Indian Institute of Technology Madras
BS Degree Programme · Examination & Study Paper
BSMA1002 · Statistics for Data Science I
Mean, median & mode
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
- Q1MCQ3 Marks·Choose one option
- A
- B
- C
- D
- A
End Term · 13 Apr 2025 (AN)End Term
- Q2NAT3 Marks·Write the number
The total number of observations in a dataset is 8. If the mean of first 4 observations is 12 and the mean of all 8 observations is 18, then find the mean of last 4 observations.
Your answer:
End Term · 22 Dec 2024 (FN)End Term
- Q3NAT4 Marks·Write the number
The average of 15 observations is 48. If the average of the first 8 observations is 42 and the average of the last 8 observations is 54, what is the value of the 8th observation?
Your answer:
End Term · 22 Dec 2024 (AN)End Term
- Q4NAT4 Marks·Write the number
The average of 15 observations is 45. If the average of the first 8 observations is 41 and the average of the last 8 observations is 53, what is the value of the 8th observation?
Your answer:
Qualifier · May 2024Qualifier
- Q5NAT3 Marks·Write the number
Your answer: Read the passage below, then answer Q6
The marks (out of 100) scored by Manoj in a semester exam are given as 60, 70, 65, 75, 80. If Nitin has scored 5 marks more than Manoj in each subject.
Based on the given information, answer the subquestions.
Q6NAT2 Marks·Write the numberFind the mean of the marks scored by Nitin.
Your answer:Read the passage below, then answer Q7–Q8
Based on the above data, answer the given subquestions
Q7NAT2 Marks·Write the numberWhat will be the median age for this group?
Your answer:- Q8NAT1 Mark·Write the number
How many people are above 23 years of Age in the given stem and leaf plot?
Your answer: - Q9NAT1 Mark·Write the number
Your answer:
Qualifier · January 2024Qualifier
- Q10NAT4 Marks·Write the number
Your answer:
Qualifier · September 2023Qualifier
Read the passage below, then answer Q11
Q11NAT3 Marks·Write the numberWhat is the average annual package of the students if each observation is doubled after subtracting 5 from it?
Your answer:- Q12MSQ3 Marks·Choose all correct options
- A
- B
- C
- D
- A
Qualifier · May 2023Qualifier
- Q13NAT4 Marks·Write the number
Your answer:
Qualifier · January 2023Qualifier
Read the passage below, then answer Q14–Q15
The heights (in cm) of ten athletes are represented by a stem and leaf plot in Figure Q.2.
Based on the above information, answer the given subquestions
Q14NAT3 Marks·Write the numberWhat is the median height(in cm) of an athlete?
Your answer:- Q15NAT3 Marks·Write the number
What is the mode of the heights (in cm) of athletes?
Your answer: - Q16NAT3 Marks·Write the number
The mean and sample variance of the marks (out of 50) scored by the students in the Statistics course are 40 and 25 respectively. If 5 is subtracted from the marks of each student and then multiplied by 2. Find the mean of the modified marks.
Your answer: