Riemann Sums: Videos & Practice Problems

Environmental scientists measured the concentration of a certain pollutant (in $\text{mg/L}$) in the Colorado River every hour during a $6$-hour observation period. Assume the concentration values come from a continuous function $C\left(t\right)$, where $t$ is measured in hours since the start of the study. The average concentration over the $6$-hour period is defined as $C_{\text{avg}}=\frac{1}{6}{\int }_0^{6}C\left(t\right)dt$. The data are shown in the table below:

Estimate the average pollutant concentration in the river over the $6$-hour period using the Left Riemann sum. Provide the approximate value to two decimal places.