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Stats I · Qualifier · January 2024

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 · January 2024

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.

Q1MCQ2 Marks·Choose one option
Asked 4 times Key ↓
1. AThere is an association between “Gender” and “Willingness” as row relative frequencies will be approximately same for all rows.
2. BThere is no association between “Gender” and “Willingness” as row relative frequencies will be approximately same for all rows.
3. CThere is an association between “Gender” and “Willingness” as row relative frequencies will be different for all rows.
4. DThere is no association between “Gender” and “Willingness” as row relative frequencies will be different for all rows.
Q2MSQ4 Marks·Choose all correct options
Key ↓
1. AThere are 9 students who have scored greater than 20 marks.
2. BThe data is bimodal.
3. CMean is greater than the median.
4. DInterquartile range is 28.
Q3NAT4 Marks·Write the number
Asked 2 times Key ↓
Your answer:
Q4NAT4 Marks·Write the number
Asked 4 times Key ↓
Your answer:
Q5MSQ2 Marks·Choose all correct options
Asked 2 times Key ↓
To ensure the accuracy of conclusions drawn through inferential statistics, which of the following statement(s) must be true?
1. ASample should not be randomly selected.
2. BSample should be randomly selected.
3. CSample should be a good representative of the population.
4. DSample should not be representative of the population.
Q6MSQ2 Marks·Choose all correct options
Asked 6 times Key ↓
Which of the following statement(s) is/are true?
1. AThe gross annual income for each of 1000 randomly chosen households in New York City for the year 2000 is a time series data.
2. BPassenger Name Record (PNR) number has an ordinal scale of measurement.
3. CRevenue generated by India through tea exports to 10 different countries in year 2010 is a cross-sectional data.
4. DShirt size is a categorical variable.
Read the passage below, then answer Q7–Q8
An analyst conducted a survey to understand the opinions of college students regarding the quality of education at their institution. He collected the data from 10 students as:
“Fair”, “Fair”, ”Excellent”, “Poor”, “Fair”, “Excellent”, “Poor”, “Poor”, “Excellent”, and “Poor”.
Based on the above data, answer the given subquestions.
Q7MCQ1 Mark·Choose one option
Asked 4 times Key ↓
What is the mode of the given data?
1. AExcellent
2. BPoor
3. CFair
4. DMode is not defined for the given data
Q8MCQ2 Marks·Choose one option
Asked 4 times Key ↓
What is the median of the given data?
1. APoor
2. BFair
3. CExcellent
4. DMedian is not defined for given data
Q9MSQ5 Marks·Choose all correct options
Asked 4 times Key ↓
1. AOf all the shirts with Polo style, there are 26.67% shirts of Medium size.
2. BOf all the shirts with Small size, there are 25% shirts of Small Print style.
3. CThere is no association between the size and style of shirts.
4. DThere is an association between the size and style of shirts.
Q10MCQ3 Marks·Choose one option
Key ↓
1. A
2. B
3. C
4. D
Q11MCQ3 Marks·Choose one option
Key ↓
Select the correct statements from the following:
1. ATwo data sets with the identical frequency distributions will have identical relative frequency distributions.
2. BA relative frequency is the number of observations belonging to a category.
3. CTwo data sets with the identical relative-frequency distributions will always have identical frequency distributions.
4. DIf all of the bars in a bar chart have the same length, then the categorical variable shown in the bar chart has no variation.
Read the passage below, then answer Q12–Q13
Q12NAT2 Marks·Write the number
Key ↓
Find the value of 10x.
Your answer:
Q13MSQ3 Marks·Choose all correct options
Key ↓
Choose the correct statement(s) from the following.
1. AMode of the data is solar energy.
2. BMedian of the data is wind energy.
3. CThe combined consumption of the hydro, biomass and geothermal energy is more than the wind energy consumption.
4. DThe consumption of solar energy is 120 kWh.
Q14MSQ3 Marks·Choose all correct options
Asked 6 times Key ↓
1. APurchase and Region are categorical variables.
2. BIncome Range has nominal scale of measurement.
3. CAge has a ratio scale of measurement.
4. DHousehold size is a discrete numerical variable.
5. EPurchase has an ordinal scale of measurement.

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

Q339

Q470

Q5B, C

Q6C, D

Q7B

Q8B

Q9A, D

Q10C

Q11A

Q12357

Q13A, C

Q14A, C, D

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