# Merits and demerits of measures of central tendency pdf

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## Merits of Median and Demerits

Statistics have always been a topic of mystery for a lot of individuals, while others have there own bright ideas when it comes to the use of this science. As we know, the most common statistical parameters are easy to understand and decipher, though there are some nuances that we need to keep in mind while using these parameters. In this article, we will try to understand those nuances and their unknowns by exploring their limitations. It gives more weight to extreme items and less to those which are near the mean. It is because of this fact that the squares of the deviations, which are big in size, would be proportionately greater than the squares of those deviations, which are comparatively small.

In statistics , a central tendency or measure of central tendency is a central or typical value for a probability distribution. Colloquially, measures of central tendency are often called averages. The term central tendency dates from the late s. The most common measures of central tendency are the arithmetic mean , the median , and the mode. A middle tendency can be calculated for either a finite set of values or for a theoretical distribution, such as the normal distribution. Occasionally authors use central tendency to denote "the tendency of quantitative data to cluster around some central value.

Published on July 30, by Pritha Bhandari. Revised on October 26, Measures of central tendency help you find the middle, or the average, of a data set. The 3 most common measures of central tendency are the mode, median, and mean. In addition to central tendency, the variability and distribution of your data set is important to understand when performing descriptive statistics. Table of contents Distributions and central tendency Mode Median Mean When should you use the mean, median or mode?

## Statistics

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### Merits of Median and Demerits

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Apart from the mean, median and mode are the two commonly used measures of central tendency. The median is sometimes referred to as a measure of location as it tells us where the data are. It divides the frequency distribution exactly into two halves.

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