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Stats I · End Term · 31 Aug 2025 (Forenoon)

BSMA1002 · 15 questions · 40 marks · 90 min

Answer key Take as mock

Indian Institute of Technology Madras

BS Degree Programme · Examination & Study Paper

BSMA1002 · Statistics for Data Science I

End Term · 31 Aug 2025 (Forenoon)

Official Paper

Examination Instructions & Guidelines

Solve on notebook/paper first before checking solutions.
MCQ: Exactly 1 option is correct. Negative marking applies.
MSQ: One or more options correct. Select all to score.
NAT: Numerical response. No negative marking.
Scientific calculator allowed for all calculations.
Official answer key is sealed at the end of this sheet.

Q1MCQ3 Marks·Choose one option
Asked 4 times Key ↓
Consider the dataset 10, 27, 32, 15 and 22. A new dataset is obtained by subtracting 3 from every observation. Compute the value of (70th percentile of new dataset) - (30th percentile of the old dataset).
1. A-3
2. B9
3. C3
4. D-9
Q2MSQ1 Mark·Choose all correct options
Asked 2 times Key ↓
Which of the following statements is/are true?
1. AMedian can be measured for a categorical variable only if the variable is nominal.
2. BMode can not be defined for categorical data.
3. CThere can be more than one mode for a data.
4. DThe sum of relative frequencies of all the observations in a given data set is always equal to 1.
Q3MSQ3 Marks·Choose all correct options
Key ↓
1. A
2. B
3. C
4. D
5. E
Q4MSQ3 Marks·Choose all correct options
Key ↓
1. A
2. B
3. C
4. D
Q5NAT3 Marks·Write the number
Key ↓
Your answer:
Q6NAT3 Marks·Write the number
Asked 5 times Key ↓
Your answer:
Q7NAT3 Marks·Write the number
Key ↓
Your answer:
Q8NAT3 Marks·Write the number
Key ↓
If two fair dice are thrown, what is the probability that the sum is either 4 or 9? Enter the answer correct to two decimal places.
Your answer:
Q9NAT3 Marks·Write the number
Key ↓
Your answer:
Read the passage below, then answer Q10–Q11
Based on the above data, answer the given subquestions.
Q10NAT2 Marks·Write the number
Asked 2 times Key ↓
Find the value of c such that X has a valid pmf. Enter the answer correct to one decimal place.
Your answer:
Q11NAT3 Marks·Write the number
Asked 4 times Key ↓
Find the value of Var(X). Enter the answer correct to two decimal places.
Your answer:
Read the passage below, then answer Q12–Q13
Based on the above data, answer the given subquestions.
Q12MCQ3 Marks·Choose one option
Key ↓
1. A
2. B
3. C
4. D
Q13NAT2 Marks·Write the number
Asked 2 times Key ↓
Your answer:
Read the passage below, then answer Q14–Q15
Based on the above data, answer the given subquestions.
Q14NAT2 Marks·Write the number
Key ↓
What is the probability that a randomly selected box contains at most 1 defective item? Enter the answer correct to one decimal place.
Your answer:
Q15NAT3 Marks·Write the number
Asked 5 times Key ↓
Your answer:

Official Key

Master Answer Key & Explanations

Official answer keys from IIT Madras BS past papers. Click any question to review.

Reveal Key

Q1B

Q2C, D

Q3A, E

Q4A, B, C

Q510

Q60.5 to 0.7

Q760

Q80.17 to 0.21

Q90.73 to 0.79

Q100.2

Q110.73 to 0.79

Q12B

Q132

Q140.3

Q1522

Questions and answer keys are reproduced from the official IIT Madras BS papers. BTechi is not affiliated with IIT Madras.