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January 2022 term · Statistics for Data Science I · BSMA1002

Stats 1 Quiz 1: 30 January 2022, Set QPB2 (January 2022 term)

The IIT Madras BS Statistics for Data Science I (Stats 1) Quiz 1 paper sat on 30 Jan 2022, in the January 2022 term, set QPB2: 15 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
15
Marks
50
Duration
120 min
Numerical
3
MCQ
8
MSQ
4
Take as mock testPractise with answers

Updated

Official paper: IIT M FOUNDATION QUIZ EXAM QPB2 30 Jan 2022 · No negative marking.

Question 1

+4 marksNumerical answer
Show answer

Correct answer: 18

Question 1 on its own page

Question 2

+4 marksNumerical answer

Find the correlation coefficient between X and Y for the dataset given in Table Q.4.

Show answer

Correct answer: 0

Question 2 on its own page

Question 3

+2 marksOne correct option

Choose the correct statement about categorical data:

  1. A

    Categorical data have measurement units.

  2. B

    Categorical data can take numerical values, but no meaningful mathematical operations can be performed on it.

  3. C

    Categorical data is quantitative in nature.

  4. D

    Histogram is one of the graphical representations of categorical data.

Show answer

Correct answer

  • B

    Categorical data can take numerical values, but no meaningful mathematical operations can be performed on it.

Question 3 on its own pageAlso asked in Quiz 1 30 Jan 2022

Question 4

+2 marksOne correct option

An analyst wants to conduct a survey for testing the maintenance of hospitals in a particular district in Madhya Pradesh, for which he selects 15 hospitals randomly from that district. Identify the sample and population.

  1. A

    The population is all the hospitals in Madhya Pradesh and the sample is all the hospitals in the district.

  2. B

    The population is all the hospitals in Madhya Pradesh and the sample is 15 selected hospitals in Madhya Pradesh.

  3. C

    The population is all hospitals in the district of Madhya Pradesh and the sample is 15 selected hospitals in the district.

  4. D

    None of these.

Show answer

Correct answer

  • C

    The population is all hospitals in the district of Madhya Pradesh and the sample is 15 selected hospitals in the district.

Question 4 on its own pageAlso asked in Quiz 2 6 Aug 2023

Question 5

+2 marksOne correct option

Which of the following statements is correct?

  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 cross-sectional data.

  3. C

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

  4. D

    Jersey number of cricket players is a numeric variable.

Show answer

Correct answer

  • A

    Blood group of a person is a nominal variable.

Question 5 on its own page

Question 6

+3 marksNumerical answer

If the sum of 7 observations is 28 and sum of their squares is 140, then calculate the population variance.

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Correct answer: 4

Question 6 on its own page

Question 7

+3 marksOne or more correct options

Choose the correct statement/s :

Select all that apply.

  1. A

    Mode is sensitive to outliers in the data.

  2. B

    Median is not sensitive to outliers in the data.

  3. C

    Mean value calculated for a continuous data from the frequency table is the approximate mean of the data.

  4. D

    Adding a constant to each observation in a dataset changes the variability of that dataset.

Show answer

Correct answers

  • B

    Median is not sensitive to outliers in the data.

  • C

    Mean value calculated for a continuous data from the frequency table is the approximate mean of the data.

Question 7 on its own page

Question 8

+5 marksOne or more correct options

A sports car company conducted a survey to identify the willingness of different age groups in buying their new model that is about to be launched, and the results are given in Table Q.3.

Choose the correct option/s?

Select all that apply.

  1. A

    More than 35% of individuals are not willing to buy the new model of sports car.

  2. B

    Approximately 40% of individuals in the age group 19-30 years are not willing to buy the new model of sports car.

  3. C

    There is no association between the age group and willingness to buy the car.

  4. D

    There is an association between the age group and willingness to buy the car.

Show answer

Correct answers

  • B

    Approximately 40% of individuals in the age group 19-30 years are not willing to buy the new model of sports car.

  • D

    There is an association between the age group and willingness to buy the car.

Question 8 on its own page

Question 9

+4 marksOne or more correct options

There is a strong negative correlation between the marks obtained by students of class 10*^(th)* and class 12*^(th)* in Statistics. If the population standard deviation of the marks obtained by students of class 10*^(th)* and 12*^(th)* is 5 and 2 respectively, then which of the following is/are could be a possible value of the population covariance between the marks obtained by the students of class 10*^(th)* and 12*^(th)* in Statistics?

Select all that apply.

  1. A

    -7

  2. B

    -8

  3. C

    -9.5

  4. D

    -11

Show answer

Correct answers

  • B

    -8

  • C

    -9.5

Question 9 on its own page

Question 10

+3 marksOne correct option

IQR (Interquartile range) of the data 15, 21, 41, 25 and 19 is:

  1. A

    21

  2. B

    25

  3. C

    6

  4. D

    4

Show answer

Correct answer

  • C

    6

Question 10 on its own page

Question 11

+3 marksOne or more correct options

An inspection team evaluates schools in different states in India. The grade awarded to each school depends on the marks given by the inspection team. 300 randomly selected schools in Chennai and Delhi were inspected by the team and the data is given in Table Q.1. Based on the given information, answer the subquestions.

Which of the following measure(s) of central tendency can be computed for the given data?

Select all that apply.

  1. A

    Mean

  2. B

    Median

  3. C

    Mode

  4. D

    None of these

Show answer

Correct answers

  • B

    Median

  • C

    Mode

Question 11 on its own page

Question 12

+2 marksOne correct option

An inspection team evaluates schools in different states in India. The grade awarded to each school depends on the marks given by the inspection team. 300 randomly selected schools in Chennai and Delhi were inspected by the team and the data is given in Table Q.1. Based on the given information, answer the subquestions.

After the inspection of 300 schools, the inspection team issued a statement in the media that the grading of all Chennai schools is greater than that of all Delhi schools. The statistical analysis that has helped to reach at this statement is:

  1. A

    Descriptive statistics

  2. B

    Inferential statistics

Show answer

Correct answer

  • B

    Inferential statistics

Question 12 on its own page

Question 13

+3 marksOne correct option

An inspection team evaluates schools in different states in India. The grade awarded to each school depends on the marks given by the inspection team. 300 randomly selected schools in Chennai and Delhi were inspected by the team and the data is given in Table Q.1. Based on the given information, answer the subquestions.

Which of the following graphical representations is most appropriate for the count of schools in each grade category for the given data?

  1. A

    Bar chart

  2. B

    Pie chart

  3. C

    Pareto chart

  4. D

    Both bar chart and pareto chart

Show answer

Correct answer

  • A

    Bar chart

Question 13 on its own page

Question 14

+5 marksOne correct option

The number of awards awarded to IIT Madras sports club each year for exceptional performance in tournaments is represented in Fig, Q.2. Based on the given information,
answer the subquestions.

What is the mean number of awards awarded to IIT Madras sports club if each observation is doubled after adding 5 to it?

  1. A

    50

  2. B

    55

  3. C

    60

  4. D

    30

Show answer

Correct answer

  • C

    60

Question 14 on its own page

Question 15

+5 marksOne correct option

The number of awards awarded to IIT Madras sports club each year for exceptional performance in tournaments is represented in Fig, Q.2. Based on the given information,
answer the subquestions.

What is the population variance of data of the given data if 5 is added to each observation?

  1. A

    78.6

  2. B

    83.6

  3. C

    88.6

  4. D

    93.6

Show answer

Correct answer

  • C

    88.6

Question 15 on its own page