Mode Calculation:

To calculate the mode of a set of data, we need to determine the value or values that occur most frequently. In this case, we have frequency data for different ranges of numbers. Let's calculate the mode using the given data.

Step 1: Identify the Ranges and Frequencies

We have the following ranges and their respective frequencies:

- Range: 0-9, Frequency: 5
- Range: 10-19, Frequency: 14
- Range: 20-29, Frequency: 28
- Range: 30-39, Frequency: 24
- Range: 40-49, Frequency: 18
- Range: 50-59, Frequency: 7
- Range: 60-69, Frequency: 3
- Range: 70-79, Frequency: 1

Step 2: Determine the Mode

To find the mode, we need to identify the range with the highest frequency. In this case, the range with the highest frequency is 20-29, which has a frequency of 28.

Therefore, the mode of the given data is the range 20-29, with a frequency of 28.

Explanation:

The mode is a measure of central tendency that represents the most frequently occurring value or range in a set of data. In this case, we calculated the mode for different ranges of numbers using their corresponding frequencies.

By examining the frequencies, we found that the range 20-29 has the highest frequency of 28. This means that the numbers in the range 20-29 occurred most frequently compared to the other ranges.

The mode is useful in identifying the most common value or range in a set of data, which can provide insights into the data distribution and help in making decisions or drawing conclusions.

In summary, the mode of the given data is the range 20-29, with a frequency of 28.