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Difference between revisions of "Precise"

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Method 3: Each [[measurement]] is not [[accurate]] because they are far from [[pi]], they are also the least [[precise]] because they have a range of 0.68. However, the [[Mean Average|average]] is the most [[accurate]] as it is the closes to [[pi]].
 
Method 3: Each [[measurement]] is not [[accurate]] because they are far from [[pi]], they are also the least [[precise]] because they have a range of 0.68. However, the [[Mean Average|average]] is the most [[accurate]] as it is the closes to [[pi]].
 
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Revision as of 17:03, 20 April 2019

Key Stage 4

Meaning

Results are precise if the same reading or measurement repeatedly gives a similar value.

About Precision

The smaller the range and uncertainty the greater the precision.
Precision is achieved by controlling variables so that readings are stable over a long period of time.
A single reading may be more precise if the resolution of the measuring instrument is higher. This is due to the upper and lower bounds of a single number being smaller when the number has a greater resolution. A ruler that measures to the nearest 1cm has an uncertainty of ±5mm for each reading. A ruler that measures to the nearest 1mm has an uncertainty of ±0.5mm, making a single reading more precise.

Accuracy vs Precision

Experimental Measurements of pi
Method Test 1 Test 2 Test 3 Average Range
Method 1 3.27 3.09 3.01 3.12 0.26
Method 2 3.91 3.88 3.88 3.89 0.03
Method 3 3.57 2.89 2.93 3.13 0.68
The number pi is 3.14159265359 correct to 12 significant figures.

Method 1: The most accurate measurements because they are the closest to pi but they are not very precise because they have a range of 0.26.

Method 2: These are the least accurate measurements because they are the furthest from pi but they are very precise because they have a range of only 0.03.

Method 3: Each measurement is not accurate because they are far from pi, they are also the least precise because they have a range of 0.68. However, the average is the most accurate as it is the closes to pi.