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January 2025 term · Statistics for Data Science I · BSMA1002

Statistics for Data Science I Qualifier: 13 April 2025 (January 2025 term)

The IIT Madras BS Statistics for Data Science I (Stats 1) Qualifier paper sat on 13 Apr 2025, in the January 2025 term: 14 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
14
Marks
40
Duration
120 min
MCQ
2
MSQ
6
Numerical
6
Take as mock testPractise with answers

Updated

Official paper: IIT M DS REATTEMPT AN EXAM QDQ1 13 Apr 2025 · No negative marking.

Question 1

+2 marksOne correct option

An inspection officer wants to test the tensile strength of threaded rods produced by a factory. If he selects 40 threaded rods at random from those that produced in the month of August 2022 at the factory. Identify the sample and population.

  1. A

    The population is all threaded rods ever produced at the factory and the sample is all the threaded rods produced in the month of August 2022.

  2. B

    The population is all threaded rods ever produced at the factory, and the sample is the 40 selected threaded rods.

  3. C

    The population is all threaded rods produced in the year 2022 and the sample is the threaded rods produced in the month of August 2022.

  4. D

    None of these.

Show answer

Correct answer

  • B

    The population is all threaded rods ever produced at the factory, and the sample is the 40 selected threaded rods.

Question 1 on its own page

Question 2

+3 marksOne correct option

Select the correct statements from the following:

  1. A

    Two data sets with the identical frequency distributions will have identical relative frequency distributions.

  2. B

    A relative frequency is the number of observations belonging to a category.

  3. C

    Two data sets with the identical relative-frequency distributions will always have identical frequency distributions.

  4. D

    If all of the bars in a bar chart have the same length, then the categorical variable shown in the bar chart has no variation.

Show answer

Correct answer

  • A

    Two data sets with the identical frequency distributions will have identical relative frequency distributions.

Question 2 on its own pageAlso asked in Quiz 1 25 Feb 2024

Question 3

+2 marksOne or more correct options

Which of the following statement(s) is(are) true?

Select all that apply.

  1. A

    Eye colour of a person has ordinal scale of measurement.

  2. B

    Recording the price of bitcoin every hour for 3 days is a time-series data.

  3. C

    Number of students present in a class is a discrete variable.

  4. D

    Amount of milk (in litres) is a categorical variable.

Show answer

Correct answers

  • B

    Recording the price of bitcoin every hour for 3 days is a time-series data.

  • C

    Number of students present in a class is a discrete variable.

Question 3 on its own pageAlso asked in Quiz 1 29 Oct 2023, Qualifier 22 Dec 2024

Question 4

+3 marksOne or more correct options

Select all that apply.

  1. A

    Mode of the dataset is size ‘M’.

  2. B

    Mean of the dataset is 25.

  3. C

    Population variance of the dataset is 50.

  4. D

    Median of the dataset is 20.

Show answer

Correct answer

  • A

    Mode of the dataset is size ‘M’.

Question 4 on its own page

Question 5

+3 marksOne or more correct options

Select all that apply.

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

Correct answers

  • B
  • D
Question 5 on its own page

Question 6

+5 marksOne or more correct options

Select all that apply.

  1. A

    More than 65% of individuals are willing to buy the new model of sports car.

  2. B

    Approximately 35% of individuals in the age group 19-30 years are not willing to buy the new model of sports car.

  3. C

    There is no association between the age group and willingness to buy the car.

  4. D

    There is an association between the age group and willingness to buy the car.

Show answer

Correct answers

  • A

    More than 65% of individuals are willing to buy the new model of sports car.

  • D

    There is an association between the age group and willingness to buy the car.

Question 6 on its own page

Question 7

+2 marksNumerical answer

Find the IQR (Interquartile range) of the data 14, 20, 40, 23 and 18.

Show answer

Correct answer: 5

Question 7 on its own pageAlso asked in Quiz 1 29 Oct 2023

Question 8

+2 marksNumerical answer

The mean and sample variance of the marks (out of 50) scored by the students in the Statistics course are 40 and 25 respectively. If 5 is subtracted from the marks of each student and then multiplied by 2. Find the mean of the modified marks.

Show answer

Correct answer: 70

Question 8 on its own pageAlso asked in Quiz 1 26 Feb 2023, Quiz 1 26 Feb 2023, Quiz 1 26 Feb 2023

Question 9

+4 marksNumerical answer
Show answer

Correct answer: 39

Question 9 on its own page

Question 10

+4 marksNumerical answer
Show answer

Correct answer: 0.82 (accepted within ±0.03)

Question 10 on its own page

Question 11

+2 marksNumerical answer

Table Q.4 represents the movies released in 2022 on the OTT platform. Based on the given information, answer the subquestions:

Find the total number of released movies in 2022 on OTT Platform.

Show answer

Correct answer: 200

Question 11 on its own page

Question 12

+2 marksNumerical answer

Table Q.4 represents the movies released in 2022 on the OTT platform. Based on the given information, answer the subquestions:

Find the number of Thriller and Comedy movies released in 2022 on OTT Platform.

Show answer

Correct answer: 37

Question 12 on its own page

Question 13

+3 marksOne or more correct options

A clothe retailer wants to analyze the prices of different brands of t-shirts in his store. He randomly collected 10 t-shirts and prices (in rupees) of the t-shirts are 150, 550, 700, 240, 300, 750, 200, 180, 320, 420 respectively.
Based on the above data, answer the given subquestions.

Price below which 25% of the t-shirts fall.

Select all that apply.

  1. A

    It is a measure of Q1.

  2. B

    200 Rs.

  3. C

    It is a measure of Q3.

  4. D

    550 Rs.

Show answer

Correct answers

  • A

    It is a measure of Q1.

  • B

    200 Rs.

Question 13 on its own page

Question 14

+3 marksOne or more correct options

A clothe retailer wants to analyze the prices of different brands of t-shirts in his store. He randomly collected 10 t-shirts and prices (in rupees) of the t-shirts are 150, 550, 700, 240, 300, 750, 200, 180, 320, 420 respectively.
Based on the above data, answer the given subquestions.

Price of the t-shirt that separates price of the highest 25% of the data from the lower 75%.

Select all that apply.

  1. A

    It is a measure of Q2

  2. B

    550 Rupees

  3. C

    It is a measure of Q3

  4. D

    310 Rupees

Show answer

Correct answers

  • B

    550 Rupees

  • C

    It is a measure of Q3

Question 14 on its own page