### Theory:

To represent the data in particular order, we use the arithmetic mean and median. The mode is also another type to represent data in a certain manner.

In this chapter, we will look into the mode and how we are using the same.

Mode is the value which appears most in the given set of data. It can be used as representative values in the organization of data.

Now we see an example that helps us how to identify the modes.

Consider the below-given data shows that \(10\) students scored marks in science subjects in an exam.

Consider the below-given data shows that \(10\) students scored marks in science subjects in an exam.

Student number | \(1\) | \(2\) | \(3\) | \(4\) | \(5\) | \(6\) | \(7\) | \(8\) | \(9\) | \(10\) |

Marks in science subject | 52 | 75 | 83 | 52 | 83 | 75 | 83 | 83 | 75 | 52 |

From the above table, we observe that,

The number of students scored 52 marks in science \(= 3\).

The number of students scored 75 marks in science \(= 3\).

The number of students scored 83 marks in science \(= 4\).

Now we can see that the student's scored 83 mark in science subject occurs a higher number of times than the other values. That is the mark 83 has a maximum frequency than any other number in this data.

So this sort of mark or number or value which occurs a higher number of times than other values is called the mode of the given data.

Steps to find out the mode:

- Take a careful look at the given set of data.
- And arrange the data in ascending or descending order.
- Then find out the value which comes most higher than the other data.

[

**Note:**Arranging the data in ascending or descending is not necessary. This step is used only to avoid missing the given data.]Bimodal data:

If the given set of data consist of two modes, then the name of the mode is called bimodal data.

If the given set of data consist of two modes, then the name of the mode is called bimodal data.

For example:

10, 5, 34, 10, 5

From the above data, it is given that the value 10 and 5 have a higher frequency than the other number. So these two data is called as bimodal data.

Now in this chapter, we are going to see a few problems to understand this concept better.