Thank you for visiting A local café 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 solve this problem, let's complete the column and row headings for the frequency table using the information provided. Here's how you can figure it out step-by-step:
1. Understand the Total Number of Customers:
- The total number of customers surveyed is 500.
2. Determine Number of Customers for Specific Choices:
- We know that approximately 24% of the customers have a scone with their tea. To find this number, calculate 24% of 500:
- [tex]\( \frac{24}{100} \times 500 = 120 \)[/tex]
- Therefore, 120 customers have a scone with their tea.
- Approximately 36% of the customers buy a muffin. To find this number, calculate 36% of 500:
- [tex]\( \frac{36}{100} \times 500 = 180 \)[/tex]
- Thus, 180 customers buy a muffin.
3. Match the Numbers to the Frequency Table:
The frequency table is organized as follows:
[tex]\[
\begin{array}{|c|c|c|c|c|}
\cline{2-5}
\multicolumn{1}{c|}{} & & & & \text{Total} \\
\hline
& 40 & 100 & 110 & 250 \\
\hline
& 120 & 80 & 50 & 250 \\
\hline
\text{Total} & 160 & 180 & 160 & 500 \\
\hline
\end{array}
\][/tex]
- The first row represents groups that have a total of 250 customers, and it contains a "40" (scone and tea overlap), a "100", and a "110". Since 120 customers have a scone with tea, the "120" should belong to the tea row and the "40" to the scone column, aligning with the overlap percentage, suggesting the categories could be "Tea" for the first row and "Scone" for the first column.
- Similarly, the second row also has a total of 250 customers. This row includes "120" (tea and scone overlap), "80", and "50". From earlier, 180 customers buy a muffin. This must correspond to the total in the second column, indicating the second item in this row could be "Cookie", and the "Muffin" should align with the first column under each item chosen.
4. Fill the Table with Corresponding Items:
Therefore, the labels would be:
- First row → "Tea"
- Second row → "Coffee"
- First column → "Scone"
- Second column → "Cookie"
- Third column → "Muffin"
With these headings applied, the frequency table correctly reflects the data presented in the question.
1. Understand the Total Number of Customers:
- The total number of customers surveyed is 500.
2. Determine Number of Customers for Specific Choices:
- We know that approximately 24% of the customers have a scone with their tea. To find this number, calculate 24% of 500:
- [tex]\( \frac{24}{100} \times 500 = 120 \)[/tex]
- Therefore, 120 customers have a scone with their tea.
- Approximately 36% of the customers buy a muffin. To find this number, calculate 36% of 500:
- [tex]\( \frac{36}{100} \times 500 = 180 \)[/tex]
- Thus, 180 customers buy a muffin.
3. Match the Numbers to the Frequency Table:
The frequency table is organized as follows:
[tex]\[
\begin{array}{|c|c|c|c|c|}
\cline{2-5}
\multicolumn{1}{c|}{} & & & & \text{Total} \\
\hline
& 40 & 100 & 110 & 250 \\
\hline
& 120 & 80 & 50 & 250 \\
\hline
\text{Total} & 160 & 180 & 160 & 500 \\
\hline
\end{array}
\][/tex]
- The first row represents groups that have a total of 250 customers, and it contains a "40" (scone and tea overlap), a "100", and a "110". Since 120 customers have a scone with tea, the "120" should belong to the tea row and the "40" to the scone column, aligning with the overlap percentage, suggesting the categories could be "Tea" for the first row and "Scone" for the first column.
- Similarly, the second row also has a total of 250 customers. This row includes "120" (tea and scone overlap), "80", and "50". From earlier, 180 customers buy a muffin. This must correspond to the total in the second column, indicating the second item in this row could be "Cookie", and the "Muffin" should align with the first column under each item chosen.
4. Fill the Table with Corresponding Items:
Therefore, the labels would be:
- First row → "Tea"
- Second row → "Coffee"
- First column → "Scone"
- Second column → "Cookie"
- Third column → "Muffin"
With these headings applied, the frequency table correctly reflects the data presented in the question.
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Rewritten by : Jeany
