Analyzing Data

1
Analyzing Data
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Mean
Mean The mathematical average of all numbers in
a subset
Where sum of i 1 to N (final number)
N
1
3
Mean
N
1
Sum the numbers 18.60 , 19.30, 17.70 and 20.40!
4
Mean( )
N
1
5
Standard Deviation
S.D. The degree to which numbers are
significantly variated from one another
N
2
1
6
Standard Deviations Bell Curve
S.D. The degree to which numbers are
significantly variated from one another .Bell
Curve is a probability Curve.
13.5
13.5
68
N
2.5
2.5
2
1
2
2
3
3
95
99.75
7
Standard Deviation
Now find the standard deviation with the four
number set we used in finding the mean !
2
2
8
of Error
Percentage by which experimental value differs
from the accepted value
9
of Difference
Percentage by which experimental value differs
from other experimental values
X 100
2
10
Math Sources of Error

• Personal(mis-timed, bad math , misread,
  misdemeanor)
• Systemic(un-calibrated machine, broken
  apparatus)
• Random (unseen factors-temp., vibration, etc)