Question

3 Find the mode of the given data. Marks 0-10 10-20 20-30 30-40 Frequency 20 20 24 40 36​

Answer 1

$\bf\huge{Solution}$

$\large\text \pink{We know that :}$

$\sf{Mode \: =l + (\frac{f1 - f0}{2f1 - f0 - f2}) \times h }$

$\large\text\red{Where}$

• l = lower limit of the modal class

• h = size of the class interval

• f1 = frequency of the modal class

• f 0 = frequency of the class preceding the modal class

• f2 = frequency of the class succeeding the modal class

$\large\text \pink{Explanation}$

• Let us Solve the above example to understand this clearly.

• Let us learn here how to find the mode of a given data with the help of examples.

Mode of Grouped Data -

Example :

• Find the mode of the given data. Marks 0-10 ,10-20 ,20-30, 30-40 Frequency 20 ,24 40, 36?

Solution:

• The maximum class frequency is 40 and the class interval corresponding to this frequency is 20 – 30. Thus, the modal class is 20 – 30

Lower limit of the modal class (l) = 20

Size of the class interval (h) = 10

Frequency of the modal class (f1) = 40

Frequency of the class preceding the modal class (f0) = 24

Frequency of the class succeeding the modal class (f2)= 36

ANSWER :

$\sf{ =20 + ( \frac{40 - 24}{80 - 24 - 36} ) \times 10}$

$\sf{ = 20 + \frac{16}{2} }$

$\sf{ = 20 + 8}$

$\huge \boxed{ = > 28}$

$\bf\huge{Thanks}$