About Central Tendency Formula
Let us first define central tendency before studying the central tendency formula. A measure of central tendency identifies the centre position in a data set as a single value in order to characterise it. It's best described as a tendency for data to cluster around a middle value. In the next section, we'll go through the central tendency formulas.
What Is the Central TendencyFormula?
The three most prevalent measures of central trends in statistics are mean, median, and mode. For each of them, here are the central tendency formulas.
Formula to Calculate Mean
Mean = Sum of Observations / Total Numberof Observations
Formula to Calculate Median
The Median Formula of a given set of numbers, say having 'n' observations,can beexpressed as:
If 'n' is odd:
Median = (n + 1)/2thterm
If 'n' is even:
Median =n/2th term+(n/2+1)th term / 2
Formula to Calculate Mode
Mode for grouped data is found using the following formula.
Mode=L+h (fm−f1) / (fm−f1)−(fm−f2)
Where,
- 'LL' the lower limit of the modal class
- 'hh' the size of the class interval
- 'fm' the frequency of the modal class
- 'f1' the frequency of the class preceding the modal class
- 'f2' the frequency of the class succeeding the modal class
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