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Question
The observation 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?
Solution
If number of observations is even, then the median will be the average of `(n/2)th and the (n/2+1)`th observations.
In the given case, ๐=10โน`(n/2)`๐กโ=5 ๐กโ ๐๐๐ `(n/2+1)`๐กโ=6๐กโ ๐๐๐ ๐๐๐ฃ๐๐ก๐๐๐.
Thus, 63=`(x+(x+2))/2`
โน126=2๐ฅ+2
โน 124=2๐ฅ
โน ๐ฅ=62
Thus, the value of x is 62.
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