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: $0.36 \times 500 = 180$.
- Identify the 'Muffin' column as the one with a total of 180, the 'Tea' row and 'Scone' column as the intersection with the value 120.
- Determine the remaining row and column headings based on the table values: Coffee and Cookie. The final answer is:
| | Scone | Muffin | Cookie | Total |
|----------|-------|--------|--------|-------|
| Coffee | 40 | 100 | 110 | 250 |
| Tea | 120 | 80 | 50 | 250 |
| Total | 160 | 180 | 160 | 500 |
### Explanation
1. Understand the problem and provided data
We are given a frequency table showing data about customers who purchase a drink and a snack at a café. We need to determine the correct row and column headings for the table, given that 24% of customers have a scone with their tea and 36% buy a muffin. The total number of customers surveyed is 500.
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 have the value 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 'Muffin' column should have a total of 180.
4. Identify the rows and columns based on the calculations
Looking at the table, we see that the column with a total of 180 is the second column. Therefore, the second column is 'Muffin'. The row and column where the value is 120 is the second row and the first column. Therefore, the second row is 'Tea' and the first column is 'Scone'.
5. Determine the remaining row and column headings
Since the total for the row with 'Tea' is 250, and the total number of customers is 500, the other row must be 'Coffee'. The remaining column headings must be 'Cookie' and 'Scone'.
6. Finalize the table headings
Now we can fill in the table:
| | Scone | Muffin | Cookie | Total |
|----------|-------|--------|--------|-------|
| Coffee | 40 | 100 | 110 | 250 |
| Tea | 120 | 80 | 50 | 250 |
| Total | 160 | 180 | 160 | 500 |
So, the column headings are Scone, Muffin, and Cookie, and the row headings are Coffee and Tea.
### Examples
Understanding customer preferences in a café can help optimize inventory and marketing strategies. For example, knowing that a certain percentage of tea drinkers prefer scones can help the café ensure they have enough scones available during peak tea times, and they can create targeted promotions to increase sales.
- Calculate the number of customers who buy a muffin: $0.36 \times 500 = 180$.
- Identify the 'Muffin' column as the one with a total of 180, the 'Tea' row and 'Scone' column as the intersection with the value 120.
- Determine the remaining row and column headings based on the table values: Coffee and Cookie. The final answer is:
| | Scone | Muffin | Cookie | Total |
|----------|-------|--------|--------|-------|
| Coffee | 40 | 100 | 110 | 250 |
| Tea | 120 | 80 | 50 | 250 |
| Total | 160 | 180 | 160 | 500 |
### Explanation
1. Understand the problem and provided data
We are given a frequency table showing data about customers who purchase a drink and a snack at a café. We need to determine the correct row and column headings for the table, given that 24% of customers have a scone with their tea and 36% buy a muffin. The total number of customers surveyed is 500.
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 have the value 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 'Muffin' column should have a total of 180.
4. Identify the rows and columns based on the calculations
Looking at the table, we see that the column with a total of 180 is the second column. Therefore, the second column is 'Muffin'. The row and column where the value is 120 is the second row and the first column. Therefore, the second row is 'Tea' and the first column is 'Scone'.
5. Determine the remaining row and column headings
Since the total for the row with 'Tea' is 250, and the total number of customers is 500, the other row must be 'Coffee'. The remaining column headings must be 'Cookie' and 'Scone'.
6. Finalize the table headings
Now we can fill in the table:
| | Scone | Muffin | Cookie | Total |
|----------|-------|--------|--------|-------|
| Coffee | 40 | 100 | 110 | 250 |
| Tea | 120 | 80 | 50 | 250 |
| Total | 160 | 180 | 160 | 500 |
So, the column headings are Scone, Muffin, and Cookie, and the row headings are Coffee and Tea.
### Examples
Understanding customer preferences in a café can help optimize inventory and marketing strategies. For example, knowing that a certain percentage of tea drinkers prefer scones can help the café ensure they have enough scones available during peak tea times, and they can create targeted promotions to increase sales.
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
