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Question
The following observations have 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, 95
Solution
Total number of observation in the given data is 10 (even number). So median of this data
will be mean of `10/5 i.e , 5^(th) and 10 /2 + 1 i.e,6^(th) observation`
So, median of data = `(5^(th) observation +6^(th) observation)/2`
⇒ `63 = (x +x+2)/2`
⇒ `63 =(2x +2)/2`
⇒ 63 = x +1
⇒ x = 62
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