Question

find X and y values if the median of 2 5 7 X y 17 18 is 12.26 is add to the data new median is 14​

Answer 1

Answer:

ClassesFrequency (c.f) 

0−105  5 

10−20x  5+x  

20−306  11+x 

30−40y  11+x+y

40−506 17+x+y  

50−605  22+x+y

  Total40  ⇒  22+x+y=40

∴  x+y=18       ----- ( 1 )

⇒  Here, median class =30−40

⇒  l=30 , c.f=11+x , f=y , h=10 ,

n/ 2 = 40/2=20

⇒  Median =31

Median= 1 + [ n/2−cf/f ]×h

31=30+[20−(11+x) / y ]×10

1= 9−x / y ×10

∴  10x+y=90           ---- ( 2 )

Now, subtracting equation ( 1 ) from ( 2 ), we get

x=8 and 

y=10

Step-by-step explanation:

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