Mode:
The mode is a statistical measure that represents the most frequently occurring value(s) in a data set. In other words, it is the value(s) that appears the highest number of times.

Observations:
The given observations are: 5, 3, 6, 3, 6, 10, 7, 2.

Calculating the Mode:
To find the mode, we need to identify the value(s) that appear(s) most frequently in the given data set.

- Sort the observations in ascending order: 2, 3, 3, 5, 6, 6, 7, 10.
- Count the frequency of each value: 2 (1 occurrence), 3 (2 occurrences), 5 (1 occurrence), 6 (2 occurrences), 7 (1 occurrence), 10 (1 occurrence).

Mode(s):
The value(s) that appear(s) most frequently in the given data set is/are the mode(s). In this case, we have:
- Mode 1: 3 (appears 2 times)
- Mode 2: 6 (appears 2 times)

Explanation:
The given data set has two modes, which are 3 and 6. Both of these values appear twice in the set, making them the most frequently occurring values. The mode(s) represent the central tendency of the data set and can be useful in understanding its distribution.

Summary:
- The mode is a statistical measure representing the most frequently occurring value(s) in a data set.
- The given data set has two modes: 3 and 6.
- Mode 1: 3 (appears 2 times)
- Mode 2: 6 (appears 2 times)
- The mode(s) help in understanding the central tendency of the data set.