Answer to Question #241017 in Physics for paul warren ilagan

Question

The standard mass of an unknown substance is 15.6g. Which of the following set has the least accurate value? Show solutions

Trial A B C

1 15.6 15.8 15.6

2 15.4 14.6 15.5

3 15.6 14.7 15.8

Answer 1

The least accurate set contains the value that high the highest difference from the standard value:

$$\Delta_{\text{1max}}=|15.8-15.6|=0.2\text{ g},\\ \Delta_{\text{2max}}=|14.6-15.6|=1.0\text{ g},\\ \Delta_{\text{3max}}=|14.7-15.6|=0.9\text{ g},\\$$

the least accurate is set 2.