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The median of 38,48, (x-1),68,78,88,arranged in …

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The median of 38,48, (x-1),68,78,88,arranged in ascending order is 58.find x

Posted by Guddu Soni 6 years, 7 months ago

CBSE > Class 07 > Mathematics

1 answers

Yogita Ingle 6 years, 7 months ago

Given observations are 38 , 48 , x - 1 , 68 , 78 , 88

Number of observations ( n ) = 6 [ even ]

median = average ( n/2 , n/2 + 1 ) th terms

= Ave( 3rd , 4th ) terms

= ( x - 1 + 68 )/2

= ( x + 67 )/2 ---( 1 )

median = 58 -----( 2 ) given

from ( 1 ) & ( 2 ) we get ,

( x + 67 )/2 = 58

x + 67 = 116

x = 116 - 67

x = 49

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