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Answer :
To solve the problem of determining the column and row headings based on the given percentages and the frequency table, follow these steps:
1. Identify Known Values from Percentages:
- Scone with Tea: It is given that approximately 24% of the customers have a scone with their tea. To find the number of such customers, calculate 24% of the total number of customers who buy tea.
- Muffin Purchasers: Approximately 36% of all customers buy a muffin.
2. Setup:
- From the table, we know that the total number of customers who purchased a drink (both tea and coffee combined) and a snack is 500.
3. Calculating the Total of the Table Rows and Columns:
- The row totals provide information about how many customers bought each type of drink:
- Total Tea = 160
- Total Coffee = 180
- The column totals give information about how many people bought each snack:
- Total Scone = 110
- Total Muffin = 160
4. Using the Givens and Calculating Specific Values:
- Scone with Tea: Calculate 24% of 160 (total tea purchasers) to determine the number of customers who chose a scone with their tea, which is approximately 38.4. Since we cannot have a fraction of a customer, in a real-world scenario, you would assume it to be 38 or 39 based on rounding.
- Muffin Purchasers: Calculate 36% of the total 500 customers to identify the number of customers who bought muffins, which results in approximately 180.
5. Confirm and Fill in the Table:
- Now understand that with these calculations, the initial error or different numbers may arise from rounding or approximations in real-world data. Adjust the 180 figure to match the table’s "muffin" frequency.
- Consistency should ensure that total calculations align perfectly with the confines of a survey, adjusting percentages where necessary to ensure whole numbers.
This step-by-step process helps determine the specific number of customers falling into each category based on the given percentages and totals within the table framework.
1. Identify Known Values from Percentages:
- Scone with Tea: It is given that approximately 24% of the customers have a scone with their tea. To find the number of such customers, calculate 24% of the total number of customers who buy tea.
- Muffin Purchasers: Approximately 36% of all customers buy a muffin.
2. Setup:
- From the table, we know that the total number of customers who purchased a drink (both tea and coffee combined) and a snack is 500.
3. Calculating the Total of the Table Rows and Columns:
- The row totals provide information about how many customers bought each type of drink:
- Total Tea = 160
- Total Coffee = 180
- The column totals give information about how many people bought each snack:
- Total Scone = 110
- Total Muffin = 160
4. Using the Givens and Calculating Specific Values:
- Scone with Tea: Calculate 24% of 160 (total tea purchasers) to determine the number of customers who chose a scone with their tea, which is approximately 38.4. Since we cannot have a fraction of a customer, in a real-world scenario, you would assume it to be 38 or 39 based on rounding.
- Muffin Purchasers: Calculate 36% of the total 500 customers to identify the number of customers who bought muffins, which results in approximately 180.
5. Confirm and Fill in the Table:
- Now understand that with these calculations, the initial error or different numbers may arise from rounding or approximations in real-world data. Adjust the 180 figure to match the table’s "muffin" frequency.
- Consistency should ensure that total calculations align perfectly with the confines of a survey, adjusting percentages where necessary to ensure whole numbers.
This step-by-step process helps determine the specific number of customers falling into each category based on the given percentages and totals within the table framework.
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Rewritten by : Jeany
