# Merits and demerits of central tendency

Merits of mode: Merits of Mode: 1 Simple and popular: - Mode is very simple measure of central tendency. How do outliers influence the measures of central tendency?

The mode is 54 years, the modal class is years, the median is 56 years and the mean is Curabitur consequat. Limitations of the mode: The are some limitations to using the mode.

Mode is determined only by the value with highest frequencies. This happens when the data set has two or more values of equal frequency which is greater than that of any other value.

For example, multiplying the median with the number of items in the series will not give us the sum total of the values of the series.

### Merits and demerits of central tendency

Advantage of the mean: The mean can be used for both continuous and discrete numeric data. As the mean includes every value in the distribution the mean is influenced by outliers and skewed distributions. It is important to detect outliers within a distribution, because they can alter the results of the data analysis. All three measures are identical in a normal distribution [ Figure 1a ]. I the case of simple statistical series, just a glance at the data is enough to locate the median value. Limitations of the mean: The mean cannot be calculated for categorical data, as the values cannot be summed. Hence median is the 50th percentile. It is also expressed as the nth root of the product of an observation.

What is the median? MEAN Mean is the most commonly used measure of central tendency.

In a skewed distribution, the median is often a preferred measure of central tendency, as the mean is not usually in the middle of the distribution.

The research articles published in journals do not provide raw data and, in such a situation, the readers can compute the mean by calculating it from the frequency distribution if provided.

### Central tendency in data mining

What is the median? Demerits of median: Following are the various demerits of median: 1 Lack of representative character: - Median fails to be a representative measure in case of such series the different values of which are wide apart from each other. The median is the middle value in distribution when the values are arranged in ascending or descending order. Quisque metus enim, venenatis fermentum, mollis in, porta et, nibh. However, median is quite a simple method finding an average of a series. However, it has not changed the middle of the distribution, and therefore the median value is still 57 years. The median is sometimes referred to as a measure of location as it tells us where the data are. Limitations of the mode: The are some limitations to using the mode. The mean is more sensitive to the existence of outliers than the median or mode.

What is the mean? In any research, enormous data is collected and, to describe it meaningfully, one needs to summarise the same.

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