Question

if the known mass of an object is 2.5 grams, which of the following measurements is most accurate? (options: 4.29 g, 2.75 g, 0.26 g, 2.49 g) top context: known mass: 1.000 kg, measured mass: 1.001 kg, balance scale image

Explanation:

Step1: Recall accuracy definition

Accuracy is how close a measured value is to the true (known) value. We calculate the absolute difference between each measured value and the known mass (2.5 g) to find which is smallest.

Step2: Calculate difference for 4.29 g

Absolute difference: $|4.29 - 2.5| = 1.79$ g.

Step3: Calculate difference for 2.75 g

Absolute difference: $|2.75 - 2.5| = 0.25$ g.

Step4: Calculate difference for 0.26 g

Absolute difference: $|0.26 - 2.5| = 2.24$ g.

Step5: Calculate difference for 2.49 g

Absolute difference: $|2.49 - 2.5| = 0.01$ g.

Step6: Compare differences

0.01 (for 2.49 g) < 0.25 (for 2.75 g) < 1.79 (for 4.29 g) < 2.24 (for 0.26 g). So 2.49 g has the smallest difference, hence most accurate.

Answer:

The most accurate measurement is 2.49 g (the cyan - colored bar with 2.49 g).