sir canu explain this problem
 Compute the median for the following data:

Marks        (more than or equal to) Number of students
80 150
90 141
100 124
110 105
120 60
130 27
140 12
150 0

Asked by seeni2005 | 9th Jun, 2016, 07:51: PM

Expert Answer:

begin mathsize 16px style M o r e space t h a n space o r space e q u a l space t o space m e a n s space l o w e r space l i m i t s space a r e space p r o v i d e d space a n d space c o r r e s p o n d i n g space c u m u l a t i v e
f r e q u e n c i e s space a r e space g i v e n.

S t e p s colon
1 right parenthesis space M a r k space l o w e r space l i m i t s space o n space X minus a x i s space a n d space c o r r e s p o n d i n g space c f apostrophe s space o n space Y minus a x i s
2 right parenthesis space P l o t space p o i n t s space left parenthesis 80 comma space 150 right parenthesis comma space left parenthesis 90 comma space 141 right parenthesis comma space left parenthesis 100 comma space 124 right parenthesis space a n d space s o space o n.
3 right parenthesis space J o i n space t h e space p o i n t s space b y space f r e e space h a n d space s m o o t h space c u r v e space t o space g e t space t h e space O g i v e.
4 right parenthesis space C a l c u l a t e space N over 2 equals 150 over 2 equals 75 space a n d space l o c a t e space P equals 75 space o n space Y minus a x i s.
5 right parenthesis space F r o m space P comma space d r a w space a space l i n e space p a r a l l e l space t o space X minus a x i s space i n t e r s e c t i n g space c u r v e space a t space Q.
6 right parenthesis space F r o m space Q comma space d r a w space a space l i n e space p a r a l l e l space t o space Y minus a x i s space i n t e r s e c t i n g space X minus a x i s space a t space M.
7 right parenthesis space T h e space x minus c o o r d i n a t e space o f space M space i s space 116 space a n d space h e n c e space m e d i a n equals 116 end style
 

Answered by Rashmi Khot | 10th Jun, 2016, 03:14: PM