To determine the mode of the given data values, we follow these steps:
1. List the Data Values: Start by writing down the data set provided:
[tex]\[
87, 29, 21, 52, 21
\][/tex]
2. Count the Frequency of Each Value: Count how often each value appears in the data set:
- 87 appears 1 time.
- 29 appears 1 time.
- 21 appears 2 times.
- 52 appears 1 time.
3. Identify the Most Frequent Value: The mode is the value that appears most frequently in the data set. From our counts:
- 87: 1 time
- 29: 1 time
- 21: 2 times
- 52: 1 time
The value 21 appears 2 times, which is more frequent than any other value in the data set.
Therefore, the mode of the given data values is:
[tex]\[
\boxed{21}
\][/tex]
