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September 2025 term · Statistics for Data Science I · BSMA1002

Statistics for Data Science I Quiz 1: 26 October 2025 (September 2025 term)

The IIT Madras BS Statistics for Data Science I (Stats 1) Quiz 1 paper sat on 26 Oct 2025, in the September 2025 term: 15 questions for 40 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
15
Marks
40
Duration
120 min
MCQ
5
MSQ
4
Numerical
6
Take as mock testPractise with answers

Updated

Official paper: IIT M FOUNDATION AN EXAM QDF2 26 Oct 2025 · No negative marking.

Question 1

+2 marksOne correct option
  1. A

    7

  2. B

    9

  3. C

    8

  4. D

    6

Show answer

Correct answer

  • B

    9

Question 1 on its own page

Question 2

+3 marksOne correct option
  1. A

    Yes

  2. B

    No

Show answer

Correct answer

  • A

    Yes

Question 2 on its own page

Question 3

+3 marksOne correct option
  1. A
  2. B
  3. C
  4. D
Show answer

Correct answer

  • D
Question 3 on its own page

Question 4

+2 marksOne or more correct options

If addition and subtraction are meaningful operation for a variable, then the scale(s) of measurement of the variable could be:

Select all that apply.

  1. A

    Ratio

  2. B

    Nominal

  3. C

    Ordinal

  4. D

    Interval

Show answer

Correct answers

  • A

    Ratio

  • D

    Interval

Question 4 on its own page

Question 5

+2 marksOne or more correct options

Which of the following statements correctly describe Descriptive and Inferential Statistics?

Select all that apply.

  1. A

    Descriptive statistics uses probability theory to draw conclusions, while inferential statistics is represented through tables, charts, and graphs.

  2. B

    Inferential statistics involves using sample data to make generalizations or predictions about a population.

  3. C

    Both descriptive and inferential statistics only deal with numerical data, not categorical data.

  4. D

    Descriptive statistics involves summarizing data using measures such as mean, median,and standard deviation.

Show answer

Correct answers

  • B

    Inferential statistics involves using sample data to make generalizations or predictions about a population.

  • D

    Descriptive statistics involves summarizing data using measures such as mean, median,and standard deviation.

Question 5 on its own page

Question 6

+2 marksOne or more correct options

Choose the correct statement(s).

Select all that apply.

  1. A

    Cross-sectional data are collected at a single point in time across several individuals, firms, or regions etc.

  2. B

    Time series data involve observations on a variable measured at a single point of time.

  3. C

    Nominal scale provides both labelling and meaningful ranking of categories.

  4. D

    Ratio scale has an absolute zero and allows for comparison of both differences and ratios between observations.

Show answer

Correct answers

  • A

    Cross-sectional data are collected at a single point in time across several individuals, firms, or regions etc.

  • D

    Ratio scale has an absolute zero and allows for comparison of both differences and ratios between observations.

Question 6 on its own page

Question 7

+2 marksNumerical answer
Show answer

Correct answer: 0.8

Question 7 on its own page

Question 8

+3 marksNumerical answer
Show answer

Correct answer: 72

Question 8 on its own page

Question 9

+4 marksNumerical answer
Show answer

Correct answer: 175

Question 9 on its own page

Question 10

+4 marksNumerical answer
Show answer

Correct answer: 0

Question 10 on its own page

Question 11

+5 marksNumerical answer

There are 4 observations whose mean is 5 and population variance is 2.5. Two of the observations are known to be 4 and 6. Find the product of the remaining two observations.

Show answer

Correct answer: 21

Question 11 on its own page

Question 12

+2 marksOne or more correct options

Based on the above data, answer the given subquestions.

Choose the correct statement (s).

Select all that apply.

  1. A

    Since both branches have the same average, their performance is equally consistent.

  2. B

    Branch A is more consistent than Branch B because its standard deviation is lower.

  3. C

    Branch A delivers exactly 36 parcels every day, while Branch B’s daily deliveries fluctuate around 36.

  4. D

    Consistency should be evaluated only on the basis of the mean.

Show answer

Correct answers

  • B

    Branch A is more consistent than Branch B because its standard deviation is lower.

  • C

    Branch A delivers exactly 36 parcels every day, while Branch B’s daily deliveries fluctuate around 36.

Question 12 on its own page

Question 13

+2 marksNumerical answer

Based on the above data, answer the given subquestions.

Show answer

Correct answer: 256

Question 13 on its own page

Question 14

+2 marksOne correct option

Based on the above data, answer the given subquestions.

Considering the data from all three years together, determine the overall market share (in percentage) of each movie category and identify which category has the highest share.

  1. A

    Action

  2. B

    Drama

  3. C

    Comedy

  4. D

    Sci-fi

Show answer

Correct answer

  • B

    Drama

Question 14 on its own page

Question 15

+2 marksOne correct option

Based on the above data, answer the given subquestions.

The manager wants to analyze the market shares (%) of Action and Drama movies for each year. Determine the maximum absolute percentage difference between the market shares of these two categories over the given years.

  1. A

    10%

  2. B

    40%

  3. C

    50%

  4. D

    20%

Show answer

Correct answer

  • D

    20%

Question 15 on its own page