The following table shows the numer of patients admitted in a hospital with different age groups.
Question : What is the average age for which maximum cases occurred ?
My approach : We can see that maximum cases occurred between the age group of 35-45
Now how to proceed further, please help.
Thanks
Since we have to find maximum cases, we need to find mode. For grouped data, $$Mode=l+\left({{f_1-f_0}\over {2f_1-f_0-f_2}} \right)\times h$$ Where
$l=$Lower interval of modal class
$f_1=$Frequency of modal class
$f_0=$Frequency of class preceding modal class
$f_2=$Frequency of class succeeding modal class
$h=$Class size
Here, modal class is $35-45$, so
$l=35$
$f_1=23$
$f_0=21$
$f_2=14$
$h=10$
Putting these values into the formula, we get $$Mode=36.81$$