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Question
The observations 29,32,48,50,x,x+2,72,78,84,95 are arranged in ascending order.What is the value of x if the median of the data is 63?
The observations 29,32,48,50,x,x+2,72,78,84,95 are arranged in ascending order.What is the value of x if the median of the data is 63?
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Solution
Given observation are:
29, 32, 48, 50, x, x+2, 72, 78, 84, 95
Total number of observation i.e n = 10
Given, median = 63
=> (5th value of observation + 6th value of observation)
= 63
[if number of observation is even then median = mean of (
)th value of observation + {(
) + 1}th value
of observation]
=> 
= 63
=> 2x + 2 = 63×2
=> 2x + 2 = 126
=> 2x = 126-2
=> 2x = 124
=> x = 62
Given observation are:
29, 32, 48, 50, x, x+2, 72, 78, 84, 95
Total number of observation i.e n = 10
Given, median = 63
=> (5th value of observation + 6th value of observation) = 63
[if number of observation is even then median = mean of ()th value of observation + {() + 1}th value
of observation]
=> = 63
=> 2x + 2 = 63×2
=> 2x + 2 = 126
=> 2x = 126-2
=> 2x = 124
=> x = 62
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