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 :
- Calculate the number of customers who have a scone with their tea: $0.24 \times 500 = 120$.
- Calculate the number of customers who buy a muffin: $0.36 \times 500 = 180$.
- Use the calculated values and the given table to deduce the row and column headings.
- The table headings are: Coffee, Scone, Muffin, Cookie for columns and Coffee, Tea for rows.
### Explanation
1. Understand the problem and provided data
We are given a frequency table representing a survey about customers' drink and snack purchases at a local café. The drinks are tea and coffee, and the snacks are cookies, scones, and muffins. We know that 24% of the customers surveyed have a scone with their tea, and 36% of the customers surveyed buy a muffin. The total number of customers surveyed is 500. Our goal is to determine the correct column and row headings for the given table.
2. Calculate the number of customers with tea and scone
First, we calculate the number of customers who have a scone with their tea: $0.24 \times 500 = 120$. This means that the intersection of the 'Tea' row and 'Scone' column should be 120.
3. Calculate the number of customers who buy a muffin
Next, we calculate the number of customers who buy a muffin: $0.36 \times 500 = 180$. This means that the total number of muffins bought is 180.
4. Deduce the row and column headings
Now, we use the calculated values and the given table to deduce the row and column headings.
The table has the following structure:
| | | | | | Total |
|-------|---|---|---|---|-------|
| | 40| 100| 110| | 250 |
| |120| 80| 50| | 250 |
| Total |160| 180| 160| | 500 |
Since 24% of the customers surveyed have a scone with their tea, the intersection of the 'Tea' row and 'Scone' column should be 120. Looking at the table, the cell with value 120 is in the second row and second column. Therefore, the second row is 'Tea' and the second column is 'Scone'.
5. Determine the Muffin column
Since 36% of the customers surveyed buy a muffin, the total number of muffins bought is 180. Looking at the table, the column with total 180 is the third column. Therefore, the third column is 'Muffin'.
6. Determine the remaining headings
The remaining column must be 'Cookie'. Thus, the first column is 'Coffee' and the fourth column is 'Cookie'. The remaining row must be 'Coffee'. Thus, the first row is 'Coffee'.
7. State the final answer
Therefore, the table headings are:
| | Coffee | Scone | Muffin | Cookie | Total |
|--------|--------|-------|--------|--------|-------|
| Coffee | 40 | 100 | 110 | - | 250 |
| Tea | 120 | 80 | 50 | - | 250 |
| Total | 160 | 180 | 160 | - | 500 |
So, the first row is Coffee, the second row is Tea, the first column is Coffee, the second column is Scone, the third column is Muffin, and the fourth column is Cookie.
### Examples
This type of problem is useful in market research. For example, a company might survey customers to understand their preferences for different product combinations. The results can help the company optimize its product offerings and marketing strategies.
- Calculate the number of customers who buy a muffin: $0.36 \times 500 = 180$.
- Use the calculated values and the given table to deduce the row and column headings.
- The table headings are: Coffee, Scone, Muffin, Cookie for columns and Coffee, Tea for rows.
### Explanation
1. Understand the problem and provided data
We are given a frequency table representing a survey about customers' drink and snack purchases at a local café. The drinks are tea and coffee, and the snacks are cookies, scones, and muffins. We know that 24% of the customers surveyed have a scone with their tea, and 36% of the customers surveyed buy a muffin. The total number of customers surveyed is 500. Our goal is to determine the correct column and row headings for the given table.
2. Calculate the number of customers with tea and scone
First, we calculate the number of customers who have a scone with their tea: $0.24 \times 500 = 120$. This means that the intersection of the 'Tea' row and 'Scone' column should be 120.
3. Calculate the number of customers who buy a muffin
Next, we calculate the number of customers who buy a muffin: $0.36 \times 500 = 180$. This means that the total number of muffins bought is 180.
4. Deduce the row and column headings
Now, we use the calculated values and the given table to deduce the row and column headings.
The table has the following structure:
| | | | | | Total |
|-------|---|---|---|---|-------|
| | 40| 100| 110| | 250 |
| |120| 80| 50| | 250 |
| Total |160| 180| 160| | 500 |
Since 24% of the customers surveyed have a scone with their tea, the intersection of the 'Tea' row and 'Scone' column should be 120. Looking at the table, the cell with value 120 is in the second row and second column. Therefore, the second row is 'Tea' and the second column is 'Scone'.
5. Determine the Muffin column
Since 36% of the customers surveyed buy a muffin, the total number of muffins bought is 180. Looking at the table, the column with total 180 is the third column. Therefore, the third column is 'Muffin'.
6. Determine the remaining headings
The remaining column must be 'Cookie'. Thus, the first column is 'Coffee' and the fourth column is 'Cookie'. The remaining row must be 'Coffee'. Thus, the first row is 'Coffee'.
7. State the final answer
Therefore, the table headings are:
| | Coffee | Scone | Muffin | Cookie | Total |
|--------|--------|-------|--------|--------|-------|
| Coffee | 40 | 100 | 110 | - | 250 |
| Tea | 120 | 80 | 50 | - | 250 |
| Total | 160 | 180 | 160 | - | 500 |
So, the first row is Coffee, the second row is Tea, the first column is Coffee, the second column is Scone, the third column is Muffin, and the fourth column is Cookie.
### Examples
This type of problem is useful in market research. For example, a company might survey customers to understand their preferences for different product combinations. The results can help the company optimize its product offerings and marketing strategies.
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!
- You are operating a recreational vessel less than 39 4 feet long on federally controlled waters Which of the following is a legal sound device
- Which step should a food worker complete to prevent cross contact when preparing and serving an allergen free meal A Clean and sanitize all surfaces
- For one month Siera calculated her hometown s average high temperature in degrees Fahrenheit She wants to convert that temperature from degrees Fahrenheit to degrees
Rewritten by : Jeany
