Question

the following density measurements were made by john during his science experiment: trial 1: 0.98 g/ml, trial 2: 0.99 g/ml, and trial 3: 0.97 g/ml. according to his teacher, the density of the object is 0.97 g/ml. discuss john’s accuracy and precision of measurement.

Explanation:

• Precision: John's trials (0.98, 0.99, 0.97 g/mL) are close to each other (range = 0.99 - 0.97 = 0.02), so precise.
• Accuracy: The average of trials is $\frac{0.98 + 0.99 + 0.97}{3} = 0.98$ g/mL, close to the true value (0.97 g/mL), so accurate (small error).

Answer:

John’s measurements are precise (trials are close) and accurate (average close to true density). The trials (0.98, 0.99, 0.97 g/mL) have a small range (0.02), and the average (0.98 g/mL) is near the true value (0.97 g/mL).