To find the average (mean) of the data from the given frequency table, we can follow these steps:

1. Find the midpoint for each interval.
2. Multiply the midpoint by the frequency for each interval to get the contribution of each class.
3. Sum up all the contributions.
4. Divide by the total frequency to get the mean.

Let's break it down:

Step 1: Find the midpoints of each class

• For the interval $2 - 6$, midpoint = $\frac{2 + 6}{2} = 4$
• For the interval $7 - 11$, midpoint = $\frac{7 + 11}{2} = 9$
• For the interval $12 - 16$, midpoint = $\frac{12 + 16}{2} = 14$
• For the interval $17 - 21$, midpoint = $\frac{17 + 21}{2} = 19$
• For the interval $22 - 26$, midpoint = $\frac{22 + 26}{2} = 24$

Step 2: Multiply each midpoint by its corresponding frequency

• $4 \times 2 = 8$
• $9 \times 3 = 27$
• $14 \times 3 = 42$
• $19 \times 6 = 114$
• $24 \times 6 = 144$

Step 3: Add these products together

$8 + 27 + 42 + 114 + 144 = 335$

Step 4: Add the total frequency

$2 + 3 + 3 + 6 + 6 = 20$

Step 5: Divide the sum by the total frequency to find the mean

$\text{Mean} = \frac{335}{20} = 16.75$

Thus, the average (