In the following frequency distribution the weekly Median cost of living Index is 1755 If total number of weeks - Maths - Statistics

Question

In the following frequency distribution the weekly Median cost
of living Index is 1755 If total number of weeks is 52 then find
the missing frequencies
cost of living Index 1500-1600 1600-1700 1700- 1800 1800-1900
1900-2000 2000-2100 2100-2200
NO of weeks 4 x y 8 4 3 2

Priyanka Kedia · Accepted Answer

Let first frequency be x So, second frequency y = 52 -
(4+x+8+4+3+2) = 31-x

Cost of living index
No of weeks(f)
c f

1500-1600
4
4

1600-1700
x
4+x -->c

1700-1800
31-x
-->f
35

1800-1900
8
43

1900-2000
4
47

2000-2100
3
50

2100-2200
2
52

Given, Median=1755 , which lies in the class 1700-1800
So, L=1700, N2=522=26, h=100, f=31-x, and c=4+xThus,Median=L+N2-cfh⇒1755=1700+26-4-x31-x100⇒55=22-x31-x100⇒5531-x=22-x100⇒1705-55x=2200-100x⇒100x-55x=2200-1705⇒45x=495⇒x=11And,y=31-x=31-11=20⇒y=20

Cost of living index	No. of weeks(f)	c.f.
1500-1600	4	4
1600-1700	x	4+x -->c
1700-1800	31-x -->f	35
1800-1900	8	43
1900-2000	4	47
2000-2100	3	50
2100-2200	2	52

In the following frequency distribution the weekly Median cost of living Index is 1755. If total number of weeks is 52 then find the missing frequencies . cost of living Index 1500-1600 1600-1700 1700- 1800 1800-1900 1900-2000 2000-2100 2100-2200 NO of weeks 4 x y 8 4 3 2

In the following frequency distribution the weekly Median cost of living Index is 1755. If total number of weeks is 52 then find the missing frequencies

. cost of living Index 1500-1600 1600-1700 1700- 1800 1800-1900 1900-2000 2000-2100 2100-2200

NO of weeks 4 x y 8 4 3 2