The above three are considered
the key elements in finding the solutions of various questions of statistics. Here
is the explanation of these.
What is mean?
The average of all the values or
figures present in the data is termed as the mean value. You can also say that
mean is the central value from a whole set.
How to find mean?
There is not a long procedure of
calculating the mean. You have to just add all the numbers of the group or the
set and then divide by the total numbers present in that group.
Formula of mean:
x¯¯¯=∑x/N
For example:
Find the mean
value of 3, 8, and 9.
Initially add
all the three numbers: 3+7+8=18
Divide this
value by the total values of group: 18÷3=6
Thus the
calculated mean is 6.
What is Median?
The mid most value in the whole
set of the figures is called as median. You have to rearrange the numbers from
lower to higher. If not you can also rearrange them into higher to lower then
you can easily find out the middle most value. Median can divide the whole data
into two halves.
How to find median?
If you have to find the median,
arrange the data by writing the values from smallest to largest. In other words
you have to arrange it in ascending order. After that find out that value which
has equal number of numbers on its left side as well as right side. It will be
the mid most value. But if your data has even or odd numbers then the method is
slightly different. The formulas below will clarify you.
Formula of median:
There are two types of exception
in finding the median. If the total numbers are present in an odd number then
you have to use this formula,
Median=(n+1)/2-th term
But if the
total numbers are present in an even number then the following formula will be
applicable.
Median=(n/2)th term+(n/2+1)th term/2
What is mode?
Mode is that
value that is repeated for the maximum number of times in the whole set of
data. If there are more than one values that are repeating then the mode will
be more than one. And if no value is repeating then there is no mode in that
data.
How to find
mode?
The process of
finding mode is very easy. Initially put all the figures in the ascending
order. Then count if any integer is repeated in the order. The digit that is
present in maximum number is the mode. But if the data is in grouped form then
you have to put the values in the formula below.
Formula of mode:
For grouped data:
Mode=l+fm−f1/(fm−f1)+(fm−f2)×h
For ungrouped
data:
The most frequently value
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