The IIT Madras BS Statistics for Data Science I (Stats 1) Quiz 1 paper sat on 26 Feb 2023, in the January 2023 term, set QPF3: 13 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.
Figure Q.1 represents the placement report of an engineering college for the academic year 2021-22.
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.
Which of the following category does not represent the mode?
Analytics
Software
Core
Insufficient information
Correct answer
Core
Figure Q.1 represents the placement report of an engineering college for the academic year 2021-22.
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.
If 1200 students are placed during the placement season of 2021-22, then find the number of students placed in core companies?
Correct answer: 300
Which of the following statements is/are true?
A sample is the subset of a population.
Numerical variables can have all the properties of ordinal and nominal scalesof measurement.
Categorical variable can have numerical properties.
Correlation coefficient measures a linear association between two numericalvariables.
Correct answers
A sample is the subset of a population.
Numerical variables can have all the properties of ordinal and nominal scalesof measurement.
Correlation coefficient measures a linear association between two numericalvariables.
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.
Choose the correct statement/s ?
A nominal scale has the property of labelling the categories and it does notinvolve the ranking of data.
An ordinal scale has all the properties of nominal scale and it involves theranking of data.
An Interval scale has all the properties of ordinal scale and it satisfies theabsolute zero property.
A ratio scale has all the properties of interval scale and it does not satisfy theabsolute zero property.
Correct answers
A nominal scale has the property of labelling the categories and it does notinvolve the ranking of data.
An ordinal scale has all the properties of nominal scale and it involves theranking of data.
Suppose the number of cars sold by a car dealer in five months are 12, 8, 9, 20, 40.
Which of the following is/are outliers?
-8
20
40
8
Correct answer
40
An analyst did a survey to know whether literacy rate affects voting rate among adults in villages. He collected the data from a village and the results are tabulated in Table Q.1.
An analyst did a survey to know whether literacy rate affects voting rate among adults in villages. He collected the data from a village and the results are tabulated in Table Q.1.
Choose the correct option/s?
Of all the literate adults, 25% do not participate in voting.
Of all the illiterate adults, 72.73% participate in voting.
If all row relative frequencies are similar within each column then, it impliesthat all column relative frequencies will also be similar within each row.
If all column relative frequencies are similar within each row then, it does notimply that all row relative frequencies will also be similar within each column.
There is no association between literacy and voting participation.
There is an association between literacy and voting participation.
Correct answers
Of all the literate adults, 25% do not participate in voting.
Of all the illiterate adults, 72.73% participate in voting.
If all row relative frequencies are similar within each column then, it impliesthat all column relative frequencies will also be similar within each row.
There is no association between literacy and voting participation.
An analyst want to analyse the salary of employees in different organizations in a city. To analyse this, he has selected an organization and the data of salaries is tabulated as shown in Table Q.2.
An analyst want to analyse the salary of employees in different organizations in a city. To analyse this, he has selected an organization and the data of salaries is tabulated as shown in Table Q.2.
Based on the given information, answer the subquestions.
Based on the data collected from an organisation, analyst made a statement that the average salary of an employee is 50,000 rupees in different organizations in the city. The given statement of analyst is based on which kind of statistical analysis ?
Descriptive statistics
Inferential statistics
Correct answer
Inferential statistics
An analyst want to analyse the salary of employees in different organizations in a city. To analyse this, he has selected an organization and the data of salaries is tabulated as shown in Table Q.2.
An analyst want to analyse the salary of employees in different organizations in a city. To analyse this, he has selected an organization and the data of salaries is tabulated as shown in Table Q.2.
Based on the given information, answer the subquestions.
What is the sample standard deviation of salary (in thousand rupees)? (Enter the answer correct to 2 decimal accuracy)
Correct answer: 12.25 (accepted within ±0.03)
The heights (in cm) of ten athletes are represented by a stem and leaf plot in Figure Q.2.
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
What is the median height(in cm) of an athlete?
Correct answer: 175
The heights (in cm) of ten athletes are represented by a stem and leaf plot in Figure Q.2.
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
What is the mode of the heights (in cm) of athletes?
Correct answer: 175
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.
Correct answer: 70
Let X and Y represent the total marks of Mayur and Deepak in 5 subjects respectively. If the marks scored by Deepak is twice the marks scored by Mayur in each subject, then which of the following statement is correct?
There is no correlation between X and Y .
There is a weak positive correlation between X and Y .
There is a strong positive correlation between X and Y .
Insufficient information.
Correct answer
There is a strong positive correlation between X and Y .
