the following table shows the age distribution of cases of a certain disease admitted during a year in a particular hospital.find the average age for which maximum cases occured .[find  mode]
age                                 no of cases
5-14                                        6
15-24                                       11
25-34                                        21
35-44                                       23
45-54                                       14
55-64                                         5

 To find out 'h' and 'l',
  lower limit subtract 0.5 and to the upper limit add 0.5 in all the Class Intervals.
so you get
            
 l=34.5
 h=10

So mode of the data given 

=34.5+ ( 23-21/ 2  .  23 - 21 -14)10
 =34.5 +( 2 / 46 - 21 - 14)10
=34.5 + (2 / 11)
=34.5 + 20 / 11
 =34.5 +1.8181
 =34.5 + 1.82        (approximately)
 =36.32 (approximately)  

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