CBSE Class 10 Answered

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

Asked by araima2001 | 02 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 | 04 Sep, 2015, 10:58: AM

CBSE Class 10 Answered

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CBSE Class 10 Answered

Application Videos

Arithmetic Mean of Ungrouped Data

Median of Ungrouped Data

Median of Grouped Data

Mean of Grouped Data

Mode of Ungrouped Data

Concept Videos

Arithmetic Mean of Grouped Data

Mode of Grouped Data ...

Relation Between Central Tendencies

Cumulative Frequency Curve

About median of grouped data

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