what is ogive and how to find median from that.

Asked by meeldeepanshu | 22nd Sep, 2015, 10:46: PM

Expert Answer:

C o n s i d e r space a space f o l l o w i n g space e x a m p l e colon
S o l u t i o n colon F i r s t space p r e p a r e space t h e space c u m u l a t i v e space f r e q u e n c y space t a b l e T a k e space x space a x i s space a s space t h e space m a r k s space a n d space y space a x i s space a s space t h e space c u m u l a t i v e space f r e q u e n c y. M a r k space t h e space p o i n t s space f r o m space t h e space t a b l e space o n space t h e space p l a n e space a n d space j o i n space t h e space p o i n t s space a s space s m o o t h space c u r v e. T h i s space c u r v e space i s space c a l l e d space O g i v e.
 
left parenthesis i right parenthesis H e r e comma space n equals 200 T h u s comma space n over 2 equals 100 D r a w space a space l i n e space f r o m space t h e space p o i n t space 100 space t o space t h e space c u r v e space O g i v e. N o w space d r o p space a space p e r p e n d i c u l a r space f r o m space t h e space i n t e r s e c t i n g space p o i n t space t o space t h e space x minus a x i s. M a r k space t h e space p o i n t space o f space i n t e r s e c t i o n space o f space t h e space p e r p e n d i c u l a r space o n space t h e space x minus a x i s. H e r e space i t space i s space 57.5 T h u s space t h e space m e d i a n space i s space 57.5 left parenthesis i i right parenthesis M i n i m u m space m a r k s space r e q u i r e d space t o space p a s s space i s space 40. 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 f r o m space t h e space p o i n t space 40 space o n space t h e space x minus a x i s space t o space t h e space O g i v e space c u r v e. N o w space d r o p space a space p e r p e n d i c u l a r space f r o m space t h e space i n t e r s e c t i n g space p o i n t space t o space t h e space y minus a x i s. M a r k space t h e space p o i n t space o f space i n t e r s e c t i o n space o f space t h e space p e r p e n d i c u l a r space o n space t h e space y minus a x i s. H e r e space i t space i s space 46. T h u s comma space t h e r e space a r e space 46 space s t u d e n t s space w h o space f a i l e d. left parenthesis i i i right parenthesis W e space n e e d space t o space f i n d space t h e space n u m b e r space o f space s t u d e n t s space w h o space s e c u r e d space g r a d e space o n e space left parenthesis s c o r i n g space 85 space a n d space m o r e space m a r k s right parenthesis. 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 f r o m space t h e space p o i n t space 85 space o n space t h e space x minus a x i s space t o space t h e space O g i v e space c u r v e. N o w space d r o p space a space p e r p e n d i c u l a r space f r o m space t h e space i n t e r s e c t i n g space p o i n t space t o space t h e space y minus a x i s. M a r k space t h e space p o i n t space o f space i n t e r s e c t i o n space o f space t h e space p e r p e n d i c u l a r space o n space t h e space y minus a x i s. H e r e space i t space i s space 184. t o t a l space n u m b e r space o f space s t u d e n t s equals 200 T h u s comma space t h e space n u m b e r space o f space s t u d e n t s space w h o space s c o r e d space g r a d e space o n e equals 200 minus 184 equals 16
 
 

Answered by Vimala Ramamurthy | 23rd Sep, 2015, 10:56: AM