Question

a teacher divides her class into groups and assigns each group a task of measuring the mass of the same object three times.the teacher already knows that the mass of the object is 25g based on the results each group records,which group makes the most precise measurement of the object

Answer 1

Answer:

This question lacks options, the options are:

A. Group C: 32.1 g, 35.0 g, 25.0 g

B. Group B: 25.5 g, 25.0 g, 24.8 g

C. Group A: 28.5g, 28.4 g, 28.5 g

D. Group D: 20.0 g, 25.0 g, 30.09

The answer is C. GROUP A

Explanation:

Precision in measurements refers to the degree of closeness between the repeated or measured values irrespective of how close they are to the true or accepted value, which is 25g in this case.

The precision of a measurement can be determined by simply finding the range (highest - lowest) of the measurements. The lowest range represents the most precise. The measurements for each group are:

Group C: 32.1 g, 35.0 g, 25.0 g

Range = 35.0 - 25.0 = 10g

Group B: 25.5 g, 25.0 g, 24.8 g

Range = 25.5 - 24.8 = 0.7g

Group A: 28.5g, 28.4 g, 28.5 g

Range: 28.5 - 28.4 = 0.1g

Group D: 20.0 g, 25.0 g, 30.09

Range = 30.09 - 25.0= 5.09g

Based on the ranges of the measurements in each group, one would notice that Group A has the lowest range (0.1g), hence, GROUP A is the most precise.