Q2 of 145 Page 417

If the mean of a data is 27 and its median is 33 then the mode is

Given: mean = 27 and median = 33


We have to find the value of mode.


Empirical relationship is given by,


Mode = 3(Median) – 2(Mean)


⇒ Mode = 3(33) – 2(27)


⇒ Mode = 99 – 54 = 45

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31

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.


 1

Which one of the following measures is determined only after the construction of cumulative frequency distribution?

 3

Consider the following distribution:



















Class interval



0 - 5



5 - 10



10 - 15



15 - 20



20 - 25



Frequency



10



15



12



20



9



The Sum of the lower limits of the median class and the modal class is

 4

Consider the following frequency distribution:



















Class interval



0 - 5



6 - 11



12 - 17



18 - 23



24 - 29



Frequency



13



10



15



8



11



The upper limit of the median class is