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May 2022 term · Statistics for Data Science I · BSMA1002

Statistics for Data Science I Quiz 1: 5 June 2022 (May 2022 term)

The IIT Madras BS Statistics for Data Science I (Stats 1) Quiz 1 paper sat on 5 Jun 2022, in the May 2022 term: 14 questions for 50 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
50
Duration
120 min
MSQ
5
Numerical
6
MCQ
3
Take as mock testPractise with answers

Updated

Official paper: IIT M FOUNDATION QUIZ1 EXAM QPB1 05 Jun 2022 · No negative marking.

Question 1

+3 marksOne or more correct options

An administrator at IIT Madras campus wants to conduct a survey to rate the tiffin services offered by the campus’s cafeteria to the final year students, for which the administrator selects 100 final year students randomly from the campus. Identify the sample and population.

Select all that apply.

  1. A

    The population is all the students at IIT Madras campus.

  2. B

    The sample is all the final year students at IIT Madras campus.

  3. C

    The sample is 100 randomly selected final year students at IIT Madras campus.

  4. D

    The population is all the final year students at IIT Madras campus.

Show answer

Correct answers

  • C

    The sample is 100 randomly selected final year students at IIT Madras campus.

  • D

    The population is all the final year students at IIT Madras campus.

Question 1 on its own pageAlso asked in Qualifier 24 Mar 2024, Qualifier 1 Sept 2024

Question 2

+4 marksNumerical answer

What is the mean of the modified marks of students?

Show answer

Correct answer: 13

Question 2 on its own page

Question 3

+5 marksNumerical answer

What is the population standard deviation of the modified marks of students?

Show answer

Correct answer: 2

Question 3 on its own page

Question 4

+4 marksNumerical answer

Figure Q.2 shows the pie chart representation of the weightage distribution of 5 different subjects in an exam. Based on this information, answer the given subquestions.

If the exam is of 200 marks, then what is the aggregate distribution of marks in Maths and Biology?

Show answer

Correct answer: 56

Question 4 on its own page

Question 5

+3 marksOne or more correct options

Figure Q.2 shows the pie chart representation of the weightage distribution of 5 different subjects in an exam. Based on this information, answer the given subquestions.

Choose the correct statement(s):

Select all that apply.

  1. A

    The pie chart is misleading because it does not obey the area principle.

  2. B

    The pie chart has round off errors.

  3. C

    The pie chart is not a misleading graph.

  4. D

    The slices of pie chart adds up to 100%.

Show answer

Correct answers

  • C

    The pie chart is not a misleading graph.

  • D

    The slices of pie chart adds up to 100%.

Question 5 on its own page

Question 6

+4 marksNumerical answer

The data of the different languages spoken by the students of a class is given in Table 1.2.Q.

Based on the given information, answer the subquestions

If Hindi is the only mode of the given data, then what is the maximum possible value of relative frequency of German? (Enter the answer correct to 3 decimal places)

Show answer

Correct answer: 0.156 (accepted within ±0.005)

Question 6 on its own page

Question 7

+3 marksOne correct option

The data of the different languages spoken by the students of a class is given in Table 1.2.Q.

Based on the given information, answer the subquestions

If the relative frequency of German is 0.20, then what is the median of the given data?

  1. A

    Spanish

  2. B

    Hindi

  3. C

    German

  4. D

    Median is not defined for given data

Show answer

Correct answer

  • D

    Median is not defined for given data

Question 7 on its own page

Question 8

+5 marksNumerical answer

The data of the hours of sunshine in Tamil Nadu and the sales of ice-cream at an ice-cream parlour in the IIT Madras campus per day is recorded for 7 days and tabulated in Table 1.1.Q.

What is the correlation coefficient between the hours of sunshine and the sales of ice-cream? (Enter the answer correct to 2 decimal accuracy)

Show answer

Correct answer: 0.82 (accepted within ±0.05)

Question 8 on its own page

Question 9

+3 marksOne or more correct options

Choose the incorrect statement(s):

Select all that apply.

  1. A

    Battery life of laptop is numeric and continuous variable.

  2. B

    Number of deliveries faced by a batsman has an interval scale of
    measurement.

  3. C

    Soccer positions (i.e. Defender, Midfielder, Forward) has an ordinal scale of measurement.

  4. D

    The marital status of a person has a nominal scale of measurement.

Show answer

Correct answers

  • B

    Number of deliveries faced by a batsman has an interval scale of
    measurement.

  • C

    Soccer positions (i.e. Defender, Midfielder, Forward) has an ordinal scale of measurement.

Question 9 on its own page

Question 10

+3 marksNumerical answer

The data on number of the attempts taken by players to score a goal in a football match is shown in Fig. Q.1.

What is the IQR (Inter Quartile Range) of the data?

Show answer

Correct answer: 9

Question 10 on its own page

Question 11

+3 marksOne or more correct options

The data of different countries is recorded in Table 1.3.Q to check if the GDP (Gross Domestic Product) depends on the birth rate.

Based on the given information, answer the subquestions

Which of the given option(s) is(are) correct?

Select all that apply.

  1. A

    Country is the explanatory variable.

  2. B

    GDP is the explanatory variable.

  3. C

    GDP is the response variable.

  4. D

    Birth rate is the response variable.

Show answer

Correct answer

  • C

    GDP is the response variable.

Question 11 on its own page

Question 12

+3 marksOne correct option

The data of different countries is recorded in Table 1.3.Q to check if the GDP (Gross Domestic Product) depends on the birth rate.

Based on the given information, answer the subquestions

By using the scatter plot for the data given in Table 1.3.Q, we can conclude that:

  1. A

    There is a positive linear association between the birth rate and GDP.

  2. B

    There is a negative linear association between the birth rate and GDP.

  3. C

    There is no linear association between the birth rate and GDP.

Show answer

Correct answer

  • B

    There is a negative linear association between the birth rate and GDP.

Question 12 on its own page

Question 13

+4 marksOne or more correct options

The scores of Namita in first five weekly assignments are 50, 50, 55, 60, 65. If she scored 51 marks in the sixth week assignment, then how does it affect her overall performance?

Select all that apply.

  1. A

    The mean score of weekly assignment increases.

  2. B

    The modal score of weekly assignment increases.

  3. C

    The median score of weekly assignment increases.

  4. D

    None of these

Show answer

Correct answer

  • D

    None of these

Question 13 on its own page

Question 14

+3 marksOne correct option

Which of the following statements is incorrect?

  1. A

    Blood group of a person is a nominal variable.

  2. B

    Recording the price of bitcoin every hour for 3 days is a time-series data.

  3. C

    The inventory of all ice creams in stock at different ice-cream parlors at the end of the day is a cross-sectional data.

  4. D

    Jersey number of cricket players is a numeric variable.

Show answer

Correct answer

  • D

    Jersey number of cricket players is a numeric variable.

Question 14 on its own pageAlso asked in Quiz 1 30 Jan 2022