From the following data find median age of 100 residents of a colony who took part in swachch bharat abhiyan: - Maths - Statistics

Question

From the following data find median age of 100 residents of a
colony who took part in swachch bharat abhiyan:
Age(more than or equal to):0,10,20,30,40,50
No of residents:50,46,40,20,10,3
PLZZ DO NOT GIVE LINKS

Shruti Tyagi · Accepted Answer

Dear student,

According to the given observation,

Class Interval (CI)
Frequency (f)
Cumulative frequency
Midpoint of CI (x)
fx

0-10
50
50
5
250

10-20
46
96
15
690

20-30
40
136
25
1000

30-40
20
156
35
700

40-50
10
166
45
450

50-60
3
169
55
165

N=∑f=169

∑fx=3255

mean=∑fxN=3255169=19
26To find median we apply the formulaMedian=L+N2-Ff×iwhere, i=size of class intervalL=lower limit of the CI which includes the median score
F=Cumulative frequency upto median CIf=frequency in the class interval that contains the median∴N2=1692=84
5 ; L=20 ; F=15 ; i=10; f=40Thus, the median=20+84
5-1540×10=20+69 540×10=20+17 375=37 375
Regards

Class Interval (CI)	Frequency (f)	Cumulative frequency	Midpoint of CI (x)	fx
0-10	50	50	5	250
10-20	46	96	15	690
20-30	40	136	25	1000
30-40	20	156	35	700
40-50	10	166	45	450
50-60	3	169	55	165
	$N = \sum f = 169$			$\sum f x = 3255$

From the following data find median age of 100 residents of a colony who took part in swachch bharat abhiyan: Age(more than or equal to):0,10,20,30,40,50 No. of residents:50,46,40,20,10,3 PLZZ DO NOT GIVE LINKS......

From the following data find median age of 100 residents of a colony who took part in swachch bharat abhiyan:
Age(more than or equal to):0,10,20,30,40,50
No. of residents:50,46,40,20,10,3
PLZZ DO NOT GIVE LINKS......