Significant figures and uncertainty

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SUMMARY

The discussion centers on determining the appropriate number of significant figures for a 25ml Class A pipet with an uncertainty of +/- 0.24ml. The consensus indicates that the pipet should be expressed with two significant figures, as the marking is 25. However, some participants suggest considering the uncertainty, which allows for a range of 24.76ml to 25.24ml, potentially justifying four significant figures (25.00). Ultimately, the decision may depend on the context of the final answer and the precision required.

PREREQUISITES
  • Understanding of significant figures in measurements
  • Familiarity with uncertainty in scientific measurements
  • Knowledge of Class A pipets and their specifications
  • Basic principles of rounding in scientific notation
NEXT STEPS
  • Research the rules for significant figures in scientific measurements
  • Learn about the impact of uncertainty on measurement precision
  • Explore the differences between Class A and Class B pipets
  • Study rounding techniques in scientific calculations
USEFUL FOR

This discussion is beneficial for students in chemistry or physics, laboratory technicians, and anyone involved in precise measurements and data reporting in scientific research.

Miffymycat
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Let’s say I have a class A 25ml pipet with an uncertainty of +/- 0.24ml.

If I want to express the volume of the pipet to the correct number of sig figs to say determine the sig figs in a final answer - what is it?

Is it 25 ie two, because that is the marking?

Or 25.00 ie four, because the uncertainty limits the range to 24.76 – 25.24, which are 4 sig fig values?

Or 25.0 ie three, being 0.24 rounded down to the nearest single sig fig?

Thanks!
 
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Welcome to PF!

Hi Miffymycat! Welcome to PF! :smile:
Miffymycat said:
Let’s say I have a class A 25ml pipet with an uncertainty of +/- 0.24ml.

Technically that's 2 significant figures.

(though I'd be tempted to call it 2.5 significant figures, since it obviously could be rounded to the nearest 1/2 ml)

I'd be inclined to call it ±1%, and wait and see what the final answer is …

if it's say 89.4, then make it 89 (2 sig figs) since that's ±1%

if it's say 11.4, then make it 11.4 (3 sig figs) since that's ±1%.

if it's say 33.4, then i don't know … judgment call! :confused:

What do other people think? :smile:
 


tiny-tim said:
What do other people think? :smile:

SF are faulty by design?
 

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