A Survey Of 100 Concession Stand Customers' Orders Is Shown Below.${ \begin{tabular}{|c|c|c|c|} \hline & Hot Dog & Hamburger & Sandwich \ \hline Standard & 9 & 45 & 19 \ \hline Large & 3 & 18 & 6 \ \hline \end{tabular} }$If We Choose A

Mar 9, 2025 by ADMIN 237 views

**A Survey of Concession Stand Customers' Orders: A Mathematical Analysis**

Introduction

In this article, we will delve into a survey of 100 concession stand customers' orders, analyzing the data to gain insights into their preferences. The survey provides a snapshot of the types of food items ordered by customers, categorized by size: Standard and Large. We will use mathematical techniques to analyze the data and draw conclusions about the customers' preferences.

The Data

The survey data is presented in a table, showing the number of customers who ordered each type of food item:

	Hot Dog	Hamburger	Sandwich
Standard	9	45	19
Large	3	18	6

Frequency Distribution

To better understand the data, we can create a frequency distribution, which shows the number of customers who ordered each type of food item. We can calculate the frequency of each item by adding the number of customers who ordered each size:

	Frequency
Hot Dog	9 + 3 = 12
Hamburger	45 + 18 = 63
Sandwich	19 + 6 = 25

Relative Frequency

To gain a better understanding of the data, we can calculate the relative frequency of each item, which is the proportion of customers who ordered each type of food item:

	Relative Frequency
Hot Dog	12/100 = 0.12
Hamburger	63/100 = 0.63
Sandwich	25/100 = 0.25

Bar Chart

To visualize the data, we can create a bar chart, which shows the number of customers who ordered each type of food item:

	Number of Customers
Hot Dog	12
Hamburger	63
Sandwich	25

Pie Chart

To gain a better understanding of the data, we can create a pie chart, which shows the proportion of customers who ordered each type of food item:

	Proportion
Hot Dog	0.12
Hamburger	0.63
Sandwich	0.25

Conclusion

In conclusion, the survey data provides valuable insights into the preferences of concession stand customers. The data shows that the most popular item is the Hamburger, with 63 customers ordering it. The Hot Dog is the second most popular item, with 12 customers ordering it. The Sandwich is the least popular item, with 25 customers ordering it. The data also shows that the majority of customers order the Standard size, with 72 customers ordering it.

Recommendations

Based on the analysis of the data, we can make the following recommendations:

The concession stand should consider increasing the availability of Hamburger items, as it is the most popular item.
The concession stand should consider offering more variety in the Sandwich items, as it is the least popular item.
The concession stand should consider offering more options for customers who prefer the Standard size.

Limitations

The survey data has some limitations, including:

The sample size is relatively small, with only 100 customers surveyed.
The survey only collected data on the types of food items ordered, and did not collect data on other factors, such as customer demographics or preferences.

Future Research

Future research could involve collecting more data on customer preferences and demographics, and analyzing the data using more advanced statistical techniques. This could provide a more comprehensive understanding of the preferences of concession stand customers and inform business decisions.

References

[1] [Insert reference 1]
[2] [Insert reference 2]

Appendix

The survey data is presented in the following table:

	Hot Dog	Hamburger	Sandwich
Standard	9	45	19
Large	3	18	6

The frequency distribution is presented in the following table:

	Frequency
Hot Dog	12
Hamburger	63
Sandwich	25

The relative frequency is presented in the following table:

	Relative Frequency
Hot Dog	0.12
Hamburger	0.63
Sandwich	0.25

The bar chart is presented in the following figure:

	Number of Customers
Hot Dog	12
Hamburger	63
Sandwich	25

The pie chart is presented in the following figure:

	Proportion
Hot Dog	0.12
Hamburger	0.63
Sandwich	0.25

Introduction

In our previous article, we analyzed a survey of 100 concession stand customers' orders, using mathematical techniques to gain insights into their preferences. In this article, we will answer some of the most frequently asked questions about the survey and its results.

Q: What was the purpose of the survey?

A: The purpose of the survey was to gather data on the types of food items ordered by concession stand customers, and to analyze the data to gain insights into their preferences.

Q: How was the survey conducted?

A: The survey was conducted by collecting data from 100 concession stand customers, and presenting the data in a table.

Q: What types of food items were included in the survey?

A: The survey included three types of food items: Hot Dogs, Hamburgers, and Sandwiches.

Q: What sizes of food items were included in the survey?

A: The survey included two sizes of food items: Standard and Large.

Q: What was the most popular food item in the survey?

A: The most popular food item in the survey was the Hamburger, with 63 customers ordering it.

Q: What was the second most popular food item in the survey?

A: The second most popular food item in the survey was the Hot Dog, with 12 customers ordering it.

Q: What was the least popular food item in the survey?

A: The least popular food item in the survey was the Sandwich, with 25 customers ordering it.

Q: What was the most popular size of food item in the survey?

A: The most popular size of food item in the survey was the Standard size, with 72 customers ordering it.

Q: What are the implications of the survey results?

A: The survey results suggest that concession stand customers prefer the Hamburger, and that the Standard size is the most popular size of food item. This information can be used to inform business decisions, such as increasing the availability of Hamburger items and offering more options for customers who prefer the Standard size.

Q: What are the limitations of the survey?

A: The survey has some limitations, including a relatively small sample size and a lack of data on other factors, such as customer demographics and preferences.

Q: What are some potential future research directions?

A: Some potential future research directions include collecting more data on customer preferences and demographics, and analyzing the data using more advanced statistical techniques.

Q: What are some potential applications of the survey results?

A: The survey results can be used to inform business decisions, such as increasing the availability of Hamburger items and offering more options for customers who prefer the Standard size. The results can also be used to develop marketing strategies, such as targeting customers who prefer the Hamburger.