To correctly label the table, we need to fill in the row and column headings for the given survey data based on the provided information and calculations.
Here’s the step-by-step analysis:
1. Identify the labels for rows:
- The first row of data represents customers with tea.
- The second row of data represents customers with coffee.
- The last row and last column in each section represent the totals.
2. Identify the labels for columns:
- The first column is used to describe the type of drink and sums in the table.
- The remaining columns represent the type of snacks which are Cookie, Scone, and Muffin.
3. Place correct data in appropriate cells:
- Tea with Cookie: [tex]\( 40 \)[/tex]
- Tea with Scone: [tex]\( 120 \)[/tex] (because 24% of 500 customers results in 120 customers having a scone with their tea)
- Tea with Muffin: [tex]\( 110 \)[/tex]
- Total customers with tea: [tex]\( 250 \)[/tex]
- Coffee with Cookie: [tex]\( 120 \)[/tex]
- Coffee with Scone: [tex]\( 80 \)[/tex]
- Coffee with Muffin: [tex]\( 50 \)[/tex] (because 250 - (120 + 80) must be 50)
- Total customers with coffee: [tex]\( 250 \)[/tex]
- Total customers who bought Cookie: [tex]\( 160 \)[/tex]
- Total customers who bought Scone: [tex]\( 180 \)[/tex]
- Total customers who bought Muffin: [tex]\( 160 \)[/tex] (because 36% of 500 customers results in 180 customers buying a muffin)
Taking all this into our table format, it should now look like this:
[tex]\[
\begin{tabular}{|c|c|c|c|c|}
\cline{2-5}
\multicolumn{1}{c|}{} & Cookie & Scone & Muffin & Total \\
\hline
Tea & 40 & 120 & 110 & 250 \\
\hline
Coffee & 120 & 80 & 50 & 250 \\
\hline
Total & 160 & 180 & 160 & 500 \\
\hline
\end{tabular}
\][/tex]
Hence the labels should be as follows:
- The row labels are "Tea" and "Coffee".
- The column labels are "Cookie", "Scone", and "Muffin".
