To find the range of the data, we need to identify the maximum and minimum values of the number of pieces of pizza eaten:
Data Set: 3, 2, 6, 2, 1, 4, 2, 5, 4, 6
Maximum Value: 6
Minimum Value: 1
Now, we can calculate the range:
\[ \text{Range} = \text{Maximum} - \text{Minimum} = 6 - 1 = 5 \]
So, the range is 5 pieces.
Interpretation: This means that the difference between the maximum number of pieces eaten (6) and the minimum number of pieces eaten (1) is 5 pieces. This indicates that there is some variability in the amount of pizza eaten by the surveyed people at the party.