Figure from the original question paper

(C) Option figure from the original question paper

(A) Option figure from the original question paper

(B) Option figure from the original question paper

(D) Option figure from the original question paper

Figure from the original question paper

(C) Mode of the data is “Excellent”.

(A) Mode of the data is “Bad”.

(B) Median of the data is “Excellent”.

Figure from the original question paper

(B) Option figure from the original question paper

(A) Option figure from the original question paper

(C) Option figure from the original question paper

(D) Option figure from the original question paper

May 2024 term · Statistics for Data Science I · BSMA1002

Stats 1 End Term: 1 September 2024, Set QDF3 (May 2024 term)

The IIT Madras BS Statistics for Data Science I (Stats 1) End Term paper sat on 1 Sept 2024, in the May 2024 term, set QDF3: 19 questions for 50 marks in 180 minutes. Every question is below with its answer. Take it as a timed mock test to be marked, or read it through first.

Questions: 19
Marks: 50
Duration: 180 min
MCQ: 8
MSQ: 2
Numerical: 9

Take as mock test Practise with answers

Updated 25 Sept 2026

Official paper: IIT M FOUNDATION DIPLOMA AN EXAM QDF3 01 Sep 2024 · No negative marking.

Question 1

+2 marksOne correct option

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Correct answer

Question 1 on its own page

Question 2

+2 marksOne correct option

A
Mode of the data is “Bad”.
B
Median of the data is “Excellent”.
C
Mode of the data is “Excellent”.
D
The given data is bimodal.

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Correct answer

C
Mode of the data is “Excellent”.

Question 2 on its own page

Question 3

+3 marksOne correct option

There are 10 chocolates in a box out of which 6 are milk chocolates and 4 are dark chocolates. A sample of 4 chocolates is randomly selected (without replacement) from the box. Let random variable X represents the number of milk chocolates in the selected sample. What is the value of P(X = 1)?

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Correct answer

Question 3 on its own page

Question 4

+3 marksOne correct option

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Correct answer

Question 4 on its own page

Question 5

+1 markOne or more correct options

A manager at a multinational corporation wants to assess the satisfaction level of its employees regarding the company’s remote work policy. He randomly selects 50 employees from the company’s global workforce for a survey. Identify the sample and population.

Select all that apply.

A
The sample is all employees working at the multinational corporation.
B
The population is all employees working at the multinational corporation.
C
The sample is randomly selected group of 50 employees from the company’s global workforce.
D
The population is randomly selected group of 50 employees from the company’s global workforce.

Show answer

Correct answers

B
The population is all employees working at the multinational corporation.
C
The sample is randomly selected group of 50 employees from the company’s global workforce.

Question 5 on its own page

Question 6

+2 marksOne or more correct options

Choose the correct option(s) from the following:

Select all that apply.

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Correct answers

Question 6 on its own page

Question 7

+3 marksNumerical answer

If two dice are thrown, what is the probability that the sum is either 7 or 11? Enter the answer correct to two decimal places.

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Correct answer: 0.22 (accepted within ±0.03)

Question 7 on its own page

Question 8

+3 marksNumerical answer

Suppose person X speaks truth with a probability of 3/5 and person Y speaks truth with a probability of 5/8. If you ask both of them their opinions on a story, what is the probability that their opinions will be contradictory? Enter the answer correct to two decimal places.

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Correct answer: 0.48 (accepted within ±0.03)

Question 8 on its own page

Question 9

+3 marksNumerical answer

If sample correlation coefficient between X and Y is 3/4, sample covariance is 45 and sample variance of X is 36, then what is the value of sample standard deviation of Y ?

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Correct answer: 10

Question 9 on its own page

Question 10

+4 marksNumerical answer

In a cooking competition, contestants are required to prepare a 3-course meal consisting of an appetizer, a main course, and a dessert. Each course can be rated as “Excellent”, “Good”, “Average”, “Fair”, or “Poor”. According to the rules, a contestant must receive at least a “Fair” rating in each course to promote to the next round. What is the total number of ways in which a contestant can be promoted to the next round?

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Correct answer: 64

Question 10 on its own page

Question 11

+4 marksNumerical answer

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Correct answer: 4

Question 11 on its own page

Question 12

+3 marksOne correct option

Based on the above data, answer the given subquestions.

Find the probability mass function of X.

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Correct answer

Question 12 on its own page

Question 13

+2 marksNumerical answer

Based on the above data, answer the given subquestions.

What is the value of E(X)? Enter the answer correct to one decimal place.

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Correct answer: 1.2

Question 13 on its own page

Question 14

+2 marksNumerical answer

A grocery store sells apples with weights between 150 grams and 450 grams. Assume the weight of the apples follows a uniform distribution.
Based on the given information, answer the given subquestions.

What is the probability that a randomly selected apple will have a weight of at least 270 grams? Enter the answer correct to one decimal place.

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Correct answer: 0.6

Question 14 on its own page

Question 15

+3 marksOne correct option

What is the conditional probability that a randomly selected apple will have a weight of more than 300 grams given that it already weighs at least 270 grams?