frequency polygon waiting time fraction

1. Identify the frequencies from the graph: The frequency polygon plots the frequency at the midpoint of each interval.
- For the interval $5 < x \le 6$ (midpoint 5.5), the frequency is 4.
- For the interval $6 < x \le 7$ (midpoint 6.5), the frequency is 5.
- For the interval $7 < x \le 8$ (midpoint 7.5), the frequency is 7.
- For the interval $8 < x \le 9$ (midpoint 8.5), the frequency is 8.
- For the interval $9 < x \le 10$ (midpoint 9.5), the frequency is 2.

2. Calculate the total number of patients: Add all the frequencies together:
Total = $4 + 5 + 7 + 8 + 2 = 26$.

3. Identify the number of patients who waited more than 7 minutes: This includes the intervals $7 < x \le 8$, $8 < x \le 9$, and $9 < x \le 10$.
The frequencies for these intervals are 7, 8, and 2 respectively.
Sum = $7 + 8 + 2 = 17$.

4. Calculate the fraction: The fraction of patients who waited more than 7 minutes is the sum of those frequencies divided by the total number of patients:
Fraction = $\frac{17}{26}$.