NDA Math Statistics

(1) Modal value of the marks of Physics is the interval in which maximum number of students got his marks. In the marks interval of (30−40), number of students in Physics is 30, which is largest number of students in any interval. Hence, modal values of marks in Physics is (30−40) Statement (1) is correct.
(2) Median class is given by (

N

2

)th item i.e. (

100

2

)th item which is 50th item. This corresponds to the class interval of (40−50) for Physics and (30−40) for Mathematics. Medium =l1+

N 2 −C.f

f

×i
∴ Median for Physics =40+

100 2 −49

26

×10 =40+

50−49

26

×10 =40.385
Median for =30+

100 2 −31

38

×10 =30+

50−31

38

×10=35
Thus, median of the marks in Physics is more than median of the marks in Mathematics.
Hence, statement ( 2 ) is not correct.