Each question consists of two statements, namely, Assertion (A) and Reason (R). For selecting the correct answer, use the following code:


Assertion (A)



Reason (R)



Consider the following frequency distribution:


Class interval



3 - 6



6 - 9



9 - 12



12 - 15



15 - 18



18 - 21



Frequency



2



5



21



23



10



12



The mode of the above data is 12.4.



The value of the variable which occurs most often is the mode.


Here, the maximum class frequency is 23.


The class corresponding to this frequency is the modal class. ⇒ modal class = 12 - 15


∴ lower limit of the modal class (l) = 12


Modal class size (h) = 3


Frequency of the modal class (f1) = 23


Frequency of class preceding the modal class (f0) = 21


Frequency of class succeeding the modal (f2) = 10


Mode is given by,



⇒


⇒


⇒ Mode = 12 + 0.4 = 12.4


∴ Assertion (A) is true and Reason (R) is true obviously.


But Reason (R) is not the correct explanation of Assertion (A).


Thus, Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).

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