Thank you for visiting Descriptive Statistics Drag each label to the correct location on the table A local café serves tea coffee cookies scones and muffins They recently gathered. 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 these values to identify the rows and columns corresponding to Tea, Scone, and Muffin.
- Deduce the remaining row and column headings based on the identified headings: Coffee and Cookie. The row headings are Coffee and Tea, and the column headings are Scone, Cookie, and Muffin. The Muffin column is implicitly 0.
The row headings are Coffee and Tea, and the column headings are Scone, Cookie, and Muffin. The Muffin column is implicitly 0.
### Explanation
1. Understand the problem and provided data
We are given a frequency table representing data from a local café about their customers who purchase both a drink and a snack. The café serves tea, coffee, cookies, scones, and muffins. We need to determine the correct row and column headings for the table, using the information that approximately 24% of surveyed customers have a scone with their tea and approximately 36% buy a muffin. The grand total of customers surveyed is 500.
2. Calculate the number of customers who have a scone with their tea
First, let's calculate the number of customers who have a scone with their tea. This is given as 24% of the total customers surveyed, which is 500. So, we calculate $0.24 \times 500 = 120$. This value corresponds to the intersection of the 'Tea' row and 'Scone' column.
3. Locate the 'Tea' row and 'Scone' column in the table
Now, let's look at the table and find the cell with the value 120. We see that the value 120 is located in the second row and the first column (excluding the 'Total' row and column). This tells us that the second row represents 'Tea' and the first column represents 'Scone'.
4. Calculate the number of customers who buy a muffin
Next, we calculate the number of customers who buy a muffin. This is given as 36% of the total customers surveyed, which is 500. So, we calculate $0.36 \times 500 = 180$. This value corresponds to the 'Muffin' column total.
5. Locate the 'Muffin' column in the table
Now, let's look at the table and find the column with the total 180. We see that the column with the total 180 is the second column from the right (excluding the 'Total' column). This tells us that this column represents 'Muffin'.
6. Deduce the remaining row and column headings
Now we know that the second row is 'Tea', so the first row must be 'Coffee'. We also know that the first column is 'Scone' and the second column from the right is 'Muffin', so the remaining column must be 'Cookie'.
7. State the final answer
Therefore, the completed table with the correct headings is:
| | Scone | Cookie | Coffee | Muffin | Total |
|----------|-------|--------|--------|--------|-------|
| Coffee | 40 | 100 | 110 | 0 | 250 |
| Tea | 120 | 80 | 50 | 0 | 250 |
| Total | 160 | 180 | 160 | 0 | 500 |
Note that the values in the 'Muffin' column are implicitly 0, as the problem only provides data about customers who purchase both a drink and a snack, and the percentages given only relate to 'Scone' and 'Muffin'.
### Examples
Understanding customer preferences in a café can help optimize inventory and marketing strategies. For example, knowing that a certain percentage of customers prefer tea with scones allows the café to create special promotions or bundle offers to increase sales.
- Calculate the number of customers who buy a muffin: $0.36 \times 500 = 180$.
- Use these values to identify the rows and columns corresponding to Tea, Scone, and Muffin.
- Deduce the remaining row and column headings based on the identified headings: Coffee and Cookie. The row headings are Coffee and Tea, and the column headings are Scone, Cookie, and Muffin. The Muffin column is implicitly 0.
The row headings are Coffee and Tea, and the column headings are Scone, Cookie, and Muffin. The Muffin column is implicitly 0.
### Explanation
1. Understand the problem and provided data
We are given a frequency table representing data from a local café about their customers who purchase both a drink and a snack. The café serves tea, coffee, cookies, scones, and muffins. We need to determine the correct row and column headings for the table, using the information that approximately 24% of surveyed customers have a scone with their tea and approximately 36% buy a muffin. The grand total of customers surveyed is 500.
2. Calculate the number of customers who have a scone with their tea
First, let's calculate the number of customers who have a scone with their tea. This is given as 24% of the total customers surveyed, which is 500. So, we calculate $0.24 \times 500 = 120$. This value corresponds to the intersection of the 'Tea' row and 'Scone' column.
3. Locate the 'Tea' row and 'Scone' column in the table
Now, let's look at the table and find the cell with the value 120. We see that the value 120 is located in the second row and the first column (excluding the 'Total' row and column). This tells us that the second row represents 'Tea' and the first column represents 'Scone'.
4. Calculate the number of customers who buy a muffin
Next, we calculate the number of customers who buy a muffin. This is given as 36% of the total customers surveyed, which is 500. So, we calculate $0.36 \times 500 = 180$. This value corresponds to the 'Muffin' column total.
5. Locate the 'Muffin' column in the table
Now, let's look at the table and find the column with the total 180. We see that the column with the total 180 is the second column from the right (excluding the 'Total' column). This tells us that this column represents 'Muffin'.
6. Deduce the remaining row and column headings
Now we know that the second row is 'Tea', so the first row must be 'Coffee'. We also know that the first column is 'Scone' and the second column from the right is 'Muffin', so the remaining column must be 'Cookie'.
7. State the final answer
Therefore, the completed table with the correct headings is:
| | Scone | Cookie | Coffee | Muffin | Total |
|----------|-------|--------|--------|--------|-------|
| Coffee | 40 | 100 | 110 | 0 | 250 |
| Tea | 120 | 80 | 50 | 0 | 250 |
| Total | 160 | 180 | 160 | 0 | 500 |
Note that the values in the 'Muffin' column are implicitly 0, as the problem only provides data about customers who purchase both a drink and a snack, and the percentages given only relate to 'Scone' and 'Muffin'.
### Examples
Understanding customer preferences in a café can help optimize inventory and marketing strategies. For example, knowing that a certain percentage of customers prefer tea with scones allows the café to create special promotions or bundle offers to increase sales.
Thank you for reading the article Descriptive Statistics Drag each label to the correct location on the table A local café serves tea coffee cookies scones and muffins They recently gathered. 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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