Chapter 10 - Precision and Accuracy of Chemical Analyses Flashcards
Measurements always contain ____ and ______
- errors
- uncertainties
Measurement data can only give us an _______ of the “true” value
estimate
Why is estimating the reliability of experimental data is extremely important whenever we collect laboratory results?
because data of unknown quality are worthless
Results that might not seem especially accurate may be of considerable value…
if the limits of uncertainty are known
It is the best estimate of the true value
central value for the set
It is done in order to improve the reliability and to obtain information about the variability of results
Replicates
The most widely used measure of central value
mean
mean is also called as
arithmetic mean or average
Mean is obtained by
by dividing the sum of replicate measurements by the number of measurements in the set
∑xi means
to add all of the values xi for the replicates
Formula of Mean
x̄ = add all values for replicates / number of replicates
It is the middle result when replicate data are arranged in increasing or decreasing order
Median
How can you determine the median for an odd number of results?
by arranging the results in order and locating the middle result
How can you determine the median for an even number of results?
the average value of the middle pair is used
It indicates the closeness of the measurement to the true or accepted value
Accuracy
Accuracy is expressed by the ____
error
It is a measure of how close a series of measurements are to one another
Precision
Precision describes the ________ of measurements - in other words, …
- reproducibility
- the closeness of resuts that have been obtained in exactly the same way
Three terms used to describe the precision of a set of replicate data:
- Standard deviation
- Variance
- Coeffcient of variation
These three are functions of
how much an individual result xi differs from the mean, called the ________
deviation from the mean di
Deviation from the mean di formula
di = |xi - x̄|
What must be comapred to evaluate the accuracy of a measurement?
The measured value must be compared to the correct value
What must be comapred to evaluate the precision of a measurement?
You must compare the values of two or more repeated measurements
The difference between the experimental value and the accepted value
Error
Formula of Error
Error = experimental value - accepted value
It is the correct value based on reliable references
Accepted value