from the original question paper
  3. C
    Figure from the original question paper
  4. D
    Figure from the original question paper
Show answer

Correct answer

  • B
    Figure from the original question paper

Question 18

+3 marksWritten answer

Based on the above data, answer the given subquestions.

Based on the above data, answer the given subquestions.

Using Chebyshev’s inequality, find a lower bound on the probability that the processing time lies between 480 milliseconds and 520 milliseconds. Enter the answer correct to two decimal places.

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Question 19

+2 marksOne correct option

Based on the above data, answer the given subquestions.

Based on the above data, answer the given subquestions.

What is the range of Y ?

  1. A

    {0, 1, 2, 3, 4, 5, 6}

  2. B

    {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

  3. C

    {1, 2, 3, 4, 5, 6 }

  4. D

    { 2, 3, 4, 5, 6, 7, 8, 9}

Show answer

Correct answer

  • A

    {0, 1, 2, 3, 4, 5, 6}

Question 20

+3 marksWritten answer

Based on the above data, answer the given subquestions.

Based on the above data, answer the given subquestions.
Figure from the original question paper
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A written answer, not marked automatically.

Question 21

+3 marksWritten answer

Based on the above data, answer the given subquestions.

Based on the above data, answer the given subquestions.
Figure from the original question paper
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A written answer, not marked automatically.

Question 22

+2 marksOne correct option

Based on the above data, answer the given subquestions.

Based on the above data, answer the given subquestions.
Figure from the original question paper
  1. A
    Figure from the original question paper
  2. B
    Figure from the original question paper
  3. C
    Figure from the original question paper
  4. D
    Figure from the original question paper
Show answer

Correct answer

  • B
    Figure from the original question paper

Question 23

+1 markWritten answer
Figure from the original question paper
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A written answer, not marked automatically.

Question 24

+1 markWritten answer

Based on the above data, answer the given subquestions.

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

A written answer, not marked automatically.

Question 25

+1 markWritten answer

Based on the above data, answer the given subquestions.

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

A written answer, not marked automatically.

Question 26

+1 markWritten answer

Based on the above data, answer the given subquestions.

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

A written answer, not marked automatically.

Question 27

+1 markWritten answer

Based on the above data, answer the given subquestions.

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

A written answer, not marked automatically.

Question 28

+1 markWritten answer

Based on the above data, answer the given subquestions.

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

A written answer, not marked automatically.