Student A Student B Measurement #1. 3.20 g/mL 2.82 g/mL Measurement #2. 2.58 g/m
ID: 819797 • Letter: S
Question
Student A Student B
Measurement #1. 3.20 g/mL 2.82 g/mL
Measurement #2. 2.58 g/mL 2.48 g/mL
Measurement #3. 2.10 g/mL 2.59 g/mL
mean: 2.63 g/mL 2.63 g/mL
Correct density: 2.65 g/mL
I know that student B is more precise, but I am not sure which is more accurate because both average the same density. Is it the average that matters for accuracy? or each individual measurement?
Explanation / Answer
var(a) = (3.2-2.63)^2 + (2.58-2.63)^2 + (2.10-2.63)^2
var(b) = (3.2-3.82)^2 +(3.2-3.48)^2 +(3.2-3.59)^2
Student B is more accurate because his variance of readings is less