Question

calculate mode from the following data 2,5,5,10,10,10​

Answer 1

Answer:

Size of the item f

     10−15 4

     15−20 8

     20−25 18

     25−30 30

     30−35 20

     35−40 10

     40−45 5

     45−50 2

Modal class is 25−30 since it has the maximum frequency.

Lower limit of the modal class l=25

Frequency of the modal class f=30

Frequency of the preceding modal class f  

1

​  

=18

Frequency of the class reducing the modal class f  

2

​  

=20

Class width c=5

Mode =l+(  

2f−f  

1

​  

−f  

2

​  

 

f−f  

1

​  

 

​  

)×c

         =25+(  

60−18−20

30−18

​  

)×5=25+  

22

12×5

​  

 

         =25+  

22

60

​  

=25+2.73=27.73

Mode =27.73

Explanation:

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