Find the mode for the following data.Deliveries Each Week Frequency2 74 36 28 1mode =

1. Break Down the Problem

We have a frequency distribution of deliveries over a number of weeks. The goal is to find the mode, which is the value that appears most frequently in a data set.

2. Relevant Concepts

• Mode: The mode is the value in a data set that appears most frequently. In a frequency table, it can be determined by identifying the highest frequency.

3. Analysis and Detail

• Frequency Distribution:
  • Deliveries Each Week: 2, 7, 4, 36, 28
  • Corresponding Frequency: 1, 2, 4, 6, 8

The mode of the data is the delivery count that corresponds to the highest frequency.

• Here are the frequencies of each delivery count:
  • 2 deliveries: 1 time
  • 7 deliveries: 2 times
  • 4 deliveries: 4 times
  • 36 deliveries: 6 times
  • 28 deliveries: 8 times

4. Verify and Summarize

Now, comparing the frequencies:

• The highest frequency is 8, which corresponds to 28 deliveries.

Final Answer

The mode of the data is 28 deliveries.