Figure from the original question paper

(D) Median is not defined for the given data.

(A) Median of the data will be either “Mountain Dew” or “Mirinda”.

(C) Mode is not defined for the given data.

Figure from the passage in the original paper Choose the correct statement(s) from the following.

(A) The slices of pie chart adds up to 100%.

(B) Median of the data is Grapes.

(D) The pie chart is misleading because it does not obey the area principle.

September 2024 term · Statistics for Data Science I · BSMA1002

Statistics for Data Science I Qualifier: 22 December 2024 (September 2024 term)

The IIT Madras BS Statistics for Data Science I (Stats 1) Qualifier paper sat on 22 Dec 2024, in the September 2024 term: 16 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: 16
Marks: 40
Duration: 120 min
MSQ: 4
Numerical: 9
MCQ: 3

Take as mock test Practise with answers

Updated 25 Sept 2026

Official paper: IIT M DS REATTEMPT AN EXAM QDQ1 22 Dec 2024 · No negative marking.

Question 1

+3 marksOne or more correct options

Select all that apply.

A
Median of the data will be either “Mountain Dew” or “Mirinda”.
B
The data is bimodal.
C
Mode is not defined for the given data.
D
Median is not defined for the given data.

Show answer

Correct answers

B
The data is bimodal.
D
Median is not defined for the given data.

Question 1 on its own page

Question 2

+3 marksOne or more correct options

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

Select all that apply.

A
Eye colour of a person has ordinal scale of measurement.
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.
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 2 on its own pageAlso asked in Quiz 1 29 Oct 2023, Qualifier 13 Apr 2025

Question 3

+4 marksNumerical answer

The average of 15 observations is 48. If the average of the first 8 observations is 42 and the average of the last 8 observations is 54, what is the value of the 8th observation?

Show answer

Correct answer: 48

Question 3 on its own pageAlso asked in End Term 22 Dec 2024

Question 4

+2 marksNumerical answer

Show answer

Correct answer: 50

Question 4 on its own page

Question 5

+2 marksNumerical answer

The marks (out of 100) scored by Nikita in a semester exam is given as 50, 60, 55, 65, 70. If Suman has scored 5 marks more than Nikita in each subject.
Based on the given information, answer the given subquestions.

Find the mean of the marks scored by Suman.

Show answer

Correct answer: 65

Question 5 on its own page

Question 6

+4 marksOne correct option

A
25
B
50
C
12.5
D
Cannot determine.

Show answer

Correct answer

C
12.5

Question 6 on its own page

Question 7

+2 marksNumerical answer

Calculate the correlation coefficient between the marks scored by Nikita and Suman.

Show answer

Correct answer: 1

Question 7 on its own page

Question 8

+2 marksNumerical answer

What will be 25th percentile of the dataset?

Show answer

Correct answer: 18

Question 8 on its own page

Question 9

+2 marksNumerical answer

What will be the 75th percentile of the dataset?

Show answer

Correct answer: 31

Question 9 on its own page

Question 10

+1 markNumerical answer

Find the IQR (Inter quartile range) of the dataset

Show answer

Correct answer: 13

Question 10 on its own page

Question 11

+2 marksNumerical answer

If a total of 500 fruits are sold on a given day, then find the number of mangoes sold.

Show answer

Correct answer: 125

Question 11 on its own page

Question 12

+3 marksOne or more correct options

Choose the correct statement(s) from the following.

Select all that apply.

A
The slices of pie chart adds up to 100%.
B
Median of the data is Grapes.
C
Mode of the data is Guava.
D
The pie chart is misleading because it does not obey the area principle.

Show answer

Correct answers

A
The slices of pie chart adds up to 100%.
C
Mode of the data is Guava.

Question 12 on its own page

Question 13

+2 marksNumerical answer

Based on the above data, answer the given subquestions.

Show answer

Correct answer: 0.2 (accepted within ±0.03)

Question 13 on its own page

Question 14

+3 marksOne correct option

Based on the above data, answer the given subquestions.

A
0.25
B
0.4
C
0.5
D
Insufficient information.

Show answer

Correct answer

C
0.5

Question 14 on its own page

Question 15

+2 marksOne correct option

Sukanya took a survey of a group of 42 college going students (consisting only of male and female students) to know whether they own a smartphone or not and she got to know the following information.
(i). There are 4 males who own a smartphone.
(ii). There are total 30 females.
(iii). There are total 12 students who own a smartphone.
Based on the given information, answer the given subquestions.

Create a two-way contingency table and find out the number of males in this group who do not own a smartphone

A
0
B
12
C
8
D
4

Show answer

Correct answer

Question 15 on its own page

Question 16

+3 marksOne or more correct options

Choose the correct option(s) after making a two-way contingency table.

Select all that apply.

A
There are 66.66% of the males who do not own a smartphone.
B
There are 73.33% of the females who own a smartphone.
C
28.57% of the total students own a smartphone.
D
We can calculate covariance to find the association between “Gender” and “Ownership of the smartphone”.

Show answer

Correct answers

A
There are 66.66% of the males who do not own a smartphone.
C
28.57% of the total students own a smartphone.

Question 16 on its own page