What is the calculated average volume measured by the data points?

[tex]\[
\begin{tabular}{|c|c|c|}
\hline
Trial & Volume $(mL)$ & Accepted Value \\
\hline
1 & 24.22 & \multirow{3}{*}{25.00 mL} \\
\cline{1-2}
2 & 25.64 & \\
\cline{1-2}
3 & 24.95 & \\
\hline
\end{tabular}
\][/tex]

Round your answer to the hundredths place.

Average Volume (mL): [tex]$\square$[/tex]



Answer :

To find the average volume measured by the data points, follow these steps:

1. List the volumes for each trial:

[tex]\[ \begin{align*} \text{Trial 1:} & \quad 24.22 \, \text{mL} \\ \text{Trial 2:} & \quad 25.64 \, \text{mL} \\ \text{Trial 3:} & \quad 24.95 \, \text{mL} \end{align*} \][/tex]

2. Add the volumes together:

[tex]\[ 24.22 \, \text{mL} + 25.64 \, \text{mL} + 24.95 \, \text{mL} = 74.81 \, \text{mL} \][/tex]

3. Divide the sum by the number of trials to get the average:

[tex]\[ \text{Average volume} = \frac{74.81 \, \text{mL}}{3} = 24.936666666666667 \, \text{mL} \][/tex]

4. Round the average volume to the hundredths place:

[tex]\[ 24.936666666666667 \, \text{mL} \approx 24.94 \, \text{mL} \][/tex]

Therefore, the calculated average volume, rounded to the hundredths place, is:

[tex]\[ \boxed{24.94 \, \text{mL}} \][/tex]