Question

Find the mode of the given set of numbers:
$1,1,2,4,3,2,1,2,2,4$

Answer 1

Hint: First we define the mode then we discuss to order the given observations in a particular way to find the mode then we arrange the data in ascending order or descending order.
Then we need to write the data occurring with the number of highest frequency.
So we will get the required answer.

Complete step-by-step solution:
It is given the set of number is $1,1,2,4,3,2,1,2,2,4$
Here we have to find the mode of the given data.
Mode The mode of a variable is defined as the value which has the highest frequency.
First we need to arrange the data in ascending order or descending order to get the answer easily
By arranging the data in ascending order, we will get the data as: $1,1,1,2,2,2,2,3,4,4$
If we arrange the data in the descending order, we will get the data as: $4,4,3,2,2,2,2,1,1,1.$
Total number of observations in the data is $ = 10$
We preferably choose the ascending order
And we know the mode of the data is the observation with highest frequency that is the observation which is occurring maximum number of times.
So as we can see from the data that $2$ is occurring four times this is maximum.

Therefore the mode for the given data is $2$.

Note: We need to be careful about the data being grouped series or discrete series where discrete series.
Example for discrete series:
The class $20 - 30$ contains $6$ observations: $25,23,24,25,26$ and $27$.
So the data are grouped as a class $20 - 30$ in the frequency distribution, the latter provides only the number of records in that class (frequency $ = 6)$ but not their actual values.