What is the mode for the data 20, 20, 20, 21, 21. 21, 21, 21, 22, 22, 22, 22, 22, 22, 22, 23, 23, 23, 23, 23, 24, 24 and 25?

Options

A. A) 7
B. B) 21
C. C) 22
D. D) 25

Answer

To find the mode of the given data set, we will follow these steps:

1. **List the Data**: Write down the data provided in the question.
- Data: 20, 20, 20, 21, 21, 21, 21, 21, 22, 22, 22, 22, 22, 22, 22, 23, 23, 23, 23, 23, 24, 24, 25

2. **Count the Frequency of Each Value**: We will count how many times each number appears in the data set.
- 20 appears 3 times
- 21 appears 5 times
- 22 appears 7 times
- 23 appears 5 times
- 24 appears 2 times
- 25 appears 1 time

3. **Identify the Highest Frequency**: Look for the number that appears the most frequently.
- From our counts, 22 appears 7 times, which is more than any other number.

4. **State the Mode**: The mode is the number that appears most frequently in the data set.
- Therefore, the mode of the data set is 22.

### Final Answer:
The mode of the data set is **22**.