The following list gives the number of siblings for each of 13 students. $$ 3,3,1,4,2,2,1,3,3,3,0,0,0 $$ Find the modes of this data set.

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1. Write down the data set:
   $$
   3,\, 3,\, 1,\, 4,\, 2,\, 2,\, 1,\, 3,\, 3,\, 3,\, 0,\, 0,\, 0
   $$

2. Count the frequency of each distinct value:
   - For $$0$$: appears $$3$$ times.
   - For $$1$$: appears $$2$$ times.
   - For $$2$$: appears $$2$$ times.
   - For $$3$$: appears $$5$$ times.
   - For $$4$$: appears $$1$$ time.

3. Identify the mode:
   The mode is the value that appears most frequently.
   Since $$3$$ appears $$5$$ times, which is more than any other number, the mode is:
   $$
   3
   $$

4. Final Answer:
   The mode of the data set is $$3$$.
The mode of the data set is 3.

The following list gives the number of siblings for each of 13 students. \[ 3,3,1,4,2,2,1,3,3,3,0,0,0 \] Find the modes of this data set.

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