Card 43 / 46: Calculate the mean and standard deviation of the following sample: 4.72, 4.83, 4.98, 5.07, 4.61, 2.05.
A)
4.0, 1.0
B)
1.33, 4.38
C)
4.38, 1.33
D)
4.37, 1.2
E)
4.38, 1.15
Answer:
E) 4.38, 1.15
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Mean = &sum Xi/N
Standard Deviation = ∑ ((Xi - Xmean)2 / (N-1) ) 1/2
N = number of points.
Remember to take the square and square root for the standard deviation.
If you are doing the calculations by hand, it is probably best to make a table.
Also, be sure to carry the appropriate number of significant figures through the calculation. In practice, if using a machine to do the calculations, you may find it convenient to carry a few more digits than you need throughout the calculation and then round only at the end.
Correct !
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Measurement & Experimentation Laboratory ME301
Author:
Dr.Steve GibbsProfessor
The Saylor Foundation
USA
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