value in the measure of central tendency

As described by National Institute of Health, (2011), the mode, the median, and the mean are described to be the three measures of Central Tendency, or measures of center, or central location. Measure of central tendency aims to summarizes attempts to describing data as whole set, describing a single represented value of the middle, or its distribution. The characteristics of a population for which use of the mode, the median, and the mean is appropriate would be a retirement age population.

Mode is the most recurring value in the distribution. For example, a retiring group of 13 people with their ages ranges as follows; 58, 58,59,56,57,58, 57, 56, 56, 56, 56,56, 59 then the mode of this population distribution is 56, which is the most recurring number.

Median is the value appearing in the middle of the distribution in an ascending or descending order. With the same example of a retirement age population, the number in the middle of distribution is the median number, and in this case the number is 57. This is the most preferred value in the measure of central tendency when data is asymmetrical.

Mean is the average of the whole data set. This is a calculation of all values added together, and divided by the number of the observed values, for example; 58+ 58+59+56+57+58+ 57+ 56+ 56+ 56 +56+56+ 59=683 which is then divided by 11 observations which equals 62.09, or 62.1 years.

The time when it is inappropriate to use the characteristics of the measure of central tendency is when calculating the staff salaries, because the mean value may be skewed by the salary of those that earn large figures.

Reference

Luard Statistics, (2013). Measures of central tendency.

` Retrieved on 03/15/21017 from https://statistics.laerd.com/statistical-guides/measures-central-tendency-mean-mode-median-faqs.php`

National Institute of Health, (2011). Measure of Central Tendency.

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