A researcher conducted three trials to measure the mass of dissolved solute in 100\text{ mL} of water at 25^\circ\text{C}: | Trial | Mass of Dissolved Solute (g) | |---|---| | Trial 1 | 12.0 | | Trial 2 | 14.0 | | Trial 3 | 16.0 | True or False: The average mass of dissolved solute across all three

A researcher conducted three trials to measure the mass of dissolved solute in 100\text{ m… — ACT

A researcher conducted three trials to measure the mass of dissolved solute in $100\text{ mL}$ of water at $25^\circ\text{C}$ :

True or False: The average mass of dissolved solute across all three trials is $14.0\text{ g}$ .

Answer: Answer

True. The calculated mean of the three experimental trials is exactly 14.0 g.

Adding the three trial measurements (

12.0\text{ g} + 14.0\text{ g} + 16.0\text{ g} = 42.0\text{ g}

) and dividing by the total number of trials (

3

) gives

\frac{42.0\text{ g}}{3} = 14.0\text{ g}

. Thus, the statement is true.

Retrieve the mass values for Trial 1, Trial 2, and Trial 3 from the data table.

Trial 1 =

12.0\text{ g}

, Trial 2 =

14.0\text{ g}

, Trial 3 =

16.0\text{ g}

Identify all data points needed to calculate the arithmetic mean.

Sum the retrieved mass values.

12.0\text{ g} + 14.0\text{ g} + 16.0\text{ g} = 42.0\text{ g}

Calculate the total mass recorded across all three trials.

Divide the total mass by the number of trials (

3

\frac{42.0\text{ g}}{3} = 14.0\text{ g}

Obtain the average value per trial.

Calculating the average of data points collected from experimental trials