Introduction of Averages: Mean, Mode and Median
Introduction of Averages: Mean, Mode and Median
We use the term ‘average’ frequently in our everyday contexts. In this chapter we are going to explore the different type of averages in mathematics. There are mainly three types of averages: Mean, Mode and Median.
Example | ||
|---|---|---|
Mean | The mean, \(\bar{x}\), is the sum of data (values) divided by the amount of data. | Find the mean of the following set of data. \({12 \qquad 7 \qquad 5 \qquad 3 \qquad 5 \qquad 7 \qquad 5}\) |
Median | Arrange the values in order. For an odd number of values, the median is the middle value; for an even number, it is the mean of the two middle values. | Find the median of the following set of data. \({12 \qquad 7 \qquad 5 \qquad 3 \qquad 5 \qquad 7 \qquad 5}\) |
Mode | A mode is a value with the greatest frequency. There may be more than one mode; if every value occurs once, the usual school convention is that there is no mode. | Find the mode of the following set of data. \({12 \qquad 7 \qquad 5 \qquad 3 \qquad 5 \qquad 7 \qquad 5}\) |
The most commonly way of calculating an average is the ‘mean’. In mathematics, the term ‘average’ also usually refers to the ‘mean’ especially when there is no other information given.
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