Here are the numbers of times 12 people ate out last month. $$ 3,6,7,3,6,7,4,3,4,7,3,7 $$ Find the modes of this data set.

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To find the mode of a data set, we need to identify the number that appears most frequently. Let's analyze the given data set:

$$ 3, 6, 7, 3, 6, 7, 4, 3, 4, 7, 3, 7 $$

1. **Count the frequency of each number:**
   - The number $$3$$ appears $$4$$ times.
   - The number $$4$$ appears $$2$$ times.
   - The number $$6$$ appears $$2$$ times.
   - The number $$7$$ appears $$4$$ times.

2. **Identify the highest frequency:**
   - The highest frequency is $$4$$, which corresponds to the numbers $$3$$ and $$7$$.

Since both $$3$$ and $$7$$ appear the most frequently, the modes of the data set are:

$$ 3, 7 $$

Thus, the modes of the data set are $$3$$ and $$7$$.
The modes of the data set are 3 and 7.

Here are the numbers of times 12 people ate out last month. \[ 3,6,7,3,6,7,4,3,4,7,3,7 \] Find the modes of this data set.

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