The median of the data in the following table is $27$ . Find the missing frequencies $f_{1}$ and $f_{2}$

Question

The median of the data in the following table is 27- Find the missing frequencies f-1- and f-2-

Toppr Admin · Accepted Answer

Class-frequency -Cf-55-f125-f139-f139-f1-f247-f1-f247-f1-f2-68-x21D2-f1-f2-21-1-m-L-n2-x2212-Cff-xD7-h27-20-34-x2212-5-f1-20-xD7-107-34-x2212-5-f1-2-7-17-x2212-5-f12-5-f12-17-x2212-7-105-f1-20-x2234-f1-15From -1-f2-21-x2212-f1-21-x2212-15-x2234-f2-6

Class	$0 - 10$	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$	$50 - 60$	$T o t a l$
Frequency	$10$	$f_{1}$	$25$	$30$	$f_{2}$	$10$	$100$

Class Interval	$0 - 20$	$20 - 40$	$40 - 60$	$60 - 80$	$80 - 100$	$100 - 120$	Total
Frequency	$7$	$f_{1}$	$12$	$f_{2}$	$8$	$5$	$50$

Class:	0-20	20-40	40-60	60-80	80-100	Total
Frequency:	17	$f_{1}$	32	$f_{2}$	19	120

Class Interval	50-60	60-70	70-80	80-90	90-100	Total
Frequency	8	$f_{1}$	12	$f_{2}$	13	50

The median of the data in the following table is 27. Find the missing frequencies f1 and f2

Class*frequency (Cf)55+f125+f139+f139+f1+f247+f1+f247+f1+f2=68⇒f1+f2=21...(1)m=L+(n2−Cff)×h27=20+(34−(5+f1)20)×107=(34−(5+f1)2)7=17−(5+f12)5+f12=17−7=105+f1=20∴f1=15From (1)f2=21−f1=21−15∴f2=6

The median of the data in the following table is $27$ . Find the missing frequencies $f_{1}$ and $f_{2}$