Question 1
When is a “Pie Chart” the best visualisation option for presenting data?
When the outliers in the data need to be shown
When trends in the data need to be shown
When proportions in the data need to be shown
None of these
Business Analytics Quiz 1: 13 July 2025 (May 2025 term)
The IIT Madras BS Business Analytics (Business Analytics) Quiz 1 paper sat on 13 Jul 2025, in the May 2025 term: 15 questions for 20 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.
- 15
- 20
- 120 min
- 5
- 8
- 2
Show answer
Correct answer
When proportions in the data need to be shown
Question 2
Given Figure-1, what is the message that can be best conveyed through the graph?
Message: “Mileages trend for different Models”
Message: “Relationship between Car Weight and Mileage”
Message: “Relationship between Models and their Car Weights”
Message: “Car Model wise minimum and maximum Avg. Mileage and Avg. Car Weights”
Message: “Model wise relationship between Car Weight and Mileage”
Message: “Car weight wise Mileage trend for different Models”
Message: “Mileage wise relationship between Models and their Car Weights”
Show answer
Correct answer
Message: “Car Model wise minimum and maximum Avg. Mileage and Avg. Car Weights”
Question 3
For the summary statistics provided in Table-1, which of the following is true?
The distribution is right skewed
The distribution is symmetric
The distribution is left skewed
Cannot say without the skewness value
Show answer
Correct answer
The distribution is right skewed
Question 4
Four teams (1, 2, 3 and 4) have qualified for the final of the cricket world cup. Team 1 plays Team 2. Team 3 plays Team 4. The winners then play in the final. In a game between Team “i” and Team “j”, the probability of team “i” winning is given by {i /(i+j)}. Then what is the conditional probability that “Team 1” will win the World Cup? (Note: Enter your answer in decimals rounded to two decimal places. For example, if your answer is “0.245”, enter it as “0.25”)
Show answer
Correct answer: 0.075 (accepted within ±0.015)
Question 5
Milo’s Wheels sells bicycles. DrMilo, the owner of the shop, is curious to know about his customer base. Hence, he collects data on the total sales made to different age groups in the year 2024. This data is given in Table-2. He hires you (a student in the BA course) as a data analyst and asks for your opinion. Then answer the given subquestions.
(Note: For all questions in this comprehension, if your answer is in decimal, enter it rounded to two decimal places. For example, if your answer is “10.256”, enter it as “10.26”)
| Age group | Actual number of cycles sold |
|---|---|
| less than 10 years | 25 |
| 11 to 15 years | 50 |
| 16 to 20 years | 30 |
| 21 to 24 years | 50 |
| 25 to 30 years | 20 |
| 31 to 40 years | 25 |
| greater than 41 years | 50 |
Table-2
Based on Table-2, you think the data is normally distributed such that the buckets split the distribution into areas that have equal probability. Then what is the probability of selling a cycle in any given bucket?
Show answer
Correct answer: 0.14 (accepted within ±0.01)
Question 6
Milo’s Wheels sells bicycles. DrMilo, the owner of the shop, is curious to know about his customer base. Hence, he collects data on the total sales made to different age groups in the year 2024. This data is given in Table-2. He hires you (a student in the BA course) as a data analyst and asks for your opinion. Then answer the given subquestions.
(Note: For all questions in this comprehension, if your answer is in decimal, enter it rounded to two decimal places. For example, if your answer is “10.256”, enter it as “10.26”)
| Age group | Actual number of cycles sold |
|---|---|
| less than 10 years | 25 |
| 11 to 15 years | 50 |
| 16 to 20 years | 30 |
| 21 to 24 years | 50 |
| 25 to 30 years | 20 |
| 31 to 40 years | 25 |
| greater than 41 years | 50 |
Table-2
Based on Table-2, you think the data is normally distributed such that the buckets split the distribution into areas that have equal probability. Then what is the expected number of cycles that will be sold to the age group of “25 to 30 years”?
Show answer
Correct answer: 35.5 (accepted within ±0.5)
Question 7
Milo’s Wheels sells bicycles. DrMilo, the owner of the shop, is curious to know about his customer base. Hence, he collects data on the total sales made to different age groups in the year 2024. This data is given in Table-2. He hires you (a student in the BA course) as a data analyst and asks for your opinion. Then answer the given subquestions.
(Note: For all questions in this comprehension, if your answer is in decimal, enter it rounded to two decimal places. For example, if your answer is “10.256”, enter it as “10.26”)
| Age group | Actual number of cycles sold |
|---|---|
| less than 10 years | 25 |
| 11 to 15 years | 50 |
| 16 to 20 years | 30 |
| 21 to 24 years | 50 |
| 25 to 30 years | 20 |
| 31 to 40 years | 25 |
| greater than 41 years | 50 |
Table-2
What is the value of the computed test statistic to perform a test to check if the Data in Table-2 follows a normal distribution?
Show answer
Correct answer: 31 (accepted within ±2)
Question 8
Milo’s Wheels sells bicycles. DrMilo, the owner of the shop, is curious to know about his customer base. Hence, he collects data on the total sales made to different age groups in the year 2024. This data is given in Table-2. He hires you (a student in the BA course) as a data analyst and asks for your opinion. Then answer the given subquestions.
(Note: For all questions in this comprehension, if your answer is in decimal, enter it rounded to two decimal places. For example, if your answer is “10.256”, enter it as “10.26”)
| Age group | Actual number of cycles sold |
|---|---|
| less than 10 years | 25 |
| 11 to 15 years | 50 |
| 16 to 20 years | 30 |
| 21 to 24 years | 50 |
| 25 to 30 years | 20 |
| 31 to 40 years | 25 |
| greater than 41 years | 50 |
Table-2
How many (count of) degrees of freedom is present for the performed test (to check if the data in Table-2 follows a normal distribution)?
Show answer
Correct answer: 4
Question 9
Milo’s Wheels sells bicycles. DrMilo, the owner of the shop, is curious to know about his customer base. Hence, he collects data on the total sales made to different age groups in the year 2024. This data is given in Table-2. He hires you (a student in the BA course) as a data analyst and asks for your opinion. Then answer the given subquestions.
(Note: For all questions in this comprehension, if your answer is in decimal, enter it rounded to two decimal places. For example, if your answer is “10.256”, enter it as “10.26”)
| Age group | Actual number of cycles sold |
|---|---|
| less than 10 years | 25 |
| 11 to 15 years | 50 |
| 16 to 20 years | 30 |
| 21 to 24 years | 50 |
| 25 to 30 years | 20 |
| 31 to 40 years | 25 |
| greater than 41 years | 50 |
Table-2
If the “Null Hypothesis” is rejected at a significance level of 0.1, then what will be the conclusion at a significance level of 0.5?
Cannot say, insufficient data
Null Hypothesis is rejected
Null Hypothesis is not rejected
Show answer
Correct answer
Null Hypothesis is rejected
Question 10
Milo’s Wheels sells bicycles. DrMilo, the owner of the shop, is curious to know about his customer base. Hence, he collects data on the total sales made to different age groups in the year 2024. This data is given in Table-2. He hires you (a student in the BA course) as a data analyst and asks for your opinion. Then answer the given subquestions.
(Note: For all questions in this comprehension, if your answer is in decimal, enter it rounded to two decimal places. For example, if your answer is “10.256”, enter it as “10.26”)
| Age group | Actual number of cycles sold |
|---|---|
| less than 10 years | 25 |
| 11 to 15 years | 50 |
| 16 to 20 years | 30 |
| 21 to 24 years | 50 |
| 25 to 30 years | 20 |
| 31 to 40 years | 25 |
| greater than 41 years | 50 |
Table-2
What is the sample size that DrMilo has provided for your analysis?
Show answer
Correct answer: 250
Question 11
A cosmetics brand “SwamiIsBeautiful” manufactures three products, “Face Creams (FC)”, “Body Lotion (BL)” and “Lip Gloze (LG)”. The company believes displaying all their products together in a single shelf at a retailer store will help boost their sales, as people tend to pick up the items together. Hence, they are currently spending a lot of money to make sure that the retailers display the products together.
However, on hearing this, Dr.Milo feels sceptical as it is counter intuitive. He feels that the sales of the products are independent. To check his theory, data in Table-3 was collected. Table-3 contains the total sales (in quantity) of the three products across retail stores. Here, the retail stores were classified in two types: “Type-1: The three products are displayed together”, “Type-2: The three products are not displayed together”. Given this information answer the given subquestions. (Note: For all questions in this comprehension, if your answer is in decimal, enter it rounded to two decimal places. For example, if your answer is “10.256”, enter it as “10.26”)
What type of representation is Table-3?
Contingency Table
Frequency Table
None of these
Both Contingency Table & Frequency Table
Show answer
Correct answer
Contingency Table
Question 12
A cosmetics brand “SwamiIsBeautiful” manufactures three products, “Face Creams (FC)”, “Body Lotion (BL)” and “Lip Gloze (LG)”. The company believes displaying all their products together in a single shelf at a retailer store will help boost their sales, as people tend to pick up the items together. Hence, they are currently spending a lot of money to make sure that the retailers display the products together.
However, on hearing this, Dr.Milo feels sceptical as it is counter intuitive. He feels that the sales of the products are independent. To check his theory, data in Table-3 was collected. Table-3 contains the total sales (in quantity) of the three products across retail stores. Here, the retail stores were classified in two types: “Type-1: The three products are displayed together”, “Type-2: The three products are not displayed together”. Given this information answer the given subquestions. (Note: For all questions in this comprehension, if your answer is in decimal, enter it rounded to two decimal places. For example, if your answer is “10.256”, enter it as “10.26”)
What is the expected frequency for “BL” in Type-2 stores?
Show answer
Correct answer: 238 (accepted within ±1)
Question 13
A cosmetics brand “SwamiIsBeautiful” manufactures three products, “Face Creams (FC)”, “Body Lotion (BL)” and “Lip Gloze (LG)”. The company believes displaying all their products together in a single shelf at a retailer store will help boost their sales, as people tend to pick up the items together. Hence, they are currently spending a lot of money to make sure that the retailers display the products together.
However, on hearing this, Dr.Milo feels sceptical as it is counter intuitive. He feels that the sales of the products are independent. To check his theory, data in Table-3 was collected. Table-3 contains the total sales (in quantity) of the three products across retail stores. Here, the retail stores were classified in two types: “Type-1: The three products are displayed together”, “Type-2: The three products are not displayed together”. Given this information answer the given subquestions. (Note: For all questions in this comprehension, if your answer is in decimal, enter it rounded to two decimal places. For example, if your answer is “10.256”, enter it as “10.26”)
What is the value of the computed test statistic for the hypothesis test that DrMilo will perform to check if his intuition is correct?
Show answer
Correct answer: 20 (accepted within ±2)
Question 14
A cosmetics brand “SwamiIsBeautiful” manufactures three products, “Face Creams (FC)”, “Body Lotion (BL)” and “Lip Gloze (LG)”. The company believes displaying all their products together in a single shelf at a retailer store will help boost their sales, as people tend to pick up the items together. Hence, they are currently spending a lot of money to make sure that the retailers display the products together.
However, on hearing this, Dr.Milo feels sceptical as it is counter intuitive. He feels that the sales of the products are independent. To check his theory, data in Table-3 was collected. Table-3 contains the total sales (in quantity) of the three products across retail stores. Here, the retail stores were classified in two types: “Type-1: The three products are displayed together”, “Type-2: The three products are not displayed together”. Given this information answer the given subquestions. (Note: For all questions in this comprehension, if your answer is in decimal, enter it rounded to two decimal places. For example, if your answer is “10.256”, enter it as “10.26”)
What is the Null Hypothesise for the hypothesis test that DrMilo will be performing? (choose all that is applicable)
The total sales is independent among the different products and different retail store types
The total sales is not independent among the different products and different retail store types
The total sales is uniformly distributed among the different products and different retail store types
The total sales is uniformly distributed only among the different products
The total sales is uniformly distributed only among the different retail store types
None of these
Show answer
Correct answer
The total sales is independent among the different products and different retail store types
Question 15
A cosmetics brand “SwamiIsBeautiful” manufactures three products, “Face Creams (FC)”, “Body Lotion (BL)” and “Lip Gloze (LG)”. The company believes displaying all their products together in a single shelf at a retailer store will help boost their sales, as people tend to pick up the items together. Hence, they are currently spending a lot of money to make sure that the retailers display the products together.
However, on hearing this, Dr.Milo feels sceptical as it is counter intuitive. He feels that the sales of the products are independent. To check his theory, data in Table-3 was collected. Table-3 contains the total sales (in quantity) of the three products across retail stores. Here, the retail stores were classified in two types: “Type-1: The three products are displayed together”, “Type-2: The three products are not displayed together”. Given this information answer the given subquestions. (Note: For all questions in this comprehension, if your answer is in decimal, enter it rounded to two decimal places. For example, if your answer is “10.256”, enter it as “10.26”)
Given Figure-2, at a 20% level of significance, what will be the conclusion of the hypothesis test? (choose all that is applicable)
Reject the Null Hypothesis
Do Not Reject the Null Hypothesis
Reject the Alternative Hypothesis
Do Not Reject the Alternative Hypothesis
Accept the Null Hypothesis
Do Not Accept the Null Hypothesis
Accept the Alternative Hypothesis
Do Not Accept the Alternative Hypothesis
Show answer
Correct answer
Reject the Null Hypothesis