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Zorluk: KolayCalculating with Data

A researcher conducted three trials to measure the mass of dissolved solute in 100 mL100\text{ mL} of water at 25C25^\circ\text{C}:

TrialMass of Dissolved Solute (g)
Trial 112.0
Trial 214.0
Trial 316.0

True or False: The average mass of dissolved solute across all three trials is 14.0 g14.0\text{ g}.

Cevap: Cevap

Cevap

True. The calculated mean of the three experimental trials is exactly 14.0 g.
Adding the three trial measurements (12.0 g+14.0 g+16.0 g=42.0 g12.0\text{ g} + 14.0\text{ g} + 16.0\text{ g} = 42.0\text{ g}) and dividing by the total number of trials (33) gives 42.0 g3=14.0 g\frac{42.0\text{ g}}{3} = 14.0\text{ g}. Thus, the statement is true.

Adım Adım Çözüm

1
Retrieve the mass values for Trial 1, Trial 2, and Trial 3 from the data table.
Trial 1 = 12.0 g12.0\text{ g}, Trial 2 = 14.0 g14.0\text{ g}, Trial 3 = 16.0 g16.0\text{ g}.
Identify all data points needed to calculate the arithmetic mean.
2
Sum the retrieved mass values.
12.0 g+14.0 g+16.0 g=42.0 g12.0\text{ g} + 14.0\text{ g} + 16.0\text{ g} = 42.0\text{ g}.
Calculate the total mass recorded across all three trials.
3
Divide the total mass by the number of trials (33).
42.0 g3=14.0 g\frac{42.0\text{ g}}{3} = 14.0\text{ g}.
Obtain the average value per trial.

Anahtar Kavram

Calculating the average of data points collected from experimental trials
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