Home > Statistical Methods calculators > Mean, Median and Mode for mixed data calculator

 Solve any problem (step by step solutions) Input table (Matrix, Statistics)
Mode :
SolutionHelp
Solution
Find median {{1,2,5,6-10,10-20,20-30,30-50,50-70,70-100},{3,4,10,23,20,20,15,3,2}} [ Calculator, Method and examples ]

Solution:
Your problem -> median {{1,2,5,6-10,10-20,20-30,30-50,50-70,70-100},{3,4,10,23,20,20,15,3,2}}

 Class(1) Frequency (f)(2) cf(6) 1 3 3 3=0+3(6)=Previous (6)+(2) 2 4 7 7=3+4(6)=Previous (6)+(2) 5 10 17 17=7+10(6)=Previous (6)+(2) 6 - 10 23 40 40=17+23(6)=Previous (6)+(2) 10 - 20 20 60 60=40+20(6)=Previous (6)+(2) 20 - 30 20 80 80=60+20(6)=Previous (6)+(2) 30 - 50 15 95 95=80+15(6)=Previous (6)+(2) 50 - 70 3 98 98=95+3(6)=Previous (6)+(2) 70 - 100 2 100 100=98+2(6)=Previous (6)+(2) --- --- --- n = 100 -----

To find Median Class
= value of (n/2)^(th) observation

= value of (100/2)^(th) observation

= value of 50^(th) observation

From the column of cumulative frequency cf, we find that the 50^(th) observation lies in the class 10 - 20.

:. The median class is 10 - 20.

Now,
:. L = lower boundary point of median class =10

:. n = Total frequency =100

:. cf = Cumulative frequency of the class preceding the median class =40

:. f = Frequency of the median class =20

:. c = class length of median class =10

Median M = L + (n/2 - cf)/f * c

=10 + (50 - 40)/20 * 10

=10 + (10)/20 * 10

=10 + 5

=15

Solution provided by AtoZmath.com
Any wrong solution, solution improvement, feedback then Submit Here
Want to know about AtoZmath.com and me