Question

the mode of the following data 10,20,30,40,30,30​

Answer 1

Class intervals                       Frequency

   10-20                                       7

   20-30                                     12

   30-40                                     20

   40-50                                      11

  50-60                                        8

Here maximum frequency is 20 ,the class corresponding to this 30-40

So modal class is 30-40

Now lower limit of modal class (l)=30

Frequency (f1) of modal class =20

frequency (f0) of preceding the modal class  =12

frequency (f2) of the class succeeding the modal class=11

Class size=10    

Mod=l+[  

2f1−f0−f2

f1−f0

​  

]×h

Mod =30+[  

2×20−12−11

20−12

​  

]×10=30+  

17

8

​  

×10=30+4.705=34.705        

Answer 2

Answer:

30

Step-by-step explanation:

The mode is the most frequently occuring number. When the number are put in order, we get:

10, 20, 30, 30, 30, 40

The numbers occur the following amount of times:

10- Occurs 1 time

20- Occurs 1 time

30- Occurs 3 times

40- Occurs 1 time

So, when looking at the numbers, the most frequently occuring number, or the mode, is 30.

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