Calculate the Average of Three Numbers: 2, 5, and 9

To solve for the average of the numbers 2, 5, and 9, we will follow these steps:

• Step 1: Add the numbers together.
• Step 2: Count the number of values.
• Step 3: Divide the sum by the count to find the average.

We start by calculating the sum of the numbers:

$2 + 5 + 9 = 16$

Next, we count the number of values, which is 3.

Now, we calculate the average using the formula for the arithmetic mean:

$\text{Average} = \frac{16}{3} = 5\frac{1}{3}$

Therefore, the average of the numbers 2, 5, and 9 is $5\frac{1}{3}$.

This matches choice 2 from the provided options.