Thank you for visiting The given frequency table shows the results of a survey If approximately tex 24 tex of the customers surveyed have a scone with their tea. 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 :
Sure! Let's work through the problem step by step to complete the frequency table based on the given information.
First, let's summarize what we know from the problem:
1. Total Customers Surveyed: There are 500 customers surveyed.
2. Percentage of Customers Buying a Scone: Approximately 24% of the customers have a scone with their tea.
3. Percentage of Customers Buying a Muffin: Approximately 36% of the customers buy a muffin.
Step 1: Calculate the Number of Customers Having a Scone
To find out how many customers have a scone, we use the 24% given:
[tex]\[ \text{Number of Scone Buyers} = 24\% \times 500 = 0.24 \times 500 = 120 \][/tex]
Step 2: Calculate the Number of Customers Buying a Muffin
Similarly, for muffins, we use the 36% given:
[tex]\[ \text{Number of Muffin Buyers} = 36\% \times 500 = 0.36 \times 500 = 180 \][/tex]
Step 3: Understand the Table and Fill the Missing Values
The table provides some numbers, and we know the totals for rows and columns:
[tex]\[
\begin{array}{|c|c|c|c|c|}
\cline { 2 - 5 }
\multicolumn{1}{c|}{} & & & & \text{Total} \\
\hline
& 40 & 100 & 110 & 250 \\
\hline
& 120 & 80 & 50 & 250 \\
\hline
\text{Total} & 160 & 180 & 160 & 500 \\
\hline
\end{array}
\][/tex]
- The first row's total is 250 items, so to find the missing value:
[tex]\[ 250 - 40 - 100 = 110 \][/tex]
- The second row also totals 250, so:
[tex]\[ 250 - 120 - 80 = 50 \][/tex]
Conclusion and Interpretation
- The number of customers who bought scones is 120.
- The number of customers who bought muffins is 180.
- The missing value in the first row, third column is 110.
- The missing value in the second row, third column is 50.
- The total for the third column matches 160, and the table completes correctly.
This completes our frequency table by filling in the required missing numbers: 110 and 50 in the respective rows and columns!
First, let's summarize what we know from the problem:
1. Total Customers Surveyed: There are 500 customers surveyed.
2. Percentage of Customers Buying a Scone: Approximately 24% of the customers have a scone with their tea.
3. Percentage of Customers Buying a Muffin: Approximately 36% of the customers buy a muffin.
Step 1: Calculate the Number of Customers Having a Scone
To find out how many customers have a scone, we use the 24% given:
[tex]\[ \text{Number of Scone Buyers} = 24\% \times 500 = 0.24 \times 500 = 120 \][/tex]
Step 2: Calculate the Number of Customers Buying a Muffin
Similarly, for muffins, we use the 36% given:
[tex]\[ \text{Number of Muffin Buyers} = 36\% \times 500 = 0.36 \times 500 = 180 \][/tex]
Step 3: Understand the Table and Fill the Missing Values
The table provides some numbers, and we know the totals for rows and columns:
[tex]\[
\begin{array}{|c|c|c|c|c|}
\cline { 2 - 5 }
\multicolumn{1}{c|}{} & & & & \text{Total} \\
\hline
& 40 & 100 & 110 & 250 \\
\hline
& 120 & 80 & 50 & 250 \\
\hline
\text{Total} & 160 & 180 & 160 & 500 \\
\hline
\end{array}
\][/tex]
- The first row's total is 250 items, so to find the missing value:
[tex]\[ 250 - 40 - 100 = 110 \][/tex]
- The second row also totals 250, so:
[tex]\[ 250 - 120 - 80 = 50 \][/tex]
Conclusion and Interpretation
- The number of customers who bought scones is 120.
- The number of customers who bought muffins is 180.
- The missing value in the first row, third column is 110.
- The missing value in the second row, third column is 50.
- The total for the third column matches 160, and the table completes correctly.
This completes our frequency table by filling in the required missing numbers: 110 and 50 in the respective rows and columns!
Thank you for reading the article The given frequency table shows the results of a survey If approximately tex 24 tex of the customers surveyed have a scone with their tea. 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
