The IIT Madras BS Statistics for Data Science I (Stats 1) Quiz 1 paper sat on 7 Jul 2024, in the May 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.
Figure Q.1 shows the sales distribution of the number of bottles of different types of soft drinks in a shop on a particular day.
Which of the following option(s) is/are true?
Median of the data will be either “Mountain Dew” or “Mirinda”.
The data is bimodal.
Mode is not defined for the given data.
Median is not defined for the given data.
Correct answers
The data is bimodal.
Median is not defined for the given data.
Which of the following statement(s) is/are true?
Structured data does not follow a predefined format, whereas unstructured data does.
Recording of the data over time comes under Cross Sectional data.
Time (in minutes) taken by a student to reach school from his home is a continuous variable.
Comments on a youtube video comes under the unstructured data.
Correct answers
Time (in minutes) taken by a student to reach school from his home is a continuous variable.
Comments on a youtube video comes under the unstructured data.
Table Q.1 represents the number of books read by five students in a year.
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 ±0.02)
Table Q.1 represents the number of books read by five students in a year.
Based on the above data, answer the given subquestions
If the number of books read by Prateek is same as the number of books read by Sonakshi, then find the value of y + z.
0.2
0.24
0.4
Insufficient information.
Correct answer
0.4
Amit took a survey of a group of 32 college going students (consisting only of male and female students) to know whether they own a smartphone or not and he got to know the following information.
(i). There are 3 males who do not own a smartphone.
(ii). There are total 27 females.
(iii). There are total 26 students who do not own a smartphone.
Based on the above information, answer the given subquestions.
Create a two-way contingency table and find out the number of males in this group who own a smartphone?
0
2
3
4
Correct answer
2
Amit took a survey of a group of 32 college going students (consisting only of male and female students) to know whether they own a smartphone or not and he got to know the following information.
(i). There are 3 males who do not own a smartphone.
(ii). There are total 27 females.
(iii). There are total 26 students who do not own a smartphone.
Based on the above information, answer the given subquestions.
Choose the correct option(s) after making a two-way contingency table.
There are 40% of the males who do not own a smartphone.
There are 14.81% of the females who own a smartphone.
18.75% of the total students own a smartphone.
We can calculate covariance to find the association between “Gender” and “Ownership of the smartphone”.
Correct answers
There are 14.81% of the females who own a smartphone.
18.75% of the total students own a smartphone.
Consider the following three statements:
Statement 1 : Election symbol is a categorical variable.
Statement 2 : Election symbol has a nominal scale of measurement.
Statement 3 : Number of votes received by a candidate is a continuous variable.
Choose the correct option from the following:
Statement-2 and statement-3 both are correct.
Statement-1 and statement-3 both are correct.
Statement-1 and statement-2 both are correct.
All statements are correct.
Correct answer
Statement-1 and statement-2 both are correct.
Choose the correct statement from the following:
Descriptive statistics is concerned with drawing of conclusions from the sample data.
Inferential statistics is concerned with describing and summarizing the data.
Inferential statistics doesn’t require sample data.
All statements are incorrect.
Correct answer
All statements are incorrect.
Consider the following four images of the Scatter plot.
Please select the option that will represent the correlation values arranged in ascending order.
A < B < C < D
B < C < D < A
B < A < C < D
A < D < C < B
Correct answer
B < C < D < A
Correct answer: 9.93 (accepted within ±0.03)
Find the population covariance between X and Y for the dataset given in Table Q.2.
Correct answer: 0
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.
Find the mean of the marks scored by Nitin.
Correct answer: 75
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.
25
50
12.5
Cannot determine
Correct answer
12.5
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.
Calculate the correlation coefficient between the marks scored by Manoj and Nitin.
Correct answer: 1
Based on the above data, answer the given subquestions
What will be the median age for this group?
Correct answer: 31
Based on the above data, answer the given subquestions
How many people are above 23 years of Age in the given stem and leaf plot?
Correct answer: 8
Correct answer: 90
Choose the correct option(s):
25th percentile is known as the first quartile.
Median is the 60th percentile of any data.
Inter-quartile range is defined as the difference between third quartile and second quartile.
We need to arrange the data in ascending order to calculate the percentile.
Correct answers
25th percentile is known as the first quartile.
We need to arrange the data in ascending order to calculate the percentile.
