Not signed in

Median in an numerical data set is the point at which there is an equal number of data points on either side of the median value, when the data has been ordered. In a data set that contains outliers median is more representative of the center of the data set than the mean is. Median is denoted by capital Latin letter "M" or Latin letter "" with a tilde over it. The steps for finding median of a data set are:[1,p.78]

  1. Order the numbers from smallest to largest.
  2. If the data set contains an odd number of elements, median is the number exactly in the middle.
  3. If the data set contains an even number of elements, median is the average of the two elements in the middle.

Unlike the mean, median is not affected by outliers, i.e. it is not affected by the values of the data points, only their location within the data set. If a statistic is not affected by a certain characteristic of data, it is said to be "resistant" to that characteristic. In this case, median is resistant to outliers.[1,p.80,114]