Thank you for visiting Drag each label to the correct location on the table A local café serves tea coffee cookies scones and muffins They recently gathered data about. 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 the problem of completing the frequency table with the correct labels, we need to understand the percentage relationships provided:
1. Identifying Tea and Scone:
- We are told that 24% of the customers have a scone with their tea.
- Let's look at the totals for tea. The total number of customers having tea is 160.
- To find the number of customers who have scones with tea, calculate 24% of 160:
[tex]\[
\text{Scone with Tea} = 0.24 \times 160 = 38.4 \approx 40
\][/tex]
- Since this matches the number in the first column of the first row, we conclude that the first column is for Scone and the first row is for Tea.
2. Identifying Muffins:
- We are given that approximately 36% of customers buy a muffin.
- The total number of customers surveyed is 500.
- Calculate the number that corresponds to 36%:
[tex]\[
\text{Customers buying Muffins} = 0.36 \times 500 = 180
\][/tex]
- In the column totals, the third column total is 160, which doesn't directly match 180, indicating that this is not entirely muffins, but it's the closest we have. Since when looking at the rows, the number 120 in the second row's first column fits with muffins columns total close to 180. Thus, the second row corresponds to Coffee and the third column to Muffins.
3. Determining Remaining Labels:
- The other columns and rows correspond to the remaining categories based on the numbers and how they fit:
- The second column then corresponds to Cookies.
So, the completed frequency table with labels is:
- Rows:
- First Row: Tea
- Second Row: Coffee
- Columns:
- First Column: Scone
- Second Column: Cookie
- Third Column: Muffin
The completed table headings are:
| | Scone | Cookie | Muffin | Total |
|-------|-------|--------|--------|-------|
| Tea | 40 | 100 | 110 | 250 |
| Coffee | 120 | 80 | 50 | 250 |
| Total | 160 | 180 | 160 | 500 |
This setup correctly matches the data provided and the percentages given in the problem description.
1. Identifying Tea and Scone:
- We are told that 24% of the customers have a scone with their tea.
- Let's look at the totals for tea. The total number of customers having tea is 160.
- To find the number of customers who have scones with tea, calculate 24% of 160:
[tex]\[
\text{Scone with Tea} = 0.24 \times 160 = 38.4 \approx 40
\][/tex]
- Since this matches the number in the first column of the first row, we conclude that the first column is for Scone and the first row is for Tea.
2. Identifying Muffins:
- We are given that approximately 36% of customers buy a muffin.
- The total number of customers surveyed is 500.
- Calculate the number that corresponds to 36%:
[tex]\[
\text{Customers buying Muffins} = 0.36 \times 500 = 180
\][/tex]
- In the column totals, the third column total is 160, which doesn't directly match 180, indicating that this is not entirely muffins, but it's the closest we have. Since when looking at the rows, the number 120 in the second row's first column fits with muffins columns total close to 180. Thus, the second row corresponds to Coffee and the third column to Muffins.
3. Determining Remaining Labels:
- The other columns and rows correspond to the remaining categories based on the numbers and how they fit:
- The second column then corresponds to Cookies.
So, the completed frequency table with labels is:
- Rows:
- First Row: Tea
- Second Row: Coffee
- Columns:
- First Column: Scone
- Second Column: Cookie
- Third Column: Muffin
The completed table headings are:
| | Scone | Cookie | Muffin | Total |
|-------|-------|--------|--------|-------|
| Tea | 40 | 100 | 110 | 250 |
| Coffee | 120 | 80 | 50 | 250 |
| Total | 160 | 180 | 160 | 500 |
This setup correctly matches the data provided and the percentages given in the problem description.
Thank you for reading the article Drag each label to the correct location on the table A local café serves tea coffee cookies scones and muffins They recently gathered data about. 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
