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May 2026 term · Statistics for Data Science I · BSMA1002

Statistics for Data Science I Quiz 1: 19 July 2026 (May 2026 term)

The IIT Madras BS Statistics for Data Science I (Stats 1) Quiz 1 paper sat on 19 Jul 2026, in the May 2026 term: 18 questions for 43 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
18
Marks
43
Duration
120 min
MSQ
5
Written
11
MCQ
2
Take as mock testPractise with answers

Updated

Official paper: Statistics1 16 Jul 26 · No negative marking.

Question 1

+2 marksOne or more correct options

A researcher selects 200 scholars from a research institute and records their registration numbers, the time spent on their research projects per week (in hours), their monthly stipend (in Rs.), alongside their preferred mode of conducting research (Laboratory-based, Computer-based, or Hybrid). Based on this study, choose all the correct statements from the following:

Select all that apply.

  1. A

    "All scholars in the institute" represents the population, while "the 200 selected scholars" represents the sample.

  2. B

    The "preferred mode of research" is a qualitative variable, whereas the "time spent on research per week" is a quantitative variable.

  3. C

    The time spent on research per week is a categorical variable.

  4. D

    The Registration numbers are numerical variables.

  5. E

    Monthly stipend measured in rupees is a numerical variable.

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Correct answers

  • A

    "All scholars in the institute" represents the population, while "the 200 selected scholars" represents the sample.

  • B

    The "preferred mode of research" is a qualitative variable, whereas the "time spent on research per week" is a quantitative variable.

  • E

    Monthly stipend measured in rupees is a numerical variable.

Question 1 on its own page

Question 2

+2 marksOne or more correct options

Which of the following statements is/are meaningful?

Select all that apply.

  1. A

    A person ranked 2nd performed twice as well as a person ranked 4th.

  2. B

    A temperature of is twice as hot as a temperature of .

  3. C

    A package weighing kg is twice as heavy as a package weighing kg.

  4. D

    Blood groups do not have a natural ordering.

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Correct answers

  • C

    A package weighing kg is twice as heavy as a package weighing kg.

  • D

    Blood groups do not have a natural ordering.

Question 2 on its own page

Question 3

+2 marksOne or more correct options

Choose all the correct statements from the following:

Select all that apply.

  1. A

    Monthly electricity consumption of a household from January 2025 to December 2025 is a Time-series data.

  2. B

    Marks obtained by all students in a Statistics exam in Quiz 1 is a Time-series data.

  3. C

    Monthly salaries of 500 employees in a company recorded in June 2026 is a cross-sectional data.

  4. D

    Marks obtained by a particular student in Statistics tests conducted every month during the year is cross sectional data.

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Correct answers

  • A

    Monthly electricity consumption of a household from January 2025 to December 2025 is a Time-series data.

  • C

    Monthly salaries of 500 employees in a company recorded in June 2026 is a cross-sectional data.

Question 3 on its own page

Question 4

+2 marksWritten answer

, , , and are observations, and the sum of their frequencies is 200. The relative frequencies corresponding to , , and are 20%, 25%, and 30%, respectively. Based on this information, answer the given subquestions:

What is the frequency corresponding to ?

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Question 4 on its own page

Question 5

+3 marksWritten answer

, , , and are observations, and the sum of their frequencies is 200. The relative frequencies corresponding to , , and are 20%, 25%, and 30%, respectively. Based on this information, answer the given subquestions:

What will be the cumulative frequency of , , and ?

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Question 5 on its own page

Question 6

+1 markOne correct option

Figure 1 represents the placement percentage of students in different sectors from an engineering college.

Based on the given data, answer the given subquestions:

Figure 1 represents the placement percentage of students in different sectors from an engineering college.

What is the mode of the placement sectors?

  1. A

    Analytics

  2. B

    Software

  3. C

    Consultancy

  4. D

    Core

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Correct answer

  • B

    Software

Question 6 on its own page

Question 7

+3 marksOne correct option

Figure 1 represents the placement percentage of students in different sectors from an engineering college.

Based on the given data, answer the given subquestions:

Figure 1 represents the placement percentage of students in different sectors from an engineering college.

If 1000 students were placed according to the percentages shown in the pie chart, which of the following statements is true?

  1. A

    The difference between the number of students placed in Core and the sum of those in Consultancy and Analytics is 100.

  2. B

    The mode of the placement sectors is shared by Analytics and Software.

  3. C

    The sector with the second-highest placement has 50 more students placed than the lowest sector.

  4. D

    The sector with the least placement has half as many students as the highest placed sector.

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Correct answer

  • C

    The sector with the second-highest placement has 50 more students placed than the lowest sector.

Question 7 on its own page

Question 8

+2 marksWritten answer

600 students are classified according to their level of attendance and academic performance. The results are given in Table 1.

Based on the above data, answer the given subquestions.

600 students are classified according to their level of attendance and academic performance. The results are given in Ta

What proportion of total students are irregular? (Enter the answer correct to 1 decimal places)

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Question 8 on its own page

Question 9

+2 marksWritten answer

600 students are classified according to their level of attendance and academic performance. The results are given in Table 1.

Based on the above data, answer the given subquestions.

600 students are classified according to their level of attendance and academic performance. The results are given in Ta

What proportion of irregular students are having low academic performance? (Enter the answer correct to 2 decimal places)

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Question 9 on its own page

Question 10

+4 marksOne or more correct options

In a deck, there are cards numbered to such that the number of cards of a particular number in the deck is same as the number on the card. Which of the following statement(s) is/are true about the mean and mode of the numbers on this deck of card? Hint:

In a deck, there are cards numbered to such that the number of cards of a particular number in the deck is same as the

Select all that apply.

  1. A

    Mode is not defined for this data.

  2. B

    Mean is .

  3. C

    Mode is .

  4. D

    Mode is .

  5. E

    Mean is .

  6. F

    Mean is .

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Correct answers

  • C

    Mode is .

  • F

    Mean is .

Question 10 on its own page

Question 11

+4 marksOne or more correct options

A total of students wrote a competitive exam. Rahul's score is denoted by , which happens to be exactly at the percentile. Suppose the examiner realizes that there was a grading error on Rahul's paper, and his score needs to increase slightly but remains below percentile values; Choose all the correct statements from the following:

Select all that apply.

  1. A

    In the original results, approximately students scored less than or equal to .

  2. B

    Changing the value of will definitely alter the mean score of the students.

  3. C

    Changing the value of will not alter the median score of the students.

  4. D

    Changing the value of will definitely change the total range of scores.

  5. E

    Changing the value of will definitely change the Inter quartile Range (IQR) of the data set.

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Correct answers

  • A

    In the original results, approximately students scored less than or equal to .

  • B

    Changing the value of will definitely alter the mean score of the students.

  • C

    Changing the value of will not alter the median score of the students.

Question 11 on its own page

Question 12

+4 marksWritten answer

The mean of the values in a given dataset is . When these values are rearranged in a certain order, the mean of the first values and the last values are and respectively. Find the tenth value after the rearrangement.

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Question 13

+2 marksWritten answer

Figure 2 shows a scatter plot of calorie intake ( ) and weight gain in a week ( ) for a person.

Based on the relationship shown in Figure 2, what is the value of when ?

Figure 2 shows a scatter plot of calorie intake ( ) and weight gain in a week ( ) for a person.
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Question 14

+2 marksWritten answer

A survey was conducted among a group of students to determine their preferred subjects. The raw frequencies of their responses are displayed in the bar chart in Figure 3.

Based on the bar chart, what is the relative frequency of students who prefer Subject B? Enter the answer correct to 2 decimal places.

A survey was conducted among a group of students to determine their preferred subjects. The raw frequencies of their res
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Question 15

+5 marksWritten answer

Table 2 shows the number of hours spent studying ( ) and the corresponding test scores ( ) for 5 students.

Calculate the Pearson correlation coefficient between and . Enter the answer correct to 2 decimal places.

Table 2 shows the number of hours spent studying ( ) and the corresponding test scores ( ) for 5 students.
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Question 16

+1 markWritten answer

, , , and are observations, and the sum of their frequencies is 200. The relative frequencies corresponding to , , and are 20%, 25%, and 30%, respectively. Based on this information, answer the given subquestions:

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Question 17

+1 markWritten answer

Figure 1 represents the placement percentage of students in different sectors from an engineering college.

Based on the given data, answer the given subquestions:

Figure 1 represents the placement percentage of students in different sectors from an engineering college.
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A written answer, not marked automatically.

Question 17 on its own page

Question 18

+1 markWritten answer

600 students are classified according to their level of attendance and academic performance. The results are given in Table 1.

Based on the above data, answer the given subquestions.

600 students are classified according to their level of attendance and academic performance. The results are given in Ta
Show answer

A written answer, not marked automatically.

Question 18 on its own page