if the median of the following distribution is 25.2,then find p+q.

Asked by araima2001 | 2nd Sep, 2015, 04:40: PM

Expert Answer:

table row cell C l a s s e s end cell cell F r e q u e n c y end cell cell C u m u l a t i v e space f r e q u e n c y end cell row cell 0 minus 10 end cell 10 10 row cell 10 minus 20 end cell p cell 10 plus p end cell row cell 20 minus 30 end cell 15 cell 25 plus p end cell row cell 30 minus 40 end cell q cell 25 plus p plus q end cell row cell 40 minus 50 end cell 12 cell 37 plus p plus q end cell end table T o t a l comma space N equals 50 T h u s comma space M e d i a n equals N over 2 equals 25 H e n c e space t h e space m e d i a n space c l a s s space i s space 20 minus 30 W e space k n o w space t h a t space M e d i a n equals l plus open parentheses fraction numerator begin display style N over 2 minus c f end style over denominator f end fraction close parentheses cross times h H e r e space g i v e n space t h a t space m e d i a n space i s space 26... left parenthesis p l e a s e space c h e c k space t h e space q u e s t i o n. space 25.2 space c a n n o t space b e space t h e space m e d i a n. right parenthesis l equals l o w e r space l i m i t space o f space t h e space m e d i a n space c l a s s equals 20 N equals 50 c f equals c u m u l a t i v e space f r e q u e n c y space o f space t h e space g r o u p space b e f o r e space t h e space m e d i a n space c l a s s equals 10 plus p f equals f r e q u e n c y space o f space t h e space m e d i a n space c l a s s 15 h equals c l a s s space w i d t h equals 10 space T h u s comma space s u b s t i t u t i n g space t h e space a b o v e space v a l u e s comma space w e space h a v e comma 26 equals 20 plus open parentheses fraction numerator begin display style 50 over 2 minus left parenthesis 10 plus p right parenthesis end style over denominator 15 end fraction close parentheses cross times 10 rightwards double arrow 6 equals fraction numerator 25 minus 10 minus p over denominator 15 end fraction cross times 10 rightwards double arrow 6 equals fraction numerator 15 minus p over denominator 3 end fraction cross times 2 rightwards double arrow 3 cross times 3 equals 15 minus p rightwards double arrow 9 equals 15 minus p rightwards double arrow p equals 15 minus 9 equals 6 A n d space w e space k n o w space t h a t space 37 plus p plus q equals 50 rightwards double arrow p plus q equals 50 minus 37 rightwards double arrow p plus q equals 13 rightwards double arrow q equals 13 minus 6 rightwards double arrow q equals 7 T h u s space t h e space v a l u e s space o f space p space a n d space q space a r e space 6 space a n d space 7 space r e s p e c t i v e l y.

Answered by Vimala Ramamurthy | 4th Sep, 2015, 10:58: AM

Queries asked on Sunday & after 7pm from Monday to Saturday will be answered after 12pm the next working day.