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The following observations has been arranged in ascending order . If the median of the data is 63 , find the value of x . 29 ,32,48,50,x,x+2,72,78,84,and 95.

Posted by Shivani Bisht 3 years, 9 months ago

CBSE > Class 09 > Mathematics

1 answers

Gaurav Seth 3 years, 9 months ago

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)/2 = 63

[if number of observation is even then median = mean of (n/2)th value of observation + {(n/2) + 1}th value

of observation]

=> (x + x + 2)/2 = 63

=> (2x + 2)/2 = 63

=> 2x + 2 = 63*2

=> 2x + 2 = 126

=> 2x = 126-2

=> 2x = 124

=> x = 124/2

=> x = 62

Hence, the value of x is 62

1Thank You

ANSWER

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