The IIT Madras BS Business Analytics (Business Analytics) Quiz 1 paper sat on 23 Feb 2025, in the January 2025 term: 18 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.
You are given a data of size 1000, which is centred at 50 and has a variance of 25. The median, mode, max and min values are 40, 22, 75 and 1 respectively.Then
The data is right-tailed
The data is left-tailed
The data is symmetric
None of these
Correct answer
The data is right-tailed
When is a “Pie Chart” the best visualisation option for presenting data (choose all that is/are applicable)?
When the outliers in the data need to be shown
When trends in the data need to be shown
When relationship between variables need to be shown
None of these
Correct answer
None of these
(The following comprehension is purely imaginary)
A restaurant (“Milo’s Kitchen”) has data pertaining to customers ordering three types of starters “Paneer Tikka (PT)”, “Baby Corn Manchurian (BCM)” and “Masala Papad (MP)”. For simplicity assume that the orders for starters is mutually exclusive and that a customer does not order more than one starter. Moreover, the customers who order these starters are predominantly one of the three types of eaters, “Roti Eaters”, “Poori Eaters” or “Rice Eaters” (Note: customers can be “other eaters” as well. Hence, the list is not exhaustive). From past footfall data, it is seen that 25% of the customer’s order “BCM” and another 40% order “PT”. The remaining customers order “MP”. It is observed that,
a. Of the people ordering “BCM”, 30% are “Roti Eaters” and 60% are “Poori Eaters”.
b. For “PT” orders, it is observed that 40% are “Rice Eaters”, 20% are “Poori Eaters” and another 20% are “Roti Eaters”.
c. 50% of the customers who order “MP” are “Rice Eaters” and 40% are “Poori Eaters”
d. “BCM” is never ordered by “Rice Eaters” and “MP” is never opted for by “Roti Eaters”
Assuming any other necessary mutual exclusiveness, and answer the given sub questions.
If 1,000 customers come to the restaurant, how many will/may be “Rice Eaters”? (Note: Enter the answer rounded to two decimal places. For example, if the answer is “10.235”, then enter it as “10.24”. DO NOT ENTER PERCENTAGE VALUES)
Correct answer: 335
(The following comprehension is purely imaginary)
A restaurant (“Milo’s Kitchen”) has data pertaining to customers ordering three types of starters “Paneer Tikka (PT)”, “Baby Corn Manchurian (BCM)” and “Masala Papad (MP)”. For simplicity assume that the orders for starters is mutually exclusive and that a customer does not order more than one starter. Moreover, the customers who order these starters are predominantly one of the three types of eaters, “Roti Eaters”, “Poori Eaters” or “Rice Eaters” (Note: customers can be “other eaters” as well. Hence, the list is not exhaustive). From past footfall data, it is seen that 25% of the customer’s order “BCM” and another 40% order “PT”. The remaining customers order “MP”. It is observed that,
a. Of the people ordering “BCM”, 30% are “Roti Eaters” and 60% are “Poori Eaters”.
b. For “PT” orders, it is observed that 40% are “Rice Eaters”, 20% are “Poori Eaters” and another 20% are “Roti Eaters”.
c. 50% of the customers who order “MP” are “Rice Eaters” and 40% are “Poori Eaters”
d. “BCM” is never ordered by “Rice Eaters” and “MP” is never opted for by “Roti Eaters”
Assuming any other necessary mutual exclusiveness, and answer the given sub questions.
If 4,000 customers had visited the shop on 10th December 2024, then how many “BCMs” will you expect to serve? (Note: Enter the answer rounded to two decimal places. For example, if the answer is “10.235”, then enter it as “10.24”. DO NOT ENTER PERCENTAGE VALUES)
Correct answer: 1000
(The following comprehension is purely imaginary)
A restaurant (“Milo’s Kitchen”) has data pertaining to customers ordering three types of starters “Paneer Tikka (PT)”, “Baby Corn Manchurian (BCM)” and “Masala Papad (MP)”. For simplicity assume that the orders for starters is mutually exclusive and that a customer does not order more than one starter. Moreover, the customers who order these starters are predominantly one of the three types of eaters, “Roti Eaters”, “Poori Eaters” or “Rice Eaters” (Note: customers can be “other eaters” as well. Hence, the list is not exhaustive). From past footfall data, it is seen that 25% of the customer’s order “BCM” and another 40% order “PT”. The remaining customers order “MP”. It is observed that,
a. Of the people ordering “BCM”, 30% are “Roti Eaters” and 60% are “Poori Eaters”.
b. For “PT” orders, it is observed that 40% are “Rice Eaters”, 20% are “Poori Eaters” and another 20% are “Roti Eaters”.
c. 50% of the customers who order “MP” are “Rice Eaters” and 40% are “Poori Eaters”
d. “BCM” is never ordered by “Rice Eaters” and “MP” is never opted for by “Roti Eaters”
Assuming any other necessary mutual exclusiveness, and answer the given sub questions.
Milo’s Kitchen is planning spend money on purchasing a refrigerator (for “Paneer” and “Baby Corn” storage). If the 600 “Poori Eaters” are expected to arrive, then what is the expected revenue generated from them if the restaurant charges Rs. 350 per PT order, Rs. 250 per BCM order and Rs. 80 per MP order? (Note: Enter the answer “in Rupees” rounded to two decimal places. For example, if the answer is “Rs. 10.235”, then enter it as “10.24”. DO NOT ENTER ANY SYMBOLS OR LETTERS)
Correct answer: 46020
(The following comprehension is purely imaginary)
A restaurant (“Milo’s Kitchen”) has data pertaining to customers ordering three types of starters “Paneer Tikka (PT)”, “Baby Corn Manchurian (BCM)” and “Masala Papad (MP)”. For simplicity assume that the orders for starters is mutually exclusive and that a customer does not order more than one starter. Moreover, the customers who order these starters are predominantly one of the three types of eaters, “Roti Eaters”, “Poori Eaters” or “Rice Eaters” (Note: customers can be “other eaters” as well. Hence, the list is not exhaustive). From past footfall data, it is seen that 25% of the customer’s order “BCM” and another 40% order “PT”. The remaining customers order “MP”. It is observed that,
a. Of the people ordering “BCM”, 30% are “Roti Eaters” and 60% are “Poori Eaters”.
b. For “PT” orders, it is observed that 40% are “Rice Eaters”, 20% are “Poori Eaters” and another 20% are “Roti Eaters”.
c. 50% of the customers who order “MP” are “Rice Eaters” and 40% are “Poori Eaters”
d. “BCM” is never ordered by “Rice Eaters” and “MP” is never opted for by “Roti Eaters”
Assuming any other necessary mutual exclusiveness, and answer the given sub questions.
If a total of 10,000 customers visit Milo’s Kitchen in a month, how many (in Total) will you expect to be non-Rice Eater, Non-Poori Eater and Non-Roti Eater? (Note: Enter the answer rounded to two decimal places. For example, if the answer is “10.235”, then enter it as “10.24”. DO NOT ENTER PERCENTAGE VALUES)
Correct answer: 1400
(The following comprehension is purely imaginary)
A restaurant (“Milo’s Kitchen”) has data pertaining to customers ordering three types of starters “Paneer Tikka (PT)”, “Baby Corn Manchurian (BCM)” and “Masala Papad (MP)”. For simplicity assume that the orders for starters is mutually exclusive and that a customer does not order more than one starter. Moreover, the customers who order these starters are predominantly one of the three types of eaters, “Roti Eaters”, “Poori Eaters” or “Rice Eaters” (Note: customers can be “other eaters” as well. Hence, the list is not exhaustive). From past footfall data, it is seen that 25% of the customer’s order “BCM” and another 40% order “PT”. The remaining customers order “MP”. It is observed that,
a. Of the people ordering “BCM”, 30% are “Roti Eaters” and 60% are “Poori Eaters”.
b. For “PT” orders, it is observed that 40% are “Rice Eaters”, 20% are “Poori Eaters” and another 20% are “Roti Eaters”.
c. 50% of the customers who order “MP” are “Rice Eaters” and 40% are “Poori Eaters”
d. “BCM” is never ordered by “Rice Eaters” and “MP” is never opted for by “Roti Eaters”
Assuming any other necessary mutual exclusiveness, and answer the given sub questions.
Recently, the owner found a CCTV footage of a customer stealing a starter (but was not able to see which starter was stolen). The owner was sure that the food stealing customer was not a “Rice Eater”, “Poori Eater” or “Roti Eater”. Then which starter would the owner suspect the stealing customer to have stolen?
PT
BCM
MP
None of these as Milo’s Kitchen owner does not have a working CCTV (P.S: This is not an answer so don’t choose this option. Just relax, think and answer the question)
Correct answer
PT
Say, Table 1 specifies the blood sugar level (in mg/dL) for the male and female patients who visit a hospital. It is assumed that the blood sugar level is distributed Normally with a mean of 50mg/ dL and standard deviation of 10 mg/dL. You are asked to perform your analysis by using the following bins. The bins are suggested such that the probability space is split into equal areas.
Bin-1: [0 mg/dL to 50 mg/dL]
Bin-2: [>50 mg/dL to 70 mg/dL]
Bin-3: [>70 mg/dL to 90 mg/dL]
Bin-4: [>90 mg/dL to 100mg/dL]
| Patient ID | Gender | Blood sugar level (in mg/dL) |
|---|---|---|
| P1 | MALE | 71 |
| P2 | MALE | 84 |
| P3 | MALE | 76 |
| P4 | MALE | 78 |
| P5 | MALE | 89 |
| P6 | FEMALE | 92 |
| P7 | FEMALE | 97 |
| P8 | FEMALE | 95 |
| P9 | FEMALE | 83 |
| P10 | FEMALE | 72 |
Then answer the given subquestions.
What is the expected frequency in Bin-2 for the statistical test to be performed? (Note: give only a numerical value rounded to 2 decimal places. For example, if your answer is 10.1253, then input the answer as “10.13”)
Correct answer: 2.5
Say, Table 1 specifies the blood sugar level (in mg/dL) for the male and female patients who visit a hospital. It is assumed that the blood sugar level is distributed Normally with a mean of 50mg/ dL and standard deviation of 10 mg/dL. You are asked to perform your analysis by using the following bins. The bins are suggested such that the probability space is split into equal areas.
Bin-1: [0 mg/dL to 50 mg/dL]
Bin-2: [>50 mg/dL to 70 mg/dL]
Bin-3: [>70 mg/dL to 90 mg/dL]
Bin-4: [>90 mg/dL to 100mg/dL]
| Patient ID | Gender | Blood sugar level (in mg/dL) |
|---|---|---|
| P1 | MALE | 71 |
| P2 | MALE | 84 |
| P3 | MALE | 76 |
| P4 | MALE | 78 |
| P5 | MALE | 89 |
| P6 | FEMALE | 92 |
| P7 | FEMALE | 97 |
| P8 | FEMALE | 95 |
| P9 | FEMALE | 83 |
| P10 | FEMALE | 72 |
Then answer the given subquestions.
What is the value of the computed test statistic for the statistical test to be performed? (Note: give only a numerical value rounded to 2 decimal places. For example, if your answer is 10.1253, then input the answer as “10.13”)
Correct answer: 33
Say, Table 1 specifies the blood sugar level (in mg/dL) for the male and female patients who visit a hospital. It is assumed that the blood sugar level is distributed Normally with a mean of 50mg/ dL and standard deviation of 10 mg/dL. You are asked to perform your analysis by using the following bins. The bins are suggested such that the probability space is split into equal areas.
Bin-1: [0 mg/dL to 50 mg/dL]
Bin-2: [>50 mg/dL to 70 mg/dL]
Bin-3: [>70 mg/dL to 90 mg/dL]
Bin-4: [>90 mg/dL to 100mg/dL]
| Patient ID | Gender | Blood sugar level (in mg/dL) |
|---|---|---|
| P1 | MALE | 71 |
| P2 | MALE | 84 |
| P3 | MALE | 76 |
| P4 | MALE | 78 |
| P5 | MALE | 89 |
| P6 | FEMALE | 92 |
| P7 | FEMALE | 97 |
| P8 | FEMALE | 95 |
| P9 | FEMALE | 83 |
| P10 | FEMALE | 72 |
Then answer the given subquestions.
What is the number of degrees of freedom for the statistical test to be performed? (Note: give only a numerical value rounded to 2 decimal places. For example, if your answer is 10.1253, then input the answer as “10.13”)
Correct answer: 3
Say, Table 1 specifies the blood sugar level (in mg/dL) for the male and female patients who visit a hospital. It is assumed that the blood sugar level is distributed Normally with a mean of 50mg/ dL and standard deviation of 10 mg/dL. You are asked to perform your analysis by using the following bins. The bins are suggested such that the probability space is split into equal areas.
Bin-1: [0 mg/dL to 50 mg/dL]
Bin-2: [>50 mg/dL to 70 mg/dL]
Bin-3: [>70 mg/dL to 90 mg/dL]
Bin-4: [>90 mg/dL to 100mg/dL]
| Patient ID | Gender | Blood sugar level (in mg/dL) |
|---|---|---|
| P1 | MALE | 71 |
| P2 | MALE | 84 |
| P3 | MALE | 76 |
| P4 | MALE | 78 |
| P5 | MALE | 89 |
| P6 | FEMALE | 92 |
| P7 | FEMALE | 97 |
| P8 | FEMALE | 95 |
| P9 | FEMALE | 83 |
| P10 | FEMALE | 72 |
Then answer the given subquestions.
If the p-value for the test is 0.85, then what can be the level of significance if the Null Hypothesis is NOT TO BE REJECTED (select all that is/are applicable)
0.9
0.15
Any value between 0 and 1
Cannot say without more data.
Correct answer
0.15
(The following comprehension is purely imaginary)
A local grosser has observed that the demand for Milk follows a linear demand response curve. Hence, he has decided to raise the “Milk” price by Rs. 5 rupees per litre to Rs. 45 per litre. If the demand was 300 litres per day before the rise and is now 100 litres per day after the rise, then answer the given subquestions.
What is the elasticity of the linear demand response curve? (Note: give only a numerical value rounded to 2 decimal places. For example, if your answer is 10.1253, then input the answer as “10.13”)
Correct answer: 40
(The following comprehension is purely imaginary)
A local grosser has observed that the demand for Milk follows a linear demand response curve. Hence, he has decided to raise the “Milk” price by Rs. 5 rupees per litre to Rs. 45 per litre. If the demand was 300 litres per day before the rise and is now 100 litres per day after the rise, then answer the given subquestions.
What is the market size for milk? (Note: give only a numerical value rounded to 2 decimal places. For example, if your answer is 10.1253, then input the answer as “10.13”)
Correct answer: 1900
(The following comprehension is purely imaginary)
A local grosser has observed that the demand for Milk follows a linear demand response curve. Hence, he has decided to raise the “Milk” price by Rs. 5 rupees per litre to Rs. 45 per litre. If the demand was 300 litres per day before the rise and is now 100 litres per day after the rise, then answer the given subquestions.
What is the satiating price for the Milk’s demand response curve? (Note: give only a numerical value rounded to 2 decimal places. For example, if your answer is 10.1253, then input the answer as “10.13”)
Correct answer: 47.5
(The following comprehension is purely imaginary)
A local grosser has observed that the demand for Milk follows a linear demand response curve. Hence, he has decided to raise the “Milk” price by Rs. 5 rupees per litre to Rs. 45 per litre. If the demand was 300 litres per day before the rise and is now 100 litres per day after the rise, then answer the given subquestions.
Given the computed elasticity, what can you say about the “Milk” demand? (choose all that is/are applicable)
It is elastic
It is inelastic
It is a luxury
It is a necessity
Cannot say, insufficient information
Correct answer
It is elastic
(The following comprehension is purely imaginary)
You are given the following contingency table based on a sample data where different cities and their brand preferences are provided.
| Brand A | Brand B | Total | |
|---|---|---|---|
| Chennai | 200 | 145 | 345 |
| Mumbai | 600 | 255 | 855 |
| Total | 800 | 400 | 1200 |
Then answer the given subquestions.
From the given contingency table, find the expected frequency of Chennai people preferring brand B? (Note: give only a numerical value rounded to 2 decimal places. For example, if your answer is 10.1253, then input the answer as “10.13”)
Correct answer: 115
(The following comprehension is purely imaginary)
You are given the following contingency table based on a sample data where different cities and their brand preferences are provided.
| Brand A | Brand B | Total | |
|---|---|---|---|
| Chennai | 200 | 145 | 345 |
| Mumbai | 600 | 255 | 855 |
| Total | 800 | 400 | 1200 |
Then answer the given subquestions.
What is the calculated value of chi-squared? (Note: give only a numerical value rounded to 2 decimal places. For example, if your answer is 10.1253, then input the answer as “10.13”)
Correct answer: 65.6 (accepted within ±0.2)
(The following comprehension is purely imaginary)
You are given the following contingency table based on a sample data where different cities and their brand preferences are provided.
| Brand A | Brand B | Total | |
|---|---|---|---|
| Chennai | 200 | 145 | 345 |
| Mumbai | 600 | 255 | 855 |
| Total | 800 | 400 | 1200 |
Then answer the given subquestions.
At the significance level 0.05, chi-squared tabular value is 3.84. What do you conclude? (choose all that is/are applicable)
Reject the null hypothesis and conclude that the categorical variables are not independent
Fail to reject the null hypothesis and conclude that the categorical variables are not independent
Reject the null hypothesis and conclude that the categorical variables are independent
Fail to reject the null hypothesis and conclude that the categorical variables are independent
Accept the null hypothesis and conclude that the categorical variables are not independent
Do not accept the null hypothesis and conclude that the categorical variables are not independent
Accept the null hypothesis and conclude that the categorical variables are independent
Do not accept the null hypothesis and conclude that the categorical variables are independent
None of these
Correct answer
Reject the null hypothesis and conclude that the categorical variables are not independent
