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January 2024 term · Statistics for Data Science I · BSMA1002

Statistics for Data Science I Quiz 1: 25 February 2024 (January 2024 term)

The IIT Madras BS Statistics for Data Science I (Stats 1) Quiz 1 paper sat on 25 Feb 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.

Questions
14
Marks
40
Duration
120 min
MCQ
5
MSQ
6
Numerical
3

Updated

Official paper: IIT M DIPLOMA AN2 EXAM QDD2 25 Feb 2024 · No negative marking.

Question 1

+2 marksOne correct option
  1. A

    There is an association between “Gender” and “Willingness” as row relative frequencies will be approximately same for all rows.

  2. B

    There is no association between “Gender” and “Willingness” as row relative frequencies will be approximately same for all rows.

  3. C

    There is an association between “Gender” and “Willingness” as row relative frequencies will be different for all rows.

  4. D

    There is no association between “Gender” and “Willingness” as row relative frequencies will be different for all rows.

Show answer

Correct answer

  • B

    There is no association between “Gender” and “Willingness” as row relative frequencies will be approximately same for all rows.

Question 2

+4 marksOne or more correct options

Select all that apply.

  1. A

    There are 9 students who have scored greater than 20 marks.

  2. B

    The data is bimodal.

  3. C

    Mean is greater than the median.

  4. D

    Interquartile range is 28.

Show answer

Correct answers

  • C

    Mean is greater than the median.

  • D

    Interquartile range is 28.

Question 3

+4 marksNumerical answer
Show answer

Correct answer: 39

Question 4

+4 marksNumerical answer
Show answer

Correct answer: 70

Question 5

+2 marksOne or more correct options

To ensure the accuracy of conclusions drawn through inferential statistics, which of the following statement(s) must be true?

Select all that apply.

  1. A

    Sample should not be randomly selected.

  2. B

    Sample should be randomly selected.

  3. C

    Sample should be a good representative of the population.

  4. D

    Sample should not be representative of the population.

Show answer

Correct answers

  • B

    Sample should be randomly selected.

  • C

    Sample should be a good representative of the population.

Question 6

+2 marksOne or more correct options

Which of the following statement(s) is/are true?

Select all that apply.

  1. A

    The gross annual income for each of 1000 randomly chosen households in New York City for the year 2000 is a time series data.

  2. B

    Passenger Name Record (PNR) number has an ordinal scale of measurement.

  3. C

    Revenue generated by India through tea exports to 10 different countries in year 2010 is a cross-sectional data.

  4. D

    Shirt size is a categorical variable.

Show answer

Correct answers

  • C

    Revenue generated by India through tea exports to 10 different countries in year 2010 is a cross-sectional data.

  • D

    Shirt size is a categorical variable.

Question 7

+1 markOne correct option

An analyst conducted a survey to understand the opinions of college students regarding the quality of education at their institution. He collected the data from 10 students as:
“Fair”, “Fair”, ”Excellent”, “Poor”, “Fair”, “Excellent”, “Poor”, “Poor”, “Excellent”, and “Poor”. Based on the above data, answer the given subquestions.

What is the mode of the given data?

  1. A

    Excellent

  2. B

    Poor

  3. C

    Fair

  4. D

    Mode is not defined for the given data

Show answer

Correct answer

  • B

    Poor

Question 8

+2 marksOne correct option

An analyst conducted a survey to understand the opinions of college students regarding the quality of education at their institution. He collected the data from 10 students as:
“Fair”, “Fair”, ”Excellent”, “Poor”, “Fair”, “Excellent”, “Poor”, “Poor”, “Excellent”, and “Poor”. Based on the above data, answer the given subquestions.

What is the median of the given data?

  1. A

    Poor

  2. B

    Fair

  3. C

    Excellent

  4. D

    Median is not defined for given data

Show answer

Correct answer

  • B

    Fair

Question 9

+5 marksOne or more correct options

Select all that apply.

  1. A

    Of all the shirts with Polo style, there are 26.67% shirts of Medium size.

  2. B

    Of all the shirts with Small size, there are 25% shirts of Small Print style.

  3. C

    There is no association between the size and style of shirts.

  4. D

    There is an association between the size and style of shirts.

Show answer

Correct answers

  • A

    Of all the shirts with Polo style, there are 26.67% shirts of Medium size.

  • D

    There is an association between the size and style of shirts.

Question 10

+3 marksOne correct option
  1. A
  2. B
  3. C
  4. D
Show answer

Correct answer

  • C

Question 11

+3 marksOne correct option

Select the correct statements from the following:

  1. A

    Two data sets with the identical frequency distributions will have identical relative frequency distributions.

  2. B

    A relative frequency is the number of observations belonging to a category.

  3. C

    Two data sets with the identical relative-frequency distributions will always have identical frequency distributions.

  4. D

    If all of the bars in a bar chart have the same length, then the categorical variable shown in the bar chart has no variation.

Show answer

Correct answer

  • A

    Two data sets with the identical frequency distributions will have identical relative frequency distributions.

Question 12

+2 marksNumerical answer

Find the value of 10x.

Show answer

Correct answer: 357

Question 13

+3 marksOne or more correct options

Choose the correct statement(s) from the following.

Select all that apply.

  1. A

    Mode of the data is solar energy.

  2. B

    Median of the data is wind energy.

  3. C

    The combined consumption of the hydro, biomass and geothermal energy is more than the wind energy consumption.

  4. D

    The consumption of solar energy is 120 kWh.

Show answer

Correct answers

  • A

    Mode of the data is solar energy.

  • C

    The combined consumption of the hydro, biomass and geothermal energy is more than the wind energy consumption.

Question 14

+3 marksOne or more correct options

Select all that apply.

  1. A

    Purchase and Region are categorical variables.

  2. B

    Income Range has nominal scale of measurement.

  3. C

    Age has a ratio scale of measurement.

  4. D

    Household size is a discrete numerical variable.

  5. E

    Purchase has an ordinal scale of measurement.

Show answer

Correct answers

  • A

    Purchase and Region are categorical variables.

  • C

    Age has a ratio scale of measurement.

  • D

    Household size is a discrete numerical variable.