Clarification of stats question

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SUMMARY

The discussion centers on calculating the deviation of four temperature measuring instruments from a gas thermometer across ten recorded temperature points. Participants clarify that each instrument will yield a standard deviation based on its respective set of ten data points. The key confusion arises from whether to calculate a single deviation value for each instrument or to determine deviations at each individual reading compared to the gas thermometer. The consensus is that standard deviation calculations alone do not adequately compare the instruments against the gas thermometer.

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Homework Statement


determine the deviation of each instrument from the gas thermometer at all recorded temperatures.

4 temperature measuring instruments were compared. readings were taken at 10 points (as temp was increased)

2. The attempt at a solution

the wording of the question is what's confusing me. Is each instrument going to have one value for deviation? Or is it asking for a deviation at each reading?
 
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You have four sets of data, each with 10 points? (One for each instrument)

If so, then each instrument will have a standard deviation which you can calculate using one set of data's 10 points. (There should be a formula you can use)
 
rock.freak667 said:
You have four sets of data, each with 10 points? (One for each instrument)
thats correct

rock.freak667 said:
If so, then each instrument will have a standard deviation which you can calculate using one set of data's 10 points. (There should be a formula you can use)

I thought about this, but it says "determine the deviation of each device from the gas thermometer". I could just calculate the standard deviation, but that doesn't compare it against the gas thermo.
 

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