sir can you please explain me the difference between step diviation method and short cut method

Asked by Megha | 18th Jun, 2014, 02:59: PM

Expert Answer:

I f space t h e space v a l u e s space o f space x space o r space left parenthesis a n d right parenthesis space f space a r e space l a r g e comma space t h e space c a l c u l a t i o n s space o f space a r i t h m e t i c space m e a n space b y space t h e space d i r e c t space m e t h o d space i s space t i m e space c o n s u m i n g. T h e r e f o r e space t o space r e d u c e space t h e space c a l c u l a t i o n s space i n v o l v e d comma space a n d space t o space r e d u c e space t h e space t i m e space i n space d o i n g space t h a t space c a l c u l a t i o n s comma space w e space t a k e space d e v i a t i o n s f r o m space a n space a r b i t r a r y space p o i n t. S h o r t space c u t space m e t h o d : T a k e space a n space a r b i t r a r y space p o i n t space a s space a s s u m e d space m e a n comma space s a y space A. S t e p space 1 : space C o n s t r u c t space t h e space f r e q u e n c y space t a b l e space s u c h space t h a t space i t s space f i r s t space c o l u m n space c o n s i s t s space o f space t h e space v a l u e s space o f space t h e space v a r i a b l e space a n d space t h e s e c o n d space c o l u m n space c o n s i s t s space o f space t h e space c o r r e s p o n d i n g space f r e q u e n c i e s S t e p space 2 : space S e l e c t space a space n u m b e r space apostrophe A apostrophe space a n d space f i n d space d e v i a t i o n s space d subscript i equals x subscript i minus A space a n d space w r i t e space t h e s e space d e v i a t i o n s space i n space t h e space t h i r d space c o l u m n. S t e p space 3 : space F i n d space t h e space p r o d u c t space o f space t h e space f r e q u e n c i e s space w i t h space t h e space d e v i a t i o n s space a n d space w r i t e space t h e m space i n space t h e space f o u r t h space c o l u m n. S t e p space 4 : space O b t a i n space t h e space s u m space o f space t h e space e n t r i e s space i n space t h e space t h i r d space c o l u m n space a n d space t h e space s u m space o f space t h e space f r e q u e n c i e s space i n space t h e space s e c o n d space c o l u m n. S t e p space 5 : space U s e space t h e space f o r m u l a space top enclose X equals A plus 1 over N open parentheses stack sum f subscript i d subscript i with i equals 1 below and n on top close parentheses

Answered by Vimala Ramamurthy | 19th Jun, 2014, 01:01: PM

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