Uploaded by jisunjeongwork

Measurement Inaccuracy & Error Range

advertisement
What is the measurement of this yellow line?
Are any of the digits of its measurement know with
absolute certainty?
Are any of digits of its measurement a total guess?
0
1
2
3
4
In Colorado, tree line is 12,114 ft.
12,100 ± 500 ft.
Clifton Bluhm
Zebulon Pike: 18,581 ft.
Stephen Long: 11,507.5 ft.
It’s really 14,115 ft
Zebulon Pike
(1779-1813)
Stephen Long
(1784-1864),
http://www.pikespeakcam.com/images/submitted/DSC00405%20Pikes%20Peak%20from%20Garden%20of%20the%20Gods%20June%2005.JPG
http://www.worldbook.com/features/explorers/html/saga_oae.html#StephenHarrimanLong
Would you TRUST this person?
This pencil is
5.384678 inches long!
0
1
2
3
http://web.ics.purdue.edu/~pmorici/image/pencilWeb/
44
5
6
This pencil is
5 inches long!
0
1
2
3
http://web.ics.purdue.edu/~pmorici/image/pencilWeb/
44
5
6
The TRUTH lies
somewhere between
5 and 5.384678 inches
0
You
must
be
44
5
1
2
3
TOTALLY TRUTHFUL
in your measurements.
http://web.ics.purdue.edu/~pmorici/image/pencilWeb/
6
0.7 ± .1
1
0
0.67 ± .01
1
0
0.675 ± .001
0
1
2.78 ± .02
Measurement is between 2.76 and 2.80.
0
1
2
3
4
Zebulon Pike first thought
this mountain was 18,581 ft
18,000 ± 4,000
Zebulon Pike
(1779-1813)
9
10
11
12
13
14
15 16
17 18
19
20
21 22
Stephen Long first thought
this mountain was 11,507.5 ft
12,000 ± 3,000
It’s really 14,115 ft
Stephen Long
(1784-1864),
http://www.pikespeakcam.com/images/submitted/DSC00405%20Pikes%20Peak%20from%20Garden%20of%20the%20Gods%20June%2005.JPG
http://www.worldbook.com/features/explorers/html/saga_oae.html#StephenHarrimanLong
1.12 ± .02
Measurement is between 1.10 and 1.14.
0
1
2
3
4
2.00 ± .02
Measurement is between 1.98 and 2.02.
0
1
2
3
4
0.04 ± .02
Measurement is between 0.02 and 0.06.
0
1
2
3
4
1 0.3 ± .1
Measurement is between 10.2 and 10.4
0
Smaller Ruler
1
2
3
44
3.40 ± .05
Measurement is between 3.35 and 3.45.
0
1
2
3
4
3.30 ± .02
Measurement is between 3.28 and 3.32.
0
1
2
3
4
1.2 ± .1
0
1
2
3
4
145 ± 1
290 ± 2
2.52 ± .03
Measurement is between 2.49 and 2.55
0
1
2
3
4
2¾
2.75
2.7 ± .1
Measurement is between 2.6 and 2.8.
0
1
2
3
4
1.1 ± .1
Measurement is between 1.0 and 1.2.
0
1
2
3
4
3.0 ± .1
Measurement is between 2.9 and 3.1.
0
1
2
3
4
0.93 ± .02
3.11 ± .02
0.91 to 0.95
3.09 to 3.13
Shortest Possible Length = 3.09 – 0.95 = 2.14
Longest Possible Length = 3.13 – 0.91 = 2.22
0
1
2
3
Measurement is between 2.14 and 2.22.
2.18 ± .04
4
Download