The IIT Madras BS Statistics for Data Science I (Stats 1) Quiz 2 paper sat on 24 Mar 2024, in the January 2024 term: 18 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.
Distance covered by a runner in the first five days of training are 3 km, 5 km, 3 km, 6 km, and 7 km. If the runner covers a distance of 4 km on the sixth day, then how does it affect his overall performance?
The mean of the distances will increase.
The mode of the distances will decrease.
The median of the distances will decrease.
Range of the distances will decrease.
Correct answer
The median of the distances will decrease.
Which of the following statement(s) is(are) correct?
Point-bi serial method is appropriate to find the association between two categorical variables.
Scatter plot is more appropriate to represent the relationship between two numerical variables.
There is no available method for determining the association between a categorical and a numerical variable.
Covariance can be computed only for two numerical variables.
Correct answers
Scatter plot is more appropriate to represent the relationship between two numerical variables.
Covariance can be computed only for two numerical variables.
Which of the following option(s) is(are) correct ?
Correct answers
In how many different ways can the letters of the word ‘ENGLISH’ be arranged such that the vowels always come together?
Correct answer: 1440
Consider a given dataset of weights (in kg) of persons such as 50, 55, 40, 60, 99, 90, 95, 60, 80, 75. Based on the above data, answer the given subquestions.
Correct answer
Consider a given dataset of weights (in kg) of persons such as 50, 55, 40, 60, 99, 90, 95, 60, 80, 75. Based on the above data, answer the given subquestions.
Find the IQR (Inter-quartile range) of the given dataset.
Correct answer: 35
A drawer of socks contains three black socks, four blue socks, and three grey socks. Two socks are chosen at random without replacement. Based on the information, answer the given subquestion.
What is the probability that a black pair is chosen ? Enter the answer correct to two decimal places
Correct answer: 0.07 (accepted within ±0.03)
A drawer of socks contains three black socks, four blue socks, and three grey socks. Two socks are chosen at random without replacement. Based on the information, answer the given subquestion.
What is the probability that they are of same colour ? Enter the answer correct to two decimal places.
Correct answer: 0.27 (accepted within ±0.03)
A family has two children. Assume being a male or female of a child is equally likely.
Based on the above data, answer the given subquestions.
Find the probability that at least one child is a boy.
Correct answer
A family has two children. Assume being a male or female of a child is equally likely.
Based on the above data, answer the given subquestions.
What is the probability that both are boys given that at least one is a boy ? Enter the answer correct to two decimal places.
Correct answer: 0.33 (accepted within ±0.03)
Based on the above data, answer the given subquestions.
What is the probability that co-education will be introduced in the college?
Correct answer
Based on the above data, answer the given subquestions.
If co-education has been introduced in the college, then what is the probability that X is principal ? Enter the answer correct to two decimal places.
Correct answer: 0.44 (accepted within ±0.04)
In a school function, there are 2 violinists, 3 pianists, and 1 flutist. They have to sit in a circular order for a performance. Based on the information, answer the given subquestions.
Choose the correct options from the following:
Selection of performers will occur simultaneously.
Selection of performers will not occur simultaneously.
With replacement.
Without replacement.
Correct answers
Selection of performers will occur simultaneously.
Without replacement.
In a school function, there are 2 violinists, 3 pianists, and 1 flutist. They have to sit in a circular order for a performance. Based on the information, answer the given subquestions.
Choose the correct options from the following:
Order matters.
Order does not matter.
Permutation is used.
Combination is used.
Correct answers
Order matters.
Permutation is used.
In a school function, there are 2 violinists, 3 pianists, and 1 flutist. They have to sit in a circular order for a performance. Based on the information, answer the given subquestions.
Find the number of ways in which performers can be arranged in a circular order such that no two violinists will sit together.
120
96
72
672
Correct answer
72
In a class, there are 5 students who like Statistics and 4 students who like Mathematics. A committee of three students is to be formed.
Based on the above data, answer the given subquestions.
Choose the correct options from the following:
Selection of students will occur simultaneously.
Selection of students will not occur simultaneously.
With replacement.
Without replacement.
Correct answers
Selection of students will occur simultaneously.
Without replacement.
In a class, there are 5 students who like Statistics and 4 students who like Mathematics. A committee of three students is to be formed.
Based on the above data, answer the given subquestions.
Choose the correct options from the following:
Order matters.
Order does not matter.
Permutation is used.
Combination is used.
Correct answers
Order does not matter.
Combination is used.
In a class, there are 5 students who like Statistics and 4 students who like Mathematics. A committee of three students is to be formed.
Based on the above data, answer the given subquestions.
Find the number of ways in which the students can be selected such that at least one student likes Statistics.
70
80
90
85
Correct answer
80
