Q5 of 174 Page 594

17, 10, 12, 11, 10, 15, 14, 11, 12, 13

By arranging the given data in ascending order we will get,


10, 10, 11, 11, 12, 12, 13, 14, 15, 17


























































Values (x)



Frequency (f)



Cumulative frequency



fx



10



2



2



20



11



2



4



22



12



2



6



24



13



1



7



13



14



1



8



14



15



1



9



15



17



1



10



17




N = 10




∑fx = 125



We have;


N = 10 (even number)


Median =





Now,


∑fx = 125 and ∑f = N = 10


Mean =


Hence,


Mode = 3(median) – 2 (mean)


= 3×12 - 2×12.5


= 36 – 25


= 11


More from this chapter

All 174 →
3

Calculate the mode of the following sizes of shoes sold by a shop on a particular day.

5, 9, 8, 6, 9, 4, 3, 9, 1, 6, 3, 9, 7, 1, 2, 5, 9

 4

A cricket player scored the following runs in 12 one-day matches:

50, 30, 9, 32, 60, 50, 28, 50, 19, 50, 27, 35.


Find his modal score.


Calculate the mode of each of the following using the empirical formula.

 6

























Marks



10



11



12



13



14



16



19



20



Number of students



3



5



4



5



2



3



2



1


 7

























Item (x)



5



7



9



12



14



17



19



21



Frequency (f)



6



5



3



6



5



3



2



4