| Measures of Central Tendency |
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| Saturday, 09 August 2008 13:49 | |||||||
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According to Professor Bowley, averages are “statistical constants which enable us to comprehend in a single effort the significance of the whole.” They give us an idea about the concentration of the values in the central part of the distribution. Plainly speaking, an average of a statistical series is the value of the variable which is representative of the centric distribution. The following are three measures of central tendency that are in common use:
i) Arithmetic Mean or simply Mean,
ii) Median, and
iii) Mode
Requisites for an Ideal Measure of Central Tendency
1 x = ------- (x1 + x2 + x3 +………, + xn) n Arithmetic mean from raw data
Arithmetic mean from grouped data
Arithmetic mean of a number of means (Weighted mean)
Median: Median of a distribution is the value of the variable which divides it into two equal parts. It is a positional average.
Median of a distribution with even number of observations
Median of a distribution with odd number of observations
Mode: Mode is the value which occurs most frequently in a set of observations and around which the other items of the set cluster densely. A distribution can have more than one mode. If there are two modes we can say it as bi-modal distribution.
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