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# Averages

An average of statistical data is the value which is representative of the entire data. An average represents the entire data, its value lies somewhere in between two extremes. For this reason, statistics average is called Measure of Central Tendency. Now we discuss how we calculate statistical average:
There are following methods we use to calculate statistical average -
Raw method: If we have n quantities x1, x2, x3, x4,............................xn, then Mean or average of n quantities is
Mean = (x1+ x2 + x3 + x4+..........................+xn)/n
Direct method: if data are distributed frequency wise, then mean or average is
Mean = (f1x1 + f2x2 + f3x3 + …...........fnxn)/∑fi = ∑f1xi / ∑fi
Where x stands for the variable, fi stands for the frequency of xi and ∑fi stands for the total frequencies.
Mean by short-cut method: The formula of short-cut method is -
Mean = a + ∑fidi/∑fi = xi  a
Where a is the assumed mean.
Mean by step-deviation method: The formula of step-deviation method is -
Mean = a + ∑fi ui/∑fi * h
Where a stands for assumed mean and ui = (xi  a)/h, here h stands for class-width
These are methods for calculating the average Statistics.

## Mean

The mean of any number of values is the sum of the values divided by the number of values. Suppose we have a Set of a1, a2, a3…………an then the mean Statistics of the given number set will be (a1 + a2 + a3 +………… + an) / n. this is also known as Arithmetic Mean(K).
We have several types of statistics mean or Averages for several types of data Sets.
Arithmetic mean (AM):
It is also...Read More

## Mid-range

We say that mid-range in Statistics is the midway Point between the minimum and the maximum in a Set of data. It is calculated as: midrange = (maximum + minimum) / 2.
For any set of numerical data, we say that the mid range in statistics of the given data is the Arithmetic. Mid-range is the mid – extreme of the set of statistical data values. It is the arithmetical Mean of th...Read More

## Median

In mathematics or Statistics, median is defined as the value separating the data Set or the Probability distribution into two halves, lower half and upper half. The median in statistics can be determined by placing all the Numbers in increasing order and picking up the middle value. If the number of values are even than the median is defined by the arithmetic Mean of the two midd...Read More

## Mode

While studying Statistics Mean, median and mode are the Basic Terms used in the statistics sampling of data. Mean is used to find the Average of the given data, Median is used to find the  mid value of the given data and mode in statistics is used to find the value of the most occurring value in the given data.
Literal meaning of mode statistics is the most occurring value, which ...Read More