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Stats I · Qualifier · January 2023

BSMA1002 · 13 questions · 40 marks · 45 min

Answer key Take as mock

Indian Institute of Technology Madras

BS Degree Programme · Examination & Study Paper

BSMA1002 · Statistics for Data Science I

Qualifier · January 2023

Official Paper

Examination Instructions & Guidelines

Solve on notebook/paper first before checking solutions.
MCQ: Exactly 1 option is correct. Negative marking applies.
MSQ: One or more options correct. Select all to score.
NAT: Numerical response. No negative marking.
Scientific calculator allowed for all calculations.
Official answer key is sealed at the end of this sheet.

Read the passage below, then answer Q1–Q2
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.
Q1MCQ2 Marks·Choose one option
Key ↓
Which of the following category does not represent the mode?
1. AAnalytics
2. BSoftware
3. CCore
4. DInsufficient information
Q2NAT3 Marks·Write the number
Asked 6 times Key ↓
If 1200 students are placed during the placement season of 2021-22, then find the number of students placed in core companies?
Your answer:
Q3MSQ3 Marks·Choose all correct options
Key ↓
Which of the following statements is/are true?
1. AA sample is the subset of a population.
2. BNumerical variables can have all the properties of ordinal and nominal scales of measurement.
3. CCategorical variable can have numerical properties.
4. DCorrelation coefficient measures a linear association between two numerical variables.
Q4MSQ3 Marks·Choose all correct options
Asked 3 times Key ↓
Which of the following represent(s) cross sectional data?
1. ACensus of tigers estimated in four different countries in 2021.
2. BYearly irrigation report released by a government over the period of ten years.
3. CRevenue generated by a company in four different states in 2022.
4. DMonthly expenditure of a family in 2020.
Q5MSQ3 Marks·Choose all correct options
Asked 5 times Key ↓
Choose the correct statement/s ?
1. AA nominal scale has the property of labelling the categories and it does not involve the ranking of data.
2. BAn ordinal scale has all the properties of nominal scale and it involves the ranking of data.
3. CAn Interval scale has all the properties of ordinal scale and it satisfies the absolute zero property.
4. DA ratio scale has all the properties of interval scale and it does not satisfy the absolute zero property.
Q6MCQ4 Marks·Choose one option
Asked 3 times Key ↓
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?
1. A-8
2. B20
3. C40
4. D8
Q7MSQ4 Marks·Choose all correct options
Asked 4 times Key ↓
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?
1. AOf all the literate adults, 25% do not participate in voting.
2. BOf all the illiterate adults, 72.73% participate in voting.
3. CIf all row relative frequencies are similar within each column then, it implies that all column relative frequencies will also be similar within each row.
4. DIf all column relative frequencies are similar within each row then, it does not imply that all row relative frequencies will also be similar within each column.
5. EThere is no association between literacy and voting participation.
6. FThere is an association between literacy and voting participation.
Read the passage below, then answer Q8–Q9
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.
Q8MCQ2 Marks·Choose one option
Asked 4 times Key ↓
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 ?
1. ADescriptive statistics
2. BInferential statistics
Q9NAT4 Marks·Write the number
Key ↓
What is the sample standard deviation of salary (in thousand rupees)? (Enter the answer correct to 2 decimal accuracy)
Your answer:
Read the passage below, then answer Q10–Q11
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
Q10NAT3 Marks·Write the number
Asked 3 times Key ↓
What is the median height(in cm) of an athlete?
Your answer:
Q11NAT3 Marks·Write the number
Asked 3 times Key ↓
What is the mode of the heights (in cm) of athletes?
Your answer:
Q12NAT3 Marks·Write the number
Asked 4 times Key ↓
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.
Your answer:
Q13MCQ3 Marks·Choose one option
Asked 2 times Key ↓
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?
1. AThere is no correlation between X and Y .
2. BThere is a weak positive correlation between X and Y .
3. CThere is a strong positive correlation between X and Y .
4. DInsufficient information.

Official Key

Master Answer Key & Explanations

Official answer keys from IIT Madras BS past papers. Click any question to review.

Reveal Key

Q1C

Q2300

Q3A, B, D

Q4A, C

Q5A, B

Q6C

Q7A, B, C, E

Q8B

Q912.22 to 12.28

Q10175

Q11175

Q1270

Q13C

Questions and answer keys are reproduced from the official IIT Madras BS papers. BTechi is not affiliated with IIT Madras.