To find the mode for the given data, follow these steps:
1. Understand the Definitions: The mode is the value that appears most frequently in a data set.
2. List the Data: The data is presented as the number of deliveries each week and their frequencies, as shown below:
[tex]\[
\begin{array}{|c|c|}
\hline
\text{Deliveries Each Week} & \text{Frequency} \\
\hline
5 & 6 \\
\hline
10 & 5 \\
\hline
15 & 3 \\
\hline
20 & 1 \\
\hline
\end{array}
\][/tex]
3. Identify the Highest Frequency: Review the frequency of each delivery count:
- For 5 deliveries, the frequency is 6.
- For 10 deliveries, the frequency is 5.
- For 15 deliveries, the frequency is 3.
- For 20 deliveries, the frequency is 1.
4. Compare the Frequencies: Determine which frequency is the highest:
- The frequency 6 (for 5 deliveries) is the highest among all the frequencies listed.
5. Determine the Mode: The mode is the delivery value associated with the highest frequency, which means the number of deliveries that occur most frequently is 5.
Therefore, the mode for the given data is:
[tex]\[
\boxed{5}
\][/tex]
