Indian Institute of Technology Madras
BS Degree Programme · Examination & Study Paper
BSMA1002 · Statistics for Data Science I
Quiz 1 · 26 Oct 2025 (Afternoon)
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
- A7
- B9
- C8
- D6
- Q2MCQ3 Marks·Choose one option
- AYes
- BNo
- Q3MCQ3 Marks·Choose one option
- A
- B
- C
- D
- A
- Q4MSQ2 Marks·Choose all correct options
If addition and subtraction are meaningful operation for a variable, then the scale(s) of measurement of the variable could be:
- ARatio
- BNominal
- COrdinal
- DInterval
- Q5MSQ2 Marks·Choose all correct options
Which of the following statements correctly describe Descriptive and Inferential Statistics?
- ADescriptive statistics uses probability theory to draw conclusions, while inferential statistics is represented through tables, charts, and graphs.
- BInferential statistics involves using sample data to make generalizations or predictions about a population.
- CBoth descriptive and inferential statistics only deal with numerical data, not categorical data.
- DDescriptive statistics involves summarizing data using measures such as mean, median,and standard deviation.
- Q6MSQ2 Marks·Choose all correct options
Choose the correct statement(s).
- ACross-sectional data are collected at a single point in time across several individuals, firms, or regions etc.
- BTime series data involve observations on a variable measured at a single point of time.
- CNominal scale provides both labelling and meaningful ranking of categories.
- DRatio scale has an absolute zero and allows for comparison of both differences and ratios between observations.
- Q7NAT2 Marks·Write the number
Your answer: - Q8NAT3 Marks·Write the number
Your answer: - Q9NAT4 Marks·Write the number
Your answer: - Q10NAT4 Marks·Write the number
Your answer: - Q11NAT5 Marks·Write the number
There are 4 observations whose mean is 5 and population variance is 2.5. Two of the observations are known to be 4 and 6. Find the product of the remaining two observations.
Your answer: Read the passage below, then answer Q12–Q13
Based on the above data, answer the given subquestions.
Q12MSQ2 Marks·Choose all correct optionsChoose the correct statement (s).
- ASince both branches have the same average, their performance is equally consistent.
- BBranch A is more consistent than Branch B because its standard deviation is lower.
- CBranch A delivers exactly 36 parcels every day, while Branch B’s daily deliveries fluctuate around 36.
- DConsistency should be evaluated only on the basis of the mean.
- Q13NAT2 Marks·Write the number
Your answer: Read the passage below, then answer Q14–Q15
Based on the above data, answer the given subquestions.
Q14MCQ2 Marks·Choose one optionConsidering 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.
- AAction
- BDrama
- CComedy
- DSci-fi
- Q15MCQ2 Marks·Choose one option
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.
- A10%
- B40%
- C50%
- D20%