the number 50, 42, 41, 35, 2X +10, 2X - 8, 12, 11, 8, 6 are written in descending order. If their median is 25, find X.
Answers
Answered by
26
★★★hey friend!!★★★
_____________________________________________________________
25=mean of (5th+6th value)
25=1/2*(2x-8+2x+10)
25=1/2*4x+2
4x+2=50
4x=48
x=12
___________________________________________________________
★★★i hope this may help u!!!★★★
_____________________________________________________________
25=mean of (5th+6th value)
25=1/2*(2x-8+2x+10)
25=1/2*4x+2
4x+2=50
4x=48
x=12
___________________________________________________________
★★★i hope this may help u!!!★★★
Answered by
46
Hi ,
It is given that
50 , 42 , 41 , 35 , 2x + 10 , 2x - 8 , 12 ,
11 , 8 , 6 are in deceneding order.
Number of terms = n = 10 ( even )
Median = avg of [n/2 and ( n/2+1 )th]
terms
= Avg [ 5th, 6th ] terms
= [ ( 2x + 10 ) + ( 2x - 8 ) ] /2
= ( 4x + 2 ) /2
= 2x + 1 ----( 1 )
Median = 25 ----( 2 ) [ given ]
( 1 ) = ( 2 )
2x + 1 = 25
2x = 25 - 1
2x = 24
x = 24/2
x = 12
I hope this helps you.
: )
It is given that
50 , 42 , 41 , 35 , 2x + 10 , 2x - 8 , 12 ,
11 , 8 , 6 are in deceneding order.
Number of terms = n = 10 ( even )
Median = avg of [n/2 and ( n/2+1 )th]
terms
= Avg [ 5th, 6th ] terms
= [ ( 2x + 10 ) + ( 2x - 8 ) ] /2
= ( 4x + 2 ) /2
= 2x + 1 ----( 1 )
Median = 25 ----( 2 ) [ given ]
( 1 ) = ( 2 )
2x + 1 = 25
2x = 25 - 1
2x = 24
x = 24/2
x = 12
I hope this helps you.
: )
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