6.5 Average Value of a Function/15

The table gives values of a continuous function. Use the Midpoint Rule to estimate the average value of $f$ on Failed to parse (unknown function "\math"): {\displaystyle [20, 50] <\math>. <math> \begin{align} f_{avg} &= \frac{1}{30} \int_{20}^{50} f(x)dx \\[2ex] &=\frac{1}{30} \left[10\bigg( f(25)+f(35)+f(45) \bigg) \right] = \frac{1}{3} \bigg(38+29+48 \bigg) \\[2ex] &= \frac{115}{3} \\[2ex] &= 38 \frac{1}{3} \end{align} }