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.

Figure from the original question paper

(B) Option figure from the original question paper

(D) Option figure from the original question paper

(A) Option figure from the original question paper

(C) Option figure from the original question paper

September 2023 term · Statistics for Data Science I · BSMA1002

Stats 1 Quiz 1: 29 October 2023 (September 2023 term)

The IIT Madras BS Statistics for Data Science I (Stats 1) Quiz 1 paper sat on 29 Oct 2023, in the September 2023 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
Numerical: 6
MSQ: 5
MCQ: 3

Take as mock test Practise with answers

Updated 25 Sept 2026

Official paper: IIT M FOUNDATION AN2 EXAM QPF2 29 Oct 2023 · No negative marking.

Question 1

+3 marksNumerical answer

Show answer

Correct answer: 10

Question 1 on its own page

Question 2

+3 marksOne or more correct options

The Head of the transportation facility at the IIT Madras campus wants to conduct a survey to rate the bus services offered to all the students. He randomly selects 100 final year students from the campus. Based on the given information, answer the subquestions

Identify the sample and the population.

Select all that apply.

A
The population is all the students at IIT Madras campus.
B
The sample is all the final year students at IIT Madras campus.
C
The sample is 100 randomly selected final year students at IIT Madras campus.
D
The population is all the final year students at IIT Madras campus.

Show answer

Correct answers

A
The population is all the students at IIT Madras campus.
C
The sample is 100 randomly selected final year students at IIT Madras campus.

Question 2 on its own pageAlso asked in Qualifier 16 Mar 2025

Question 3

+2 marksOne correct option

Identify the correct statement from the following.

A
Selected sample is a good representation of the population.
B
Selected sample is not a good representation of the population.

Show answer

Correct answer

B
Selected sample is not a good representation of the population.

Question 3 on its own pageAlso asked in Qualifier 16 Mar 2025

Question 4

+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 4 on its own page

Question 5

+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 5 on its own page

Question 6

+5 marksNumerical answer

Calculate the absolute value of Point Bi-serial correlation coefficient between the result and number of hours spent. Enter the answer correct to three decimal places.

Show answer

Correct answer: 0.045 (accepted within ±0.005)

Question 6 on its own page

Question 7

+2 marksOne correct option

Are the exam results of the selected students strongly influenced by the number of hours spent studying?

A
Yes, because the absolute value of Point Bi-serial coefficient is close to 1.
B
No, because the absolute value of Point Bi-serial coefficient is close to 1.
C
Yes, because the absolute value of Point Bi-serial coefficient is close to 0.
D
No, because the absolute value of Point Bi-serial coefficient is close to 0.

Show answer

Correct answer

D
No, because the absolute value of Point Bi-serial coefficient is close to 0.

Question 7 on its own page

Question 8

+3 marksNumerical answer

What is the average annual package of the students if each observation is doubled after subtracting 5 from it?

Show answer

Correct answer: 40

Question 8 on its own page

Question 9

+4 marksOne correct option

What is the population variance of the given data if 5 is subtracted from each observations?

A
78.6
B
83.6
C
88.6
D
93.6

Show answer

Correct answer

C
88.6

Question 9 on its own page

Question 10

+4 marksNumerical answer

Show answer

Correct answer: 0.32 (accepted within ±0.03)

Question 10 on its own page

Question 11

+2 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 11 on its own pageAlso asked in Qualifier 22 Dec 2024, Qualifier 13 Apr 2025

Question 12

+2 marksOne or more correct options

Sunidhi purchased 5 t-shirts of sizes M, L, S, XL, S for her cousins. Later she purchased one more t- shirt of size M, then choose the correct option(s) from the following:

Select all that apply.

A
Median of the new data is same as of old data.
B
New data will be bimodal.
C
Median of the new data will change.
D
New data will be unimodal.

Show answer

Correct answers

A
Median of the new data is same as of old data.
B
New data will be bimodal.

Question 12 on its own page

Question 13

+3 marksOne or more correct options

Select all that apply.

Show answer

Correct answers

Question 13 on its own page

Question 14

+2 marksNumerical answer

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

Show answer

Correct answer: 5

Question 14 on its own pageAlso asked in Qualifier 13 Apr 2025