Find missing frequency f if mode of given data is 154.

Asked by araima2001 | 2nd Sep, 2015, 01:10: PM

Expert Answer:

table row cell C l a s s end cell cell f r e q u e n c y end cell row cell 120 minus 130 end cell 2 row cell 130 minus 140 end cell 8 row cell 140 minus 150 end cell 12 row cell 150 minus 160 end cell f row cell 160 minus 170 end cell 8 row cell 170 minus 180 end cell 7 end table G i v e n space t h a t space m o d e space o f space t h e space a b o v e space g r o u p e d space d a t a space i s space 154. W e space k n o w space t h a t comma M o d e equals L plus fraction numerator f subscript m minus f subscript m minus 1 end subscript over denominator f subscript m minus f subscript m minus 1 end subscript plus f subscript m minus f subscript m plus 1 end subscript end fraction cross times h H e r e comma space L space i s space t h e space l o w e r space l i m i t space o f space t h e space m o d a l space c l a s s comma space f subscript m space i s space t h e space f r e u e n c y space o f space t h e space m o d a l space c l a s s comma f subscript m minus 1 end subscript space i s space t h e space f r e q u e n c y space o f space t h e space p r e v i o u s space c l a s s comma space f subscript m plus 1 end subscript space i s space t h e space f r e q u e n c y space o f space t h e space n e x t space c l a s s space a n d space h space i s space t h e space c l a s s space w i d t h. S i n c e space 154 space i s space t h e space m o d e comma space t h e space m o d a l space c l a s s space i s space 150 minus 160. L o w e r space l i m i t space o f space t h e space m o d a l space c l a s s space i s space 140. T h u s comma space M o d e equals 150 plus fraction numerator f minus 12 over denominator f minus 12 plus f minus 8 end fraction cross times 10 rightwards double arrow 4 equals fraction numerator f minus 12 over denominator 2 f minus 20 end fraction cross times 10 B y space s i m p l i f y i n g comma space w e space g e t f equals 20

Answered by Vimala Ramamurthy | 4th Sep, 2015, 10:49: AM