There are three parameters by which we can measure central tendency Mean, mode and Median. With the help of all these three we can measure the central tendency for a given data. Mean is the simplest method to find the central tendency. Mean is generally used to find the central tendency of a continuous data, while median is used to find the central tendency of skewed data. While Mode is used to find the central tendency of the data which have closer values as we know that we can find the central tendency with all three parameters so we will take an example where we will calculate central tendency with help of these three.
Example: Find the central tendency of the data given below
6, 5, 4, 2, 4, 5, 5, 5, 8?
Solution: First we will need to calculate the mean, we can calculate the mean by adding all the term then dividing it by number of terms,
So by mean central tendency of the data is 4.88.
We will calculate the central tendency by median.
First we will arrange the data in ascending order, we get,
2, 4, 4, 5, 5, 5, 5, 6, 8.
As there are 9 terms so hence 9 is odd so we will apply the formula as
5th term is 5 so median is 5.
Now we will calculate the mode of the given series,
Mode is the most repetitive term in the series,
Here ‘5’ is the most repetitive term so mode will be ‘5’.
So as you can see that there is difference in central tendency by mean, mode and median.