Open main menu

Difference between revisions of "Mean Average"

(Created page with "==Key Stage 3== ===Meaning=== A '''mean average''' is when you add up all the numbers and divide by the number of numbers. ===About a Mean Average=== : A '''mean average''' i...")
 
 
(8 intermediate revisions by 2 users not shown)
Line 1: Line 1:
 
==Key Stage 3==
 
==Key Stage 3==
 
===Meaning===
 
===Meaning===
A '''mean average''' is when you add up all the numbers and divide by the number of numbers.
+
A '''mean average''' is when you add up a set of numbers and divide by how many of numbers were added.
  
 
===About a Mean Average===
 
===About a Mean Average===
Line 8: Line 8:
 
===Calculating a Mean Average===
 
===Calculating a Mean Average===
 
Results: 5,3
 
Results: 5,3
: <math>Average = \tfrac{5+3}{2}</math>
+
 
: <math>Average = 4</math>
+
<math>Average = \tfrac{5+3}{2}</math>
 +
 
 +
<math>Average = 4</math>
 +
 
 +
Results: 7.0, 6.8, 7.8
 +
 
 +
<math>Average = \tfrac{7.0+6.8+7.8}{3}</math>
 +
 
 +
<math>Average = 7.1</math>
 +
 
 +
Results: 12.3, 11.7, 11.4, 12.1
 +
 
 +
<math>Average = \tfrac{12.3+11.7+11.4+12.1}{4}</math>
 +
 
 +
<math>Average = 11.875</math>
 +
In science the answer should be rounded to the same number of [[Significant Figures|significant figures]] as the original numbers.
 +
 
 +
<math>Average = 11.9</math>
 +
 
 +
===Examples===
 +
{| class="wikitable"
 +
|-
 +
|[[File:ResultsTableCalculation.png|center|400px]]
 +
| style="height:20px; width:200px; text-align:center;" |The [[Mean Average|average]] for each set of [[results]] can be calculated by adding a row together and dividing by the number of [[results]] in that row.
 +
|}
 +
 
 +
==Key Stage 4==
 +
===Meaning===
 +
A '''mean average''' is when you add up a set of numbers and divide by how many of numbers were added.
 +
 
 +
===About a Mean Average===
 +
: A '''mean average''' is used in science to reduce the effects of [[Random Error|random errors]] in the [[results]] of an [[experiment]].
 +
 
 +
===Calculating a Mean Average===
 +
Results: 5,3
 +
 
 +
<math>Average = \tfrac{5+3}{2}</math>
 +
 
 +
<math>Average = 4</math>
  
 
Results: 7.0, 6.8, 7.8
 
Results: 7.0, 6.8, 7.8
: <math>Average = \tfrac{7.0+6.8+7.8}{3}</math>
+
 
: <math>Average = 7.1</math>
+
<math>Average = \tfrac{7.0+6.8+7.8}{3}</math>
 +
 
 +
<math>Average = 7.1</math>
  
 
Results: 12.3, 11.7, 11.4, 12.1
 
Results: 12.3, 11.7, 11.4, 12.1
: <math>Average = \tfrac{12.3+11.7+11.4+12.1}{4}</math>
+
 
: <math>Average = 11.875</math>
+
<math>Average = \tfrac{12.3+11.7+11.4+12.1}{4}</math>
: <math>Average = 11.9</math>
+
 
 +
<math>Average = 11.875</math>
 +
In science the answer should be rounded to the same number of [[Significant Figures|significant figures]] as the original numbers.
 +
 
 +
<math>Average = 11.9</math>
 +
 
 +
===Examples===
 +
{| class="wikitable"
 +
|-
 +
|[[File:ResultsTableCalculation.png|center|400px]]
 +
| style="height:20px; width:200px; text-align:center;" |The [[Mean Average|average]] for each set of [[results]] can be calculated by adding a row together and dividing by the number of [[results]] in that row.
 +
|}
 +
 
 +
===References===
 +
====AQA====
 +
:[https://www.amazon.co.uk/gp/product/1782945962/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782945962&linkCode=as2&tag=nrjc-21&linkId=476bb5c8d1dfb5c08ac81b6d4d1c98d8 ''Averages (means), page 14, GCSE Chemistry, CGP, AQA '']
 +
:[https://www.amazon.co.uk/gp/product/178294639X/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=178294639X&linkCode=as2&tag=nrjc-21&linkId=51599bb45a2bfaf7c1b6a978b2ca2616 ''Averages (means), page 14, GCSE Combined Science Trilogy; Chemistry, CGP, AQA '']
 +
:[https://www.amazon.co.uk/gp/product/1782945571/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782945571&linkCode=as2&tag=nrjc-21&linkId=9e29fad914244909903e5e93f8a01d50 ''Averages (means), page 7, GCSE Chemistry; The Revision Guide, CGP, AQA '']
 +
:[https://www.amazon.co.uk/gp/product/1782946403/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782946403&linkCode=as2&tag=nrjc-21&linkId=32a0abb60dff015b15b50e9b1d7b4644 ''Averages, page 13, GCSE Combined Science Trilogy; Physics, CGP, AQA '']
 +
:[https://www.amazon.co.uk/gp/product/1782945970/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782945970&linkCode=as2&tag=nrjc-21&linkId=a120d24dcc7cc7a58192069a3aafc1d2 ''Averages, page 14, GCSE Physics; The Complete 9-1 Course for AQA, CGP, AQA '']
 +
:[https://www.amazon.co.uk/gp/product/178294558X/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=178294558X&linkCode=as2&tag=nrjc-21&linkId=f0dfb66dafcb0c6e9449e7b1a4ae1ac27 ''Averages, page 6, GCSE Physics; The Revision Guide, CGP, AQA '']
 +
:[https://www.amazon.co.uk/gp/product/019835939X/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=019835939X&linkCode=as2&tag=nrjc-21&linkId=57e96876985fc39b1a3d8a3e3dc238b6 ''Averages, pages 260, 262, 281, GCSE Physics; Third Edition, Oxford University Press, AQA '']
 +
:[https://www.amazon.co.uk/gp/product/0198359373/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=0198359373&linkCode=as2&tag=nrjc-21&linkId=952a73bbb09d222ecc4b50d200679849 ''Averages, pages 262-263, GCSE Biology; Third Edition, Oxford University Press, AQA '']
 +
====Edexcel====
 +
:[https://www.amazon.co.uk/gp/product/1782948147/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782948147&linkCode=as2&tag=nrjc-21&linkId=f63dcd8345f4e49c717b39a228a36c7c ''Averages (means), page 14, GCSE Chemistry, CGP, Edexcel  '']
 +
:[https://www.amazon.co.uk/gp/product/1782948163/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782948163&linkCode=as2&tag=nrjc-21&linkId=0fdbfd5dd397d6e24a9dfb250f08587f ''Averages, page 14, GCSE Physics, CGP, Edexcel '']
 +
:[https://www.amazon.co.uk/gp/product/1782945741/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782945741&linkCode=as2&tag=nrjc-21&linkId=30da4f2178da182547b62a7329d13b57 ''Averages, page 6, GCSE Combined Science; The Revision Guide, CGP, Edexcel '']
 +
:[https://www.amazon.co.uk/gp/product/1782946748/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782946748&linkCode=as2&tag=nrjc-21&linkId=a4f0348fc37d0ba1bb52d27f8679581f ''Averages, page 7, GCSE Biology; The Revision Guide, CGP, Edexcel '']
 +
:[https://www.amazon.co.uk/gp/product/1782945725/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782945725&linkCode=as2&tag=nrjc-21&linkId=694be7494de75af3349537d34e13f7f0 ''Averages, page 7, GCSE Chemistry; The Revision Guide, CGP, Edexcel '']
 +
:[https://www.amazon.co.uk/gp/product/1782945733/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782945733&linkCode=as2&tag=nrjc-21&linkId=2a2dbec9db6bf5766c0458d908fa0a52 ''Averages, page 7, GCSE Physics; The Revision Guide, CGP, Edexcel '']
 +
:[https://www.amazon.co.uk/gp/product/1782945563/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782945563&linkCode=as2&tag=nrjc-21&linkId=9a1d023a374038e6072f33c4f3cf808b ''Mean (average), page 6, GCSE Biology; The Revision Guide, CGP, AQA '']
 +
:[https://www.amazon.co.uk/gp/product/1782945563/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782945563&linkCode=as2&tag=nrjc-21&linkId=9a1d023a374038e6072f33c4f3cf808b ''Mean (average), page 6, GCSE Biology; The Revision Guide, CGP, AQA '']
 +
:[https://www.amazon.co.uk/gp/product/1782945598/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782945598&linkCode=as2&tag=nrjc-21&linkId=ad276ad49df77ab4b40ab4fd0fe10061 ''Mean (average), page 6, GCSE Combined Science; The Revision Guide, CGP, AQA '']
 +
:[https://www.amazon.co.uk/gp/product/1782948120/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782948120&linkCode=as2&tag=nrjc-21&linkId=dedef775c6a43dbb0a609441525adac0 ''Mean (average), page 14, GCSE Biology, CGP, Edexcel '']
 +
:[https://www.amazon.co.uk/gp/product/1782945741/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782945741&linkCode=as2&tag=nrjc-21&linkId=30da4f2178da182547b62a7329d13b57 ''Mean (average), page 6, GCSE Combined Science; The Revision Guide, CGP, Edexcel '']
 +
:[https://www.amazon.co.uk/gp/product/1782946748/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782946748&linkCode=as2&tag=nrjc-21&linkId=a4f0348fc37d0ba1bb52d27f8679581f ''Mean (average), page 7, GCSE Biology; The Revision Guide, CGP, Edexcel '']

Latest revision as of 16:53, 22 November 2019

Key Stage 3

Meaning

A mean average is when you add up a set of numbers and divide by how many of numbers were added.

About a Mean Average

A mean average is used in science to reduce the effects of random errors in the results of an experiment.

Calculating a Mean Average

Results: 5,3

\(Average = \tfrac{5+3}{2}\)

\(Average = 4\)

Results: 7.0, 6.8, 7.8

\(Average = \tfrac{7.0+6.8+7.8}{3}\)

\(Average = 7.1\)

Results: 12.3, 11.7, 11.4, 12.1

\(Average = \tfrac{12.3+11.7+11.4+12.1}{4}\)

\(Average = 11.875\) In science the answer should be rounded to the same number of significant figures as the original numbers.

\(Average = 11.9\)

Examples

ResultsTableCalculation.png
The average for each set of results can be calculated by adding a row together and dividing by the number of results in that row.

Key Stage 4

Meaning

A mean average is when you add up a set of numbers and divide by how many of numbers were added.

About a Mean Average

A mean average is used in science to reduce the effects of random errors in the results of an experiment.

Calculating a Mean Average

Results: 5,3

\(Average = \tfrac{5+3}{2}\)

\(Average = 4\)

Results: 7.0, 6.8, 7.8

\(Average = \tfrac{7.0+6.8+7.8}{3}\)

\(Average = 7.1\)

Results: 12.3, 11.7, 11.4, 12.1

\(Average = \tfrac{12.3+11.7+11.4+12.1}{4}\)

\(Average = 11.875\) In science the answer should be rounded to the same number of significant figures as the original numbers.

\(Average = 11.9\)

Examples

ResultsTableCalculation.png
The average for each set of results can be calculated by adding a row together and dividing by the number of results in that row.

References

AQA

Averages (means), page 14, GCSE Chemistry, CGP, AQA
Averages (means), page 14, GCSE Combined Science Trilogy; Chemistry, CGP, AQA
Averages (means), page 7, GCSE Chemistry; The Revision Guide, CGP, AQA
Averages, page 13, GCSE Combined Science Trilogy; Physics, CGP, AQA
Averages, page 14, GCSE Physics; The Complete 9-1 Course for AQA, CGP, AQA
Averages, page 6, GCSE Physics; The Revision Guide, CGP, AQA
Averages, pages 260, 262, 281, GCSE Physics; Third Edition, Oxford University Press, AQA
Averages, pages 262-263, GCSE Biology; Third Edition, Oxford University Press, AQA

Edexcel

Averages (means), page 14, GCSE Chemistry, CGP, Edexcel
Averages, page 14, GCSE Physics, CGP, Edexcel
Averages, page 6, GCSE Combined Science; The Revision Guide, CGP, Edexcel
Averages, page 7, GCSE Biology; The Revision Guide, CGP, Edexcel
Averages, page 7, GCSE Chemistry; The Revision Guide, CGP, Edexcel
Averages, page 7, GCSE Physics; The Revision Guide, CGP, Edexcel
Mean (average), page 6, GCSE Biology; The Revision Guide, CGP, AQA
Mean (average), page 6, GCSE Biology; The Revision Guide, CGP, AQA
Mean (average), page 6, GCSE Combined Science; The Revision Guide, CGP, AQA
Mean (average), page 14, GCSE Biology, CGP, Edexcel
Mean (average), page 6, GCSE Combined Science; The Revision Guide, CGP, Edexcel
Mean (average), page 7, GCSE Biology; The Revision Guide, CGP, Edexcel