Q7 of 174 Page 594

























Item (x)



5



7



9



12



14



17



19



21



Frequency (f)



6



5



3



6



5



3



2



4


Draw the table as below,
































































Items (x)



Frequency (f)



Cumulative frequency



Fx



5



6



6



30



7



5



11



35



9



3



14



27



12



6



20



72



14



5



25



70



17



3



28



51



19



2



30



38



21



4



34



84




N = 34




∑fx = 407



We have;


N = 34 (even number)


Median =





Now,


∑fx = 407 and ∑f = N = 34


Mean =


Hence,


Mode = 3(median) – 2 (mean)


= 3×12 - 2×11.97


= 36 – 23.94


= 12.06


More from this chapter

All 174 →
5

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

 6

























Marks



10



11



12



13



14



16



19



20



Number of students



3



5



4



5



2



3



2



1


 8























X



18



20



25



30



34



38



40



F



6



7



3



7



7



5



5


 9

The table given below shows the weights (in kg) of 50 persons:























Weight (in kg)



42



47



52



57



62



67



72



Number of persons



3



8



6



8



11



5



9



Find the mean, median and mode.