
Interpretation:
The mean, standard deviation, standard uncertainty, range and
Also whether the number
Concept Introduction:
Mean:
The Mean or the arithmetic mean (
Standard deviation:
Standard deviation measures how closely the data are clustered about the mean.
The standard deviation (s) is given by the formula:
Standard deviation of the mean:
Standard deviation of the mean of sets of n values is:
Range:
The difference between the highest value and the lowest value in a set of data gives the range.
Confidence Intervals:
The confidence interval is given by the equation:
Where,
n is number of measurements
Grubbs Test for an Outlier:
A datum that is far from other points is known as an outlier. The consideration or rejection of that datum from the entire points is found through Grubbs test.
The Grubbs statistic G, is given as:
Where,
If
If

Answer to Problem 4.AE
The mean is
The standard deviation is
The standard uncertainty is
The range is
The
Using Grubbs test, the number
Explanation of Solution
Given data:
The given numbers are
To Calculate: The mean, standard deviation, standard uncertainty, range and
Mean:
The mean is calculated as follows,
Standard deviation:
The standard deviation is calculated as follows,
Standard uncertainty:
The standard uncertainty is calculated as follows,
Range:
The range is calculated as follows,
The
To Decide: Whether the number
Grubbs Test:
The questionable number
The
The questionable value has to be retained.
The mean is calculated as
The standard deviation is calculated as
The standard uncertainty is calculated as
The range is calculated as
The
Using Grubbs test, the number
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Chapter 4 Solutions
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