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Stats I · Describing categorical data

BSMA1002 · 27 questions · 62 marks · 9 papers

Answer key

Indian Institute of Technology Madras

BS Degree Programme · Examination & Study Paper

BSMA1002 · Statistics for Data Science I

Describing categorical data

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.

Quiz 1 · 26 Oct 2025 (AN)Quiz 1

Q1MCQ2 Marks·Choose one option
Asked 5 times Key ↓
1. A7
2. B9
3. C8
4. D6
Q2NAT3 Marks·Write the number
Asked 5 times Key ↓
Your answer:
Read the passage below, then answer Q3–Q4
Based on the above data, answer the given subquestions.
Q3MCQ2 Marks·Choose one option
Key ↓
Considering the data from all three years together, determine the overall market share (in percentage) of each movie category and identify which category has the highest share.
1. AAction
2. BDrama
3. CComedy
4. DSci-fi
Q4MCQ2 Marks·Choose one option
Key ↓
The manager wants to analyze the market shares (%) of Action and Drama movies for each year. Determine the maximum absolute percentage difference between the market shares of these two categories over the given years.
1. A10%
2. B40%
3. C50%
4. D20%

End Term · 31 Aug 2025 (FN)End Term

Q5MSQ1 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.
Q6NAT3 Marks·Write the number
Asked 5 times Key ↓
Your answer:

End Term · 22 Dec 2024 (FN)End Term

Read the passage below, then answer Q7–Q8
Based on the above data answer the given subquestions.
Q7MCQ3 Marks·Choose one option
Asked 6 times Key ↓
What is the difference between the expenditure on Rent and Groceries?
1. A₹2000
2. B₹2500
3. C₹1500
4. D₹2700
Q8MCQ2 Marks·Choose one option
Asked 6 times Key ↓
How much money does the family spend on Utilities and Entertainment combined?
1. A₹12,000
2. B₹12,500
3. C₹15,000
4. D₹15,200

End Term · 22 Dec 2024 (AN)End Term

Read the passage below, then answer Q9–Q10
Based on the above data answer the given subquestions.
Q9MCQ3 Marks·Choose one option
Asked 6 times Key ↓
What is the difference between the expenditure on Groceries and Utilities?
1. A₹20000
2. B₹12500
3. C₹15000
4. D₹27000
Q10MCQ2 Marks·Choose one option
Asked 6 times Key ↓
How much money does the family spend on Rent and Utilities combined?
1. A₹25,000
2. B₹27,500
3. C₹27,000
4. D₹28,000

Qualifier · May 2024Qualifier

Q11MSQ2 Marks·Choose all correct options
Asked 4 times Key ↓
Figure Q.1 shows the sales distribution of the number of bottles of different types of soft drinks in a shop on a particular day. Which of the following option(s) is/are true?
1. AMedian of the data will be either “Mountain Dew” or “Mirinda”.
2. BThe data is bimodal.
3. CMode is not defined for the given data.
4. DMedian is not defined for the given data.
Read the passage below, then answer Q12–Q13
Table Q.1 represents the number of books read by five students in a year.
Based on the above data, answer the given subquestions
Q12NAT2 Marks·Write the number
Asked 5 times Key ↓
What is the value of x? Enter the answer correct to two decimal places.
Your answer:
Q13MCQ3 Marks·Choose one option
Key ↓
If the number of books read by Prateek is same as the number of books read by Sonakshi, then find the value of y + z.
1. A0.2
2. B0.24
3. C0.4
4. DInsufficient information.

Qualifier · January 2024Qualifier

Read the passage below, then answer Q14–Q15
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.
Q14MCQ1 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
Q15MCQ2 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
Q16MCQ3 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 Q17–Q18
Q17NAT2 Marks·Write the number
Key ↓
Find the value of 10x.
Your answer:
Q18MSQ3 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.

Qualifier · September 2023Qualifier

Read the passage below, then answer Q19–Q20
Q19NAT2 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:
Q20MSQ3 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.
Q21MSQ2 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.

Qualifier · May 2023Qualifier

Q22MSQ2 Marks·Choose all correct options
Asked 2 times Key ↓
Which of the following is/are correct?
1. AMean and Mode can only be defined for a numerical data.
2. BMode can be defined for a categorical data.
3. CThere can be more than one mode for a data.
4. DMedian can be measured for a categorical variable only if the variable is nominal.
5. EThe sum of relative frequencies of all the observations in a given data set is always equal to 1.
Read the passage below, then answer Q23–Q25
Table 2 represents the movies released in 2022 on the OTT platform.
Based on the information, answer the given subquestions.
Q23NAT2 Marks·Write the number
Key ↓
Find the total number of released movies in 2022 on OTT Platform.
Your answer:
Q24NAT2 Marks·Write the number
Key ↓
Find the number of Thriller and Comedy movies released in 2022 on OTT Platform.
Your answer:
Q25NAT3 Marks·Write the number
Asked 5 times Key ↓
Calculate a + b. (Enter the answer correct to three decimal accuracy)
Your answer:

Qualifier · January 2023Qualifier

Read the passage below, then answer Q26–Q27
Figure Q.1 represents the placement report of an engineering college for the academic year 2021-22.
Based on the information, answer the given subquestions.
Q26MCQ2 Marks·Choose one option
Key ↓
Which of the following category does not represent the mode?
1. AAnalytics
2. BSoftware
3. CCore
4. DInsufficient information
Q27NAT3 Marks·Write the number
Asked 6 times Key ↓
If 1200 students are placed during the placement season of 2021-22, then find the number of students placed in core companies?
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

Q272

Q3B

Q4D

Q5C, D

Q60.5 to 0.7

Q7B

Q8B

Q9B

Q10B

Q11B, D

Q120.23 to 0.27

Q13C

Q14B

Q15B

Q16A

Q17357

Q18A, C

Q19125

Q20A, C

Q21A, B

Q22B, C, E

Q23200

Q2437

Q250.542 to 0.548

Q26C

Q27300

Questions and answer keys are reproduced from the official IIT Madras BS papers. Topics and repeated question types are BTechi’s own grouping. BTechi is not affiliated with IIT Madras.