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Following are the marks obtained by a ba...

Following are the marks obtained by a batch of 10 students in a certain class test in Statistics (X) and Accountancy (Y) :
`{:("Roll Number",1,2,3,4,5,6,7,8,9,10),("Statistics (X)",63,64,62,32,30,60,47,46,35,28),("Accountancy(Y)",68,66,35,42,26,85,44,80,33,72):}`
In which subject is level of Knowledge of students higher ?

Text Solution

Verified by Experts


Median = Size of `((N+1)/(2))` th item
`((10+1)/(2))` th item
= Size of `((11)/(2))` th item
` Median (X) = ("Size of 5th item + Size of 6th item")/(2)`
=`(46+47)/(2)=(93)/(2)=46.5` marks
Median (Y) `= ("Size of 5th item + Size of 6th item")/(2)`
`=(44+66)/(2)=(100)/(2)=55` marks
Median marks of Accountany (Y) are more than that of Statistics (X). Therefore , level of knownledge of students is higher in Accountanycy.
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  • Two numbers within the bracket denote the rank of 10 students of a class in two subjects : (1,10),(2,9),(3,8),(4,7),(5,6),(6,5),(7,4),(8,3),(9,2),(10,1) . Then rank correlation coefficient is

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