# Merits And Demerits Of Measures Of Central Tendency Pdf

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*Published on July 30, by Pritha Bhandari.*

- Measures of central tendency: Median and mode
- Advantages and Disadvantages of Measures of Central Tendency
- Measures of central tendency: Median and mode

## Measures of central tendency: Median and mode

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. Deviations 2 and 8 are in the ratio of , but their squares, i. MAD is mostly used to overcome the outlier effect on a sample population.

In statistics, a measure of central tendency is a single value or number that attempts to describe or represent a set of data by identifying the central position within that set of data. We are able to use a single value or number that attempts to describe or represent a set of data because most data tend to cluster around central points. For example: It would be difficult to tell how a class performed by looking at a long list of hundred scores. On the other hand, by applying the measures of central tendency — the mean, median or mode, we could get a typical or single number which would give us a better idea of the students performance. It would also help us compare this class with other classes. The average is another term for the mean — a measure of central tendency. Measures of central tendency are sometimes called measures of central location.

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## Advantages and Disadvantages of Measures of Central Tendency

Average: It is a value which is typical or representative of a set of data. Averages are also called Measures of Central Tendency. Simple to calculate. It should be easy to understand. Rigidly defined. Based on all items of observation.

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. Fifty percent of observations in a distribution have scores at or below the median. Hence median is the 50th percentile. It is easy to calculate the median.

In any research, enormous data is collected and, to describe it meaningfully, one needs to summarise the same. The bulkiness of the data can be reduced by organising it into a frequency table or histogram. These measures may also help in the comparison of data. The mean, median and mode are the three commonly used measures of central tendency. Mean is the most commonly used measure of central tendency.

## Measures of central tendency: Median and mode

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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.

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