Assignment 1 Crib:
6-2
(c) Accuracy represents the agreement between a measured value and the true or
accepted value.
Precision describes the agreement among measurements made in exactly
the same way.
(d)
Random errors
result from uncontrolled variables in an experiment while
systematic
errors
are those that can be ascribed to a particular cause and can usually be determined.
6-4
The standard error of a mean,
s
m
,
is the standard deviation of the set of data,
s,
divided by
the square root of the number of data in the set, i.e.
N
s
s
m
/
=
.
The standard error of
the mean is nearly always lower than the standard deviation of the data points in a set
because
N
always has a value greater than 1.
6-7 data set A
Listing the data from Set A in order of increasing value:
x
i
x
i
2
2.5
6.25
3.1
9.61
3.1
9.61
3.3
10.89
3.5
12.25

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x
i
= 15.5
Σ
x
i
2
= 48.61
(a)
mean:
x
= 15.5/5 = 3.1
(b)
median = 3.1
(c)
spread:
w
= 3.5 – 2.5 = 1.0
(d)
standard deviation:
()
37
.
0
1
5
5
/
5
.
15
61
.
48
2
=
−
−
=
s
≅
0.4
(e)
coefficient of variation: CV = (0.37/3.1)
×
100% = 12%
6-9 (b)
( )
089
.
0
08
.
0
0001
.
0
04
.
0

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