Thank you for visiting A local café serves tea coffee cookies scones and muffins They recently gathered data about their customers who purchase both a drink and a snack. 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 this problem, we need to complete the column and row headings for the given frequency table and verify that the data aligns with the given percentages of customers who purchase scones with tea and muffins.
1. Understand the Data Provided:
- The café gathered data from a survey of 500 customers who purchase both a drink and a snack.
- The frequency table has two rows for Tea and Coffee, with a total of 500 customers.
2. Given Percentages:
- 24% of customers have a scone with their tea.
- 36% of customers buy a muffin.
3. Calculate Specific Customer Numbers:
- Calculate the number of customers who have a scone with their tea:
- [tex]\( 24\% \)[/tex] of 500 customers is calculated as:
[tex]\[ \text{Customers who have a scone with tea} = 0.24 \times 500 = 120 \][/tex]
- Calculate the number of customers who buy a muffin:
- [tex]\( 36\% \)[/tex] of 500 customers is calculated as:
[tex]\[ \text{Customers who buy a muffin} = 0.36 \times 500 = 180 \][/tex]
4. Frequency Table Column and Row Totals:
- The table indicates that there are totals for tea and coffee, which are both 250.
- Total customers having tea-based snacks: 250
- Total customers having coffee-based snacks: 250
- Column totals for the types of snacks are given as:
- Cookies: 160
- Muffins: 180
- Scones: 160
This completes the specific calculations you need to understand how the data fits into the frequency table. The numbers calculated ensure that the breakdown of customers purchasing different snack and drink combinations aligns with the given survey percentages.
1. Understand the Data Provided:
- The café gathered data from a survey of 500 customers who purchase both a drink and a snack.
- The frequency table has two rows for Tea and Coffee, with a total of 500 customers.
2. Given Percentages:
- 24% of customers have a scone with their tea.
- 36% of customers buy a muffin.
3. Calculate Specific Customer Numbers:
- Calculate the number of customers who have a scone with their tea:
- [tex]\( 24\% \)[/tex] of 500 customers is calculated as:
[tex]\[ \text{Customers who have a scone with tea} = 0.24 \times 500 = 120 \][/tex]
- Calculate the number of customers who buy a muffin:
- [tex]\( 36\% \)[/tex] of 500 customers is calculated as:
[tex]\[ \text{Customers who buy a muffin} = 0.36 \times 500 = 180 \][/tex]
4. Frequency Table Column and Row Totals:
- The table indicates that there are totals for tea and coffee, which are both 250.
- Total customers having tea-based snacks: 250
- Total customers having coffee-based snacks: 250
- Column totals for the types of snacks are given as:
- Cookies: 160
- Muffins: 180
- Scones: 160
This completes the specific calculations you need to understand how the data fits into the frequency table. The numbers calculated ensure that the breakdown of customers purchasing different snack and drink combinations aligns with the given survey percentages.
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Rewritten by : Jeany