The IIT Madras BS Statistics for Data Science I (Stats 1) Qualifier paper sat on 24 Mar 2024, in the January 2024 term: 14 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.
Which of the following statement(s) is/are true?
Vehicle Number plate has an ordinal scale of measurement.
Laptop brand has a nominal scale of measurement.
Amount of milk (in litres) is a numeric and discrete variable.
Life of a bulb (in hours) has a ratio scale of measurement.
Correct answers
Laptop brand has a nominal scale of measurement.
Life of a bulb (in hours) has a ratio scale of measurement.
If the 70^(th) percentile of dataset 78, 60, x, 65, 66 is x, then what can be the possible value(s) of x?
65
66
70
None of these
Correct answers
66
70
Correct answer: 10
Table Q.1 represents the marks (out of 50) of five students in Chemistry and Biology exam papers.
What is the correlation coefficient between the marks of both the exam papers? Enter the answer correct to two decimal places.
Correct answer: 0.32 (accepted within ±0.03)
The annual package (in lakhs) offered to students of management studies in IIT Madras is represented in Figure Q.1. Based on the given information, answer the subquestions .
What is the average annual package of the students if each observation is doubled after subtracting 5 from it?
Correct answer: 40
The annual package (in lakhs) offered to students of management studies in IIT Madras is represented in Figure Q.1. Based on the given information, answer the subquestions .
What is the population variance of the given data if 5 is subtracted from each observations?
78.6
83.6
88.6
93.6
Correct answer
88.6
Table Q.2 shows the count of sales of shirts at a men’s clothing retailer.
Choose the correct option/s from the following:
Of all the shirts with Polo style, there are 26.67% shirts of Medium size.
Of all the shirts with Small size, there are 25% shirts of Small Print style.
There is no association between the size and style of shirts.
There is an association between the size and style of shirts.
Correct answers
Of all the shirts with Polo style, there are 26.67% shirts of Medium size.
There is an association between the size and style of shirts.
What is the value of x?
Correct answer: 16
If the total number of items sold in last month is 500, then find the number of tempered glass sold in the last month?
Correct answer: 200
What is the relative frequency corresponding to the event Music? (Enter the answer correct to 2 decimal places)
Correct answer: 0.25 (accepted within ±0.03)
If the count of candidates participated in each event is decreased by 1, then choose the correct option/s?
Mode of the data set will remain same.
Median of the data set will remain same.
Mode of the data set will change.
Mean of the data set will change.
Correct answer
Mode of the data set will remain same.
An administrator at IIT Madras campus wants to conduct a survey to rate the tiffin services offered by the campus’s cafeteria to the final year students, for which the administrator selects 100 final year students randomly from the campus. Identify the sample and population.
The population is all the students at IIT Madras campus.
The sample is all the final year students at IIT Madras campus.
The sample is 100 randomly selected final year students at IIT Madras campus.
The population is all the final year students at IIT Madras campus.
Correct answers
The sample is 100 randomly selected final year students at IIT Madras campus.
The population is all the final year students at IIT Madras campus.
Choose the correct statement/s ?
A nominal scale has the property of labelling the categories and it does not involve the ranking of data.
An ordinal scale has all the properties of nominal scale and it involves the ranking of data.
An Interval scale has all the properties of ordinal scale and it satisfies the absolute zero property.
A ratio scale has all the properties of interval scale and it does not satisfy the absolute zero property.
Correct answers
A nominal scale has the property of labelling the categories and it does not involve the ranking of data.
An ordinal scale has all the properties of nominal scale and it involves the ranking of data.
Which of the following represent(s) cross sectional data?
Census of tigers estimated in four different countries in 2021.
Yearly irrigation report released by a government over the period of ten years.
Revenue generated by a company in four different states in 2022.
Monthly expenditure of a family in 2020.
Correct answers
Census of tigers estimated in four different countries in 2021.
Revenue generated by a company in four different states in 2022.
