Precision vs. Accuracy: Understanding the Difference in Measurements, Lecture notes of Chemistry

The concepts of precision and accuracy in measurements, with examples and calculations using the density of gold. Students are asked to determine which student's measurements are more precise and accurate, and to calculate the percentage error of the most accurate measurement.

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2021/2022

Uploaded on 09/12/2022

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Most people think precision and accuracy are the same thing. Technically, they’re not.
Do you know the difference?
Aim: What is the difference between precision and accuracy?
Precision: how close are your measured values to each other
Accuracy: how close are your measured values to the accepted value
You just finished looking up the density of gold or silver in the quiz.
D Au = 19.320 g/cm3
This is called the accepted value; it’s found in the reference table.
Suppose two students measured the density of gold by experiment. Here are the values they obtained:
Measured Values for Density of Gold
STUDENT 1
STUDENT 2
19.300 g/cm3
18.561 g/cm3
19.310
18.560
19.330
18.562
19.315
18.562
1) Which student’s values are more accurate? Student 1 because they are closer to the accepted
value.
2) Which student’s values are more precise? Student 2 because they are closer to each other.
3) Which is the most accurate measured value? 19.315
How accurate is it? % error = measured value accepted value x 100
accepted value
= 19.315 19.320 x 100
19.320
= - 0.005 x 100
19.320
= *0.03 %
* Absolute value converts negative to positive
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Most people think precision and accuracy are the same thing. Technically, they’re not.

Do you know the difference?

Aim: What is the difference between precision and accuracy?

Precision : how close are your measured values to each other Accuracy : how close are your measured values to the accepted value

You just finished looking up the density of gold or silver in the quiz.

D Au = 19.320 g/cm^3

This is called the accepted value; it’s found in the reference table.

Suppose two students measured the density of gold by experiment. Here are the values they obtained:

Measured Values for Density of Gold

STUDENT 1 STUDENT 2

19.300 g/cm^3 18.561 g/cm^3

  1. Which student’s values are more accurate? Student 1 because they are closer to the accepted value.
  2. Which student’s values are more precise? Student 2 because they are closer to each other.
  3. Which is the most accurate measured value? 19. How accurate is it? % error = measured value – accepted value x 100 accepted value

= 19.315 – 19.320 x 100

= - 0.005 x 100

= *0.03 %

  • Absolute value converts negative to positive

Project transparency Dart Board diagram (Copied on page of sample test handout distributed at

beginning of period)

Precision vs. Accuracy

The greater the number of sig figs, the more precise the measurement.

The lower the % error, the greater the accuracy