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Difference between revisions of "Mean Average"

(Calculating 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
 
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 = 11.875</math>
 
In science the answer should be rounded to the same number of [[Significant Figures|significant figures]] as the original numbers.
 
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>
+
 
 +
<math>Average = 11.9</math>
  
 
===Examples===
 
===Examples===

Revision as of 13:23, 7 June 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.