Question 1
A researcher collects data on the number of books read by students in a semester. The data collected is:
Nominal and Qualitative
Ordinal and Qualitative
Interval and Quantitative
Ratio and Quantitative

The IIT Madras BS Statistics for Data Science I (Stats 1) Quiz 1 paper sat on 23 Feb 2025, in the January 2025 term: 17 questions for 40 marks in 120 minutes. Every question is below with its answer. Take it as a timed mock test to be marked, or read it through first.
A researcher collects data on the number of books read by students in a semester. The data collected is:
Nominal and Qualitative
Ordinal and Qualitative
Interval and Quantitative
Ratio and Quantitative
Correct answer
Ratio and Quantitative
0.10
0.60
0.20
0.30
Correct answer
0.10
Correct answer
Suppose a survey asks respondents to indicate their favorite type of food (e.g., Italian, Chinese, Indian, Mexican). Which of the following option(s) is (are) true?
The data is nominal.
The data is ordinal.
The data is quantitative.
The data is qualitative.
Correct answers
The data is nominal.
The data is qualitative.
A teacher randomly selects 5 students from each class in a school. Based on the performance of these students, she wants to assess the overall performance of the school. Which of the following option(s) is (are) true?
Students of a particular class will represent the population.
Students of a particular class form the sample.
The school as a whole represents the population.
The 5 students from each class form the sample.
Correct answers
The school as a whole represents the population.
The 5 students from each class form the sample.
Correct answers
If we have a dataset 18, 37, 24, 56, 62, 120, then choose the correct option(s):
Range of the dataset is 102.
Median of the dataset is 46.5.
25th percentile of the dataset is 24.
IQR (Inter-quartile range) of the dataset is 59.
Correct answers
Range of the dataset is 102.
Median of the dataset is 46.5.
25th percentile of the dataset is 24.
Correct answer: 15
A grocery store owner wants to analyze the prices of different brands of packaged snacks in his store. He randomly collected 10 snack packets and their prices (in rupees) are 120, 450, 620, 200, 280, 670, 150, 190, 310, 400 respectively. Based on the given information, answer the given sub- questions:
At what price do the top 25% of snack packets start? (More than one option can be correct)
It corresponds to the third quartile.
450 Rupees.
It corresponds to the first quartile.
190 Rupees.
Correct answers
It corresponds to the third quartile.
450 Rupees.
A grocery store owner wants to analyze the prices of different brands of packaged snacks in his store. He randomly collected 10 snack packets and their prices (in rupees) are 120, 450, 620, 200, 280, 670, 150, 190, 310, 400 respectively. Based on the given information, answer the given sub- questions:
What is the Interquartile Range (IQR) of the snack packet prices?
Correct answer: 260
Based on the above data, answer the given subquestions.
Find the number of students from Uttar Pradesh.
Correct answer: 30
Based on the above data, answer the given subquestions.
If the number of participated students from Delhi is twice than the number of students participated from Maharastra, then find the value of y.
Correct answer: 32
Based on the above data, answer the given subquestions.
What is the average monthly salary of the employees if each observation is increased by 3 and then multiplied by 2?
Correct answer: 52
Based on the above data, answer the given subquestions.
What is the population variance of the given data if 10 is added to each observation?
Correct answer: 64
Based on the above data, answer the given subquestions.
Find the total number of questions attempted by Astha and Deepanshu together.
Correct answer: 24
Based on the above data, answer the given subquestions.
What is the value of x ? Enter the answer correct to two decimal places.
Correct answer: 0.25 (accepted within ±0.03)
Based on the above data, answer the given subquestions.
What is the value of y + z ?
0.2
0.24
0.4
Insufficient information.
Correct answer
0.4