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Stats I · Qualifier · September 2023

BSMA1002 · 14 questions · 40 marks · 45 min

Answer key Take as mock

Indian Institute of Technology Madras

BS Degree Programme · Examination & Study Paper

BSMA1002 · Statistics for Data Science I

Qualifier · September 2023

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.

Q1NAT3 Marks·Write the number
Key ↓
Your answer:
Read the passage below, then answer Q2–Q3
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
Q2MSQ3 Marks·Choose all correct options
Key ↓
Identify the sample and the population.
1. AThe population is all the students at IIT Madras campus.
2. BThe sample is all the final year students at IIT Madras campus.
3. CThe sample is 100 randomly selected final year students at IIT Madras campus.
4. DThe population is all the final year students at IIT Madras campus.
Q3MCQ2 Marks·Choose one option
Asked 2 times Key ↓
Identify the correct statement from the following.
1. ASelected sample is a good representation of the population.
2. BSelected sample is not a good representation of the population.
Read the passage below, then answer Q4–Q5
Q4NAT2 Marks·Write the number
Asked 6 times Key ↓
If a total of 500 fruits are sold on a given day, then find the number of mangoes sold.
Your answer:
Q5MSQ3 Marks·Choose all correct options
Key ↓
Choose the correct statement(s) from the following.
1. AThe slices of pie chart adds up to 100%.
2. BMedian of the data is Grapes.
3. CMode of the data is Guava.
4. DThe pie chart is misleading because it does not obey the area principle.
Read the passage below, then answer Q6–Q7
Q6NAT5 Marks·Write the number
Key ↓
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.
Your answer:
Q7MCQ2 Marks·Choose one option
Key ↓
Are the exam results of the selected students strongly influenced by the number of hours spent studying?
1. AYes, because the absolute value of Point Bi-serial coefficient is close to 1.
2. BNo, because the absolute value of Point Bi-serial coefficient is close to 1.
3. CYes, because the absolute value of Point Bi-serial coefficient is close to 0.
4. DNo, because the absolute value of Point Bi-serial coefficient is close to 0.
Read the passage below, then answer Q8–Q9
Q8NAT3 Marks·Write the number
Asked 4 times Key ↓
What is the average annual package of the students if each observation is doubled after subtracting 5 from it?
Your answer:
Q9MCQ4 Marks·Choose one option
Asked 4 times Key ↓
What is the population variance of the given data if 5 is subtracted from each observations?
1. A78.6
2. B83.6
3. C88.6
4. D93.6
Q10NAT4 Marks·Write the number
Asked 2 times Key ↓
Your answer:
Q11MSQ2 Marks·Choose all correct options
Asked 6 times Key ↓
Which of the following statement(s) is(are) true?
1. AEye colour of a person has ordinal scale of measurement.
2. BRecording the price of bitcoin every hour for 3 days is a time-series data.
3. CNumber of students present in a class is a discrete variable.
4. DAmount of milk (in litres) is a categorical variable.
Q12MSQ2 Marks·Choose all correct options
Asked 4 times Key ↓
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:
1. AMedian of the new data is same as of old data.
2. BNew data will be bimodal.
3. CMedian of the new data will change.
4. DNew data will be unimodal.
Q13MSQ3 Marks·Choose all correct options
Key ↓
1. A
2. B
3. C
4. D
Q14NAT2 Marks·Write the number
Asked 3 times Key ↓
Find the IQR (Interquartile range) of the data 14, 20, 40, 23 and 18.
Your answer:

Official Key

Master Answer Key & Explanations

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

Reveal Key

Q110

Q2A, C

Q3B

Q4125

Q5A, C

Q60.04 to 0.05

Q7D

Q840

Q9C

Q100.29 to 0.35

Q11B, C

Q12A, B

Q13B, D

Q145

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