Definitions Flashcards
Error
The difference between the measured value and the true value
Uncertainty
The range/interval within which the true value lies
Independent variable
The variable for which values are changed by the experimenter
Dependent variable
The variable for which values are measured for each and every change of the independent variable
Control variable
May affect the outcome of the investigation
Must be kept constant or at least monitored
Random error
Present due to the way an instrument works, the surrounding environment changing or the way it is used
How is random error reduced
By taking repeated values and then averaging them
Systematic errors
Measurements that are consistently too large or too small by the same amount each time
Why might we have systematic errors
Not measuring zero error
Not calibrating equipment
Poor technique ( causing parallax error)
Recording the wrong unit
What is zero error
When the measuring equipment is not set on zero accurately
Should be added or subtracted from recorded values
How to take zero error into consideration
Minus or add onto recorded values
How can systematic error be seen on a graph
The line of best fit doesn’t go through zero
Doesn’t effect gradient of line of best fit but simply alters y intercept
Accuracy
A measurement close to the true value
Precision
The consistency between values obtained by repeated values
Seen to be precise if they cluster together
Really precise if all lie on line of best fit
Uncertainty for a single reading is at least
Half the resolution of the equipment
Uncertainty for repeated readings that are different can be taken as
Half the range of the readings
A reading is
A value found from a single judgement
A measurement
Requires the value to be taken from two readings or judgments
E.g.
Stopwatch
A non zero ended ruler
Extension of spring (original and extension)
Uncertainty of a reading
+/- 0.5 resolution
Uncertainty of a measurement
+/- 1 of the resolution
The uncertainty should be quoted to the same decimal places as…
The reading
Resolution
The smallest change in value that can be measured using the instrument
Resolution allows us to assess the
Minimum possible uncertainty
Tolerance
A percentage uncertainty quoted by the manufacturer
With a digital measuring machine what is the uncertainty
Will be +/- the smallest division shown on the meter
Percentage uncertainty eq
Uncertainty/ value x100%
Combining uncertainties by adding them or subtracting them
Add the absolute uncertainties of each quantity
Combining the uncertainties by multiplying or dividing
Add the percentage uncertainties of each quantity
Combining uncertainties of a quantity is raised to a power
Multiply the percentage uncertainty by the power
Table heading should include
Quantity/ units
In this format
In a table the number of significant figures/decimal places should be….
Consistent down the column
How to write logarithmic headings for tables
Ln (quantity/ unit)
As ln/logs don’t have units of their own
Significant figures should always be the same as
The smallest number of significant figures
Good experimental design
Design to limit uncertainty number (have as few as possible)
Parallax
A type of error that is created when looking at the scale from an angle
Makes measurement larger or smaller than true value
What to remember not to do w a micrometer
Use The ratchet
Not to over tighten
Percentage uncertainty of repeat measurements
1/2 range / mean value x100%
What can you do to decrease random error
Repeat