# Measures of Central Tendency

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```					              Measures of Central Tendency
Measures of Central Tendency

Whenever we are asked to find the midpoint of a data we will use central tendency, the
measure of central tendency definition is that it is the central point of any data or in other
words we can say when we are asked to calculate the central term of any given data we will
use central tendency. There are two types of data that is continuous data and discrete data.

With the help of central tendency we can find the mid- point of any type data whether it is
continuous or discrete. There are mainly three parameters from which we can find the central
tendency of the given data.

The three parameters are mean, mode and median. All the three parameters are used to find
the central tendency of a data, but there is a lot of difference between all these parameters.

The uses of all three parameters are different in different situations. Sometimes it happens
that one parameter will give accurate result than other.

We have to use all these parameters very wisely. Now we will discuss all the three terms in
detail and also we will discuss in which condition we will use the parameters. Firstly we will
discuss mean.

Know More About Correlation Coefficient Formula

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We can find the mean of any data by adding all the terms of data and then divide the result by
number of terms. Mean is the most commonly used parameter for the calculation of central
tendency.

But in actual when we deal with discreet data mean doesn't give accurate result. If we are
given a data like 2, 3, 4, 5, 6 and we are asked to find the mean then we have to sum up all
the terms first so result will be 20 and then divide it by number of term that is five so mean will
be 4, as it is a continuous data that is why mean gives accurate result.

Now we will move to median, median of any data is the central point of the data, whenever we
are having skewed data mean doesn't give accurate result but median gives very accurate
result, we can find the median with the help of two formulas given below,

If number of terms in data is odd then,

Median = n+1/2,

Here ‘n’ is the number of terms.

If the number of terms are even then

Median = (n/2)th + (n/2 + 1)th /2,

With the help of these two formulas we can find the median of any given data. If we are given
a data like 2, 3, 4, 5 and we are asked to find the median, here the numbers of terms are odd
so we will apply 2nd formula.

Median = (n/2)th + (n/2 + 1)th /2,

As the terms are given in ascending order so no need to change the order but if the series are
not given in ascending order then we have to change them into ascending order

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Median = (4/2th + (4/2 +1)th)/2,

Median = 2th + 3th /2,

Median = 3+2/2,

Median = 3.5,

Now we will move to mode,

When we are given the values vary nearer to each other then we have to use mode for that, in
this type of situation mode is best parameter to find the central tendency. If we are given a
data like 2, 3, 4, 5, 6, 6, 7, 8, then mode for the given data is 6 as it is the only term repeated
in the series.

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Thank You

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