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#### Definition Of Median: Explain With Example

Referencing Styles : MLA | Pages : 1

Median is the simple measurement of the central tendency. For finding the median, the numbers need to be arranged in the ascending order or from small number to large number of value in the observation. If there is any odd number of series in the observation, the median will be the middle value of the observation of the number series. If there is any even number in the series of observation, the median will be the average number of the two middle numbers. Median is a middle value of an observation of the number series.

If there is a pair of middle number of values, the median will be the mean of the middle two numbers. There is a pair of middle values, when the number is in even series. Median is the number, which separate the lower numbers from the higher numbers of the number series.

For a number series, it may be taken as the middle number of the series. For example, the number set is {2, 4, 4, 5, 6, 8, 9}, the median will be 5. It is the fourth largest number and the fourth smallest number as well. In the continuous probability distribution, the number of the median is likely to fall below the median or above the median. In the probability and the statistics theory, median is the common measurement properties in the data set. The initial advantage of median is that small proportion does not skew the data of any large or small value. Therefore, it will provide better idea regarding a typical value. In the case of statistics, household incomes or assets may be skewed by the low value or the highest value of the data set. Median income will be a better way to propose the typical income. Because of the median income, the median number of the importance of central median is in the robust statistics. It is highly resistant statistic theory. It can have a breakdown point of near about 50 percentages. The median number will not provide any arbitrary small or large number as a result, as long as he data are contaminated than half.

Here is a set of number:

13, 24, 7, 45, 4, 40, 18
The mean will be 4, 7, 13, 18, 24, 40, 45
The median of this data series will be 18.
The median number for the data series 3, 5, 8, 10, 4 is 5. 3, 4, 5, 8, 10 is the ascending order of the number series and the middle number of the series is 5.
For one more example, if the number series is in even number such as 32, 29, 41, 21, 17, 31.
After arranging the series, the series will be 17, 21, 29, 31, 32, 41. As there are two middle numbers, the median will be (29+31)/2 = 60/2 = 30.
Therefore, the median of this type of even series will be the average number of the two middle numbers.
Hence, 30 will be the median value of the series 32, 29, 41, 21, 17, 31.

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