Thank you for visiting A local cafe serves tea coffee cookies scones and muffins They recently gathered data about their customers who purchase both a drink and a snack. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
To complete the frequency table with the given data, we need to analyze and understand the provided percentages and totals for the different items purchased by the customers. Let's go through the solution step-by-step:
1. Identify Total Customer Count:
The table specifies that there are a total of 500 customers surveyed.
2. Scone and Tea Combination:
It's given that approximately 24% of the customers have a scone with their tea.
- Calculate this number:
[tex]\[
\text{Number of customers with scone and tea} = \frac{24}{100} \times 500 = 120
\][/tex]
3. Customer Distribution in the Table:
The table is structured with rows for different drinks and columns for different snacks. The frequencies of combinations are provided without headings:
[tex]\[
\begin{tabular}{|c|c|c|c|c|}
\hline
& \text{Column 1} & \text{Column 2} & \text{Column 3} & \text{Total} \\
\hline
\text{Row 1} & 40 & 100 & 110 & 250 \\
\hline
\text{Row 2} & 120 & 80 & 50 & 250 \\
\hline
\text{Total} & 160 & 180 & 160 & 500 \\
\hline
\end{tabular}
\][/tex]
4. Calculate Muffin Customers:
It's noted that approximately 36% of customers buy a muffin. Based on the completed table:
- Total customers who buy muffins:
[tex]\[
\text{Total muffin customers} = 160
\][/tex]
5. Verify Muffin Percentage:
- Calculate the percentage of muffin customers:
[tex]\[
\frac{160}{500} \times 100 = 32\%
\][/tex]
6. Assign Headings:
Based on the data, here is how the table headings and the distributions align:
- Coffee and Tea are beverages, so they align with the rows.
- Cookies, Scones, and Muffins align with the columns.
Therefore, the completed table with headings is:
[tex]\[
\begin{tabular}{|c|c|c|c|c|}
\cline{2-5}
\multicolumn{1}{c|}{} & \text{Cookie} & \text{Scone} & \text{Muffin} & \text{Total} \\
\hline
\text{Coffee} & 40 & 100 & 110 & 250 \\
\hline
\text{Tea} & 120 & 80 & 50 & 250 \\
\hline
\text{Total} & 160 & 180 & 160 & 500 \\
\hline
\end{tabular}
\][/tex]
7. Conclusion:
Through the analyzed data, we determined the specific numbers for customers opting for different snacks and beverages. The important calculative insights, such as the number of customers preferring a scone with tea and the verified muffin customer percentage, are key to completing and understanding the table distribution accurately.
1. Identify Total Customer Count:
The table specifies that there are a total of 500 customers surveyed.
2. Scone and Tea Combination:
It's given that approximately 24% of the customers have a scone with their tea.
- Calculate this number:
[tex]\[
\text{Number of customers with scone and tea} = \frac{24}{100} \times 500 = 120
\][/tex]
3. Customer Distribution in the Table:
The table is structured with rows for different drinks and columns for different snacks. The frequencies of combinations are provided without headings:
[tex]\[
\begin{tabular}{|c|c|c|c|c|}
\hline
& \text{Column 1} & \text{Column 2} & \text{Column 3} & \text{Total} \\
\hline
\text{Row 1} & 40 & 100 & 110 & 250 \\
\hline
\text{Row 2} & 120 & 80 & 50 & 250 \\
\hline
\text{Total} & 160 & 180 & 160 & 500 \\
\hline
\end{tabular}
\][/tex]
4. Calculate Muffin Customers:
It's noted that approximately 36% of customers buy a muffin. Based on the completed table:
- Total customers who buy muffins:
[tex]\[
\text{Total muffin customers} = 160
\][/tex]
5. Verify Muffin Percentage:
- Calculate the percentage of muffin customers:
[tex]\[
\frac{160}{500} \times 100 = 32\%
\][/tex]
6. Assign Headings:
Based on the data, here is how the table headings and the distributions align:
- Coffee and Tea are beverages, so they align with the rows.
- Cookies, Scones, and Muffins align with the columns.
Therefore, the completed table with headings is:
[tex]\[
\begin{tabular}{|c|c|c|c|c|}
\cline{2-5}
\multicolumn{1}{c|}{} & \text{Cookie} & \text{Scone} & \text{Muffin} & \text{Total} \\
\hline
\text{Coffee} & 40 & 100 & 110 & 250 \\
\hline
\text{Tea} & 120 & 80 & 50 & 250 \\
\hline
\text{Total} & 160 & 180 & 160 & 500 \\
\hline
\end{tabular}
\][/tex]
7. Conclusion:
Through the analyzed data, we determined the specific numbers for customers opting for different snacks and beverages. The important calculative insights, such as the number of customers preferring a scone with tea and the verified muffin customer percentage, are key to completing and understanding the table distribution accurately.
Thank you for reading the article A local cafe serves tea coffee cookies scones and muffins They recently gathered data about their customers who purchase both a drink and a snack. We hope the information provided is useful and helps you understand this topic better. Feel free to explore more helpful content on our website!
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Rewritten by : Jeany
