Implied Precision: Is It 0.005 or 0.01?

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Homework Help Overview

The discussion revolves around the concept of implied precision in measurements, specifically whether it should be considered as half of the least significant figure or as "1" in the place of the least significant figure. The example given is a measured length of 3.28 m, with differing opinions on the correct implied precision of either 0.005 m or 0.01 m.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the relationship between the type of measuring instrument (analog vs. digital) and the resulting implied precision. Questions are raised about how the presentation of measurements affects the understanding of imprecision.

Discussion Status

There are differing viewpoints on the relationship between measurement presentation and imprecision. Some participants suggest that the type of instrument influences the implied precision, while others challenge this notion, emphasizing that the fundamental nature of the measurement remains analog regardless of presentation. The discussion is ongoing with no clear consensus reached.

Contextual Notes

Participants are considering the implications of different measuring instruments and their effects on perceived precision. There is an underlying assumption that the precision should be derived from the smallest division of the measuring instrument, but this is being questioned in the context of analog versus digital measurements.

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Homework Statement


Some sources say the implied precision of a measurement is half of the least significant figure, while others say the implied precision is "1" in the place of the least significant figure.

For example, a length is measured as 3.28 m. According to some sources, the implied precision is 0.005 m, while according to other sources, the implied precision is 0.01 m. Which is correct and why?

Homework Equations

The Attempt at a Solution

 
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What do you think and why?
 
phinds said:
What do you think and why?
I think it depends on the measuring instrument. If it's analog, half of the smallest division; if it's digital, the smallest division.

So in this case, if it's a measured length, I'd assume the instrument is analog and the implied precision would be +/- 0.005 m.

Does this sound right?
 
Doesn't sound right to me. The imprecision does not seem to me to be related in any way to how the measurement is PRESENTED. Things like temperature, pressure, and so forth are analog in nature and are of necessity measured as analog things. How the result is then presented has nothing to do with the imprecision in the fundamental measurement.

Yes, you can have instruments that directly produce digital results but that does not change the fact that they are measuring analog characteristics and the question is, what is the imprecision of when they change from one measurement to their next digital increment. THAT is still analog.
 
phinds said:
Doesn't sound right to me. The imprecision does not seem to me to be related in any way to how the measurement is PRESENTED. Things like temperature, pressure, and so forth are analog in nature and are of necessity measured as analog things. How the result is then presented has nothing to do with the imprecision in the fundamental measurement.

Yes, you can have instruments that directly produce digital results but that does not change the fact that they are measuring analog characteristics and the question is, what is the imprecision of when they change from one measurement to their next digital increment. THAT is still analog.
So I should always assume half of the smallest division?
 
emeraldskye177 said:
So I should always assume half of the smallest division?
That's what I always do.
 

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