### Mathematics Class X

Real Numbers
Polynomials
Arithmetic Progressions
Triangles
Coordinate Geometry
Introduction to Trigonometry
Circles
Constructions
Areas Related to Circles
Surface Areas and Volumes
Statistics
Probability

# Mode of Grouped Data

In the ungrouped data the most frequently occurring no. is the mode of the sequence, but in the grouped data we can find the class interval only which has the maximum frequency number i.e. the modal class.

The value of mode in that modal class is calculated by

Mode l = lower class limit of the modal class

h = class interval size

f1 = frequency of the modal class

f0 = frequency of the preceding class

f2 = frequency of the succeeding class

Example

The table of the marks of the students of a class is given. Find the modal class and the mode.

Solution

Here we can see that the class interval with the highest frequency 8 is 20 – 40.

So this is our modal class.

Modal class = 20 – 40

Lower limit of modal class (l) = 20

Class interval size (h) = 20

Frequency of the modal class(f1) = 8

Frequency of the preceding class(f0) = 4

Frequency of the succeeding class (f2) = 6

Mode    Scroll to Top