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| − | '''Average''' is a term in mathematics used to measure the 'central tendency' or 'expected value' of a data set; in conversational terms, it would be expected to be a value somewhere in the middle of the data. | + | '''Average''' is the sum of a group of numbers divided by the number of numbers it the group. For example, the average of 3, 5, and 7 is <math>15 \div 3=5</math>. |
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| − | There are various [[descriptive statistics]] that can be chosen as a measurement of the this central tendency, such as the [[mode]], the [[median]] and the [[mean]], this latter coming in a variety of forms: [[harmonic mean]], [[geometric mean]] and '''arithmetic mean'''. The '''arithmetic mean''' is the most common type of mean, and it is the one that most people would generally take as the '''average'''.
| + | Another term for average is the [[mean]]. |
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| − | Thus one way of defining the '''average''' of a set of data would be:
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| − | * the sum of all the values divided by the number of items in the data set.
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| − | Please see the table of mathematical symbols for explanations of the symbols used.
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| − | ==Example of calculation==
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| − | To calculate the average of 3, 5, and 7
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| − | The total of the data is ,math> 3 + 5 + 7 = 15 </math>
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| − | There are 3 items in the data set.
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| − | So the '''average''' is <math>15 \div 3=5</math>.
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