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January 2025 term · Statistics for Data Science I · BSMA1002

Statistics for Data Science I Quiz 1: 23 February 2025 (January 2025 term)

The IIT Madras BS Statistics for Data Science I (Stats 1) Quiz 1 paper sat on 23 Feb 2025, in the January 2025 term: 17 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
17
Marks
40
Duration
120 min
MCQ
4
MSQ
5
Numerical
8

Updated

Official paper: IIT M FOUNDATION AN EXAM QDF2 23 Feb 2025 · No negative marking.

Question 1

+2 marksOne correct option

A researcher collects data on the number of books read by students in a semester. The data collected is:

  1. A

    Nominal and Qualitative

  2. B

    Ordinal and Qualitative

  3. C

    Interval and Quantitative

  4. D

    Ratio and Quantitative

Show answer

Correct answer

  • D

    Ratio and Quantitative

Question 2

+2 marksOne correct option
  1. A

    0.10

  2. B

    0.60

  3. C

    0.20

  4. D

    0.30

Show answer

Correct answer

  • A

    0.10

Question 3

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

Correct answer

  • B

Question 4

+2 marksOne or more correct options

Suppose a survey asks respondents to indicate their favorite type of food (e.g., Italian, Chinese, Indian, Mexican). Which of the following option(s) is (are) true?

Select all that apply.

  1. A

    The data is nominal.

  2. B

    The data is ordinal.

  3. C

    The data is quantitative.

  4. D

    The data is qualitative.

Show answer

Correct answers

  • A

    The data is nominal.

  • D

    The data is qualitative.

Question 5

+2 marksOne or more correct options

A teacher randomly selects 5 students from each class in a school. Based on the performance of these students, she wants to assess the overall performance of the school. Which of the following option(s) is (are) true?

Select all that apply.

  1. A

    Students of a particular class will represent the population.

  2. B

    Students of a particular class form the sample.

  3. C

    The school as a whole represents the population.

  4. D

    The 5 students from each class form the sample.

Show answer

Correct answers

  • C

    The school as a whole represents the population.

  • D

    The 5 students from each class form the sample.

Question 6

+2 marksOne or more correct options

Select all that apply.

  1. A
  2. B
  3. C
  4. D
Show answer

Correct answers

  • A
  • D

Question 7

+3 marksOne or more correct options

If we have a dataset 18, 37, 24, 56, 62, 120, then choose the correct option(s):

Select all that apply.

  1. A

    Range of the dataset is 102.

  2. B

    Median of the dataset is 46.5.

  3. C

    25th percentile of the dataset is 24.

  4. D

    IQR (Inter-quartile range) of the dataset is 59.

Show answer

Correct answers

  • A

    Range of the dataset is 102.

  • B

    Median of the dataset is 46.5.

  • C

    25th percentile of the dataset is 24.

Question 8

+3 marksNumerical answer
Show answer

Correct answer: 15

Question 9

+2 marksOne or more correct options

A grocery store owner wants to analyze the prices of different brands of packaged snacks in his store. He randomly collected 10 snack packets and their prices (in rupees) are 120, 450, 620, 200, 280, 670, 150, 190, 310, 400 respectively. Based on the given information, answer the given sub- questions:

At what price do the top 25% of snack packets start? (More than one option can be correct)

Select all that apply.

  1. A

    It corresponds to the third quartile.

  2. B

    450 Rupees.

  3. C

    It corresponds to the first quartile.

  4. D

    190 Rupees.

Show answer

Correct answers

  • A

    It corresponds to the third quartile.

  • B

    450 Rupees.

Question 10

+2 marksNumerical answer

A grocery store owner wants to analyze the prices of different brands of packaged snacks in his store. He randomly collected 10 snack packets and their prices (in rupees) are 120, 450, 620, 200, 280, 670, 150, 190, 310, 400 respectively. Based on the given information, answer the given sub- questions:

What is the Interquartile Range (IQR) of the snack packet prices?

Show answer

Correct answer: 260

Question 11

+2 marksNumerical answer

Based on the above data, answer the given subquestions.

Find the number of students from Uttar Pradesh.

Show answer

Correct answer: 30

Question 12

+3 marksNumerical answer

Based on the above data, answer the given subquestions.

If the number of participated students from Delhi is twice than the number of students participated from Maharastra, then find the value of y.

Show answer

Correct answer: 32

Question 13

+3 marksNumerical answer

Based on the above data, answer the given subquestions.

What is the average monthly salary of the employees if each observation is increased by 3 and then multiplied by 2?

Show answer

Correct answer: 52

Question 14

+3 marksNumerical answer

Based on the above data, answer the given subquestions.

What is the population variance of the given data if 10 is added to each observation?

Show answer

Correct answer: 64

Question 15

+3 marksNumerical answer

Based on the above data, answer the given subquestions.

Find the total number of questions attempted by Astha and Deepanshu together.

Show answer

Correct answer: 24

Question 16

+1 markNumerical answer

Based on the above data, answer the given subquestions.

What is the value of x ? Enter the answer correct to two decimal places.

Show answer

Correct answer: 0.25 (accepted within ±0.03)

Question 17

+2 marksOne correct option

Based on the above data, answer the given subquestions.

What is the value of y + z ?

  1. A

    0.2

  2. B

    0.24

  3. C

    0.4

  4. D

    Insufficient information.

Show answer

Correct answer

  • C

    0.4