# The following dis

To find: The mean and mode of the given table.
Solution:

Mode is calculated as:

Where

l=lower limit of modal class

h=width of the modal class

f=frequency of the modal class

f1=frequency of the class preceding the modal class

f2= frequency of the class following the modal class

Since, the maximum class frequency is 10

Hence, modal class interval= 30-35

h= 5, l=30, f= 10,f1=9 and f2=3

⇒ Mode = 30 + 0.625
⇒ Mode = 30.625
Now to find mean,
Use the formula,

Where

A = assumed mean

di=xi-A

h=length of class intervals

ui= (xi-A)/h

N=sum of all frequencies

Here A = 32.5
h = 5
N = 35
So,

⇒ Mean = 32.5-3.28
⇒ Mean = 29.21

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses
RELATED QUESTIONS :

Find the moMathematics - Board Papers