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Measures of centre

The median

The median is the middle score. It can be found by putting the data points in order from lowest to highest and finding the middle data point.

  • If the number of data points is odd, then the median will be a exact value of the data.
  • For example for the data points: \(11\), \(12\), \(14\), \(15\), \(18\), the median (middle number) is \(14\).
  • It the number of data points is even, then the median will be the average of the middle two data points.
  • For example for the data points: \(55\), \(55\), \(55\), \(55\), \(62\), \(65\), \(78\), \(99\), the middle two scores are \(55\) & \(62\), so the median will be \(58.5\).
  • Used for quantitative data.