Question

The data regarding marks obtained by 48 students of a class in class test is given below calculate the modal marks of the student

Answer 1

Answer:

Mode = 32.27

Step-by-step explanation:

Maximum frequency is 25 and the class corresponding to it is 30-35.

So, 30-35 is the modal class.

The formula to calculate the Mode is :

Mode = $l + \frac{f_{1}-f_{0} }{2f_{1}-f_{0}-f_{2} } (h)$

where

l - lower limit of the modal class

$f_{1}$ - frequency of the modal class

$f_{0}$ - frequency of the class preceding the modal class

$f_{2}$ - frequency of the class succeeding the modal class

h - size of the class interval

So,

Mode = $30 + \frac{25-10}{50-10-7}(5)$

$= 30 + \frac{15}{33} (5)$

= 30 + 0.454545...(5)

= 32.272727...

= 32.27

Hence, mode = 32.27.

Answer 2

Answer:

Mode 32.27

Step-by-step explanation:

highest frequency 25

modal class 30-35

f⁰=10

f¹=25

f²=7

l=30

h=5

mode=

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

= 30+(25-10/2(25)-10-7)*5

=32.27