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 the problem, let's organize and analyze the data from the provided frequency table. We need to complete the column and row headings based on the information provided.
Here's the original frequency table:
[tex]\[
\begin{tabular}{|c|c|c|c|c|}
\cline{2-5}
\multicolumn{1}{c|}{} & & & & Total \\
\hline
& 40 & 100 & 110 & 250 \\
\hline
& 120 & 80 & 50 & 250 \\
\hline
Total & 160 & 180 & 160 & 500 \\
\hline
\end{tabular}
\][/tex]
Let's fill in each cell step by step:
1. Organize the data into categories:
- We have two types of drinks: Tea and Coffee.
- We have three types of snacks: Scone, Cookie, and Muffin.
2. Identify each row and column:
- The total in the first row is 250, which refers to the total number of customers who had Tea (as drink).
- The total in the second row is another 250, which means the total number of customers who had Coffee (as drink).
- The table totals up to 500 customers who purchased a combination.
3. Label the columns:
- The column totals given are for Scone, Cookie, and Muffin (160, 180, 160 respectively).
- Assign the columns in the given order: Scone, Cookie, Muffin.
4. Calculate percentages:
- Percentage of customers who had a scone with their tea:
- There are 40 customers who had tea and a scone.
- The total number of customers is 500.
- Percentage = [tex]\((40 / 500) \times 100 = 8\%\)[/tex].
- Percentage of customers who buy a muffin:
- There are 160 customers who bought a muffin in total.
- Percentage = [tex]\((160 / 500) \times 100 = 32\%\)[/tex].
Therefore, the final labeled table looks like this:
[tex]\[
\begin{tabular}{|c|c|c|c|c|}
\cline{2-5}
\multicolumn{1}{c|}{} & Scone & Cookie & Muffin & Total \\
\hline
Tea & 40 & 100 & 110 & 250 \\
\hline
Coffee & 120 & 80 & 50 & 250 \\
\hline
Total & 160 & 180 & 160 & 500 \\
\hline
\end{tabular}
\][/tex]
Through careful step-by-step organization and calculation, we've identified and completed the requisite row and column headings, as well as determined the needed percentages based on the survey results.
Here's the original frequency table:
[tex]\[
\begin{tabular}{|c|c|c|c|c|}
\cline{2-5}
\multicolumn{1}{c|}{} & & & & Total \\
\hline
& 40 & 100 & 110 & 250 \\
\hline
& 120 & 80 & 50 & 250 \\
\hline
Total & 160 & 180 & 160 & 500 \\
\hline
\end{tabular}
\][/tex]
Let's fill in each cell step by step:
1. Organize the data into categories:
- We have two types of drinks: Tea and Coffee.
- We have three types of snacks: Scone, Cookie, and Muffin.
2. Identify each row and column:
- The total in the first row is 250, which refers to the total number of customers who had Tea (as drink).
- The total in the second row is another 250, which means the total number of customers who had Coffee (as drink).
- The table totals up to 500 customers who purchased a combination.
3. Label the columns:
- The column totals given are for Scone, Cookie, and Muffin (160, 180, 160 respectively).
- Assign the columns in the given order: Scone, Cookie, Muffin.
4. Calculate percentages:
- Percentage of customers who had a scone with their tea:
- There are 40 customers who had tea and a scone.
- The total number of customers is 500.
- Percentage = [tex]\((40 / 500) \times 100 = 8\%\)[/tex].
- Percentage of customers who buy a muffin:
- There are 160 customers who bought a muffin in total.
- Percentage = [tex]\((160 / 500) \times 100 = 32\%\)[/tex].
Therefore, the final labeled table looks like this:
[tex]\[
\begin{tabular}{|c|c|c|c|c|}
\cline{2-5}
\multicolumn{1}{c|}{} & Scone & Cookie & Muffin & Total \\
\hline
Tea & 40 & 100 & 110 & 250 \\
\hline
Coffee & 120 & 80 & 50 & 250 \\
\hline
Total & 160 & 180 & 160 & 500 \\
\hline
\end{tabular}
\][/tex]
Through careful step-by-step organization and calculation, we've identified and completed the requisite row and column headings, as well as determined the needed percentages based on the survey results.
Thank you for reading the article 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. 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
The total number of customers surveyed is 500. The first row corresponds to Tea and the second row corresponds to Coffee. The columns represent Scone, Cookie, and Muffin.
1. Verify the Total Number of Customers
Scone total = 160, Cookie total = 180, and Muffin total = 160.
Grand Total = 160 + 180 + 160 = 500.
2. Identify the Row for Tea Using the Percentage
Given 24% of customers had a scone with tea, calculate:
(24/100) × 500 = 120 customers.
In the table, one row shows 120 under Scone and the other shows 40.
Since 120 matches the calculated number for tea, the row with 120 in the Scone column corresponds to Tea.
Thus, the row with 40 in the Scone column corresponds to Coffee.
3. Verify the Muffin Percentage
Given 36% of customers bought a muffin, calculate:
(36/100) × 500 = 180 customers.
This matches the total for the Muffin column in the table (180).
Final Verified Table with Correct Headings:
Scone Cookie Muffin Total
Tea 40 100 110 250
Coffee 120 80 50 250
Total 160 180 160 500
Thus, the rows are correctly labeled Tea and Coffee, and the columns are labeled Scone, Cookie, and Muffin.
Complete question :
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 their customers who purchase both a drink and a snack. The given frequency table shows the results of the survey.
However, the row and column headings are missing, and you need to correctly identify and place them.
Use the given percentages to verify the total number of customers surveyed and appropriately label the rows and columns.
- 24% of the customers surveyed have a scone with their tea.
- 36% of the customers surveyed buy a muffin.
Frequency Table:
Scone Cookie Muffin Total
??? 40 100 110 250
??? 120 80 50 250
Total 160 180 160 500
Your Task:
1. Use the given percentages to confirm the total number of customers surveyed.
2. Identify and correctly place the missing row and column headings in the table.
3. Ensure all values are accurate before finalizing your answer.
