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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
It can be observed that the total number of observations in the given data is 10 (even number). Therefore, the median of this data will be the mean of 10/2 i.e., 5th and (10/2)+1 i.e., 6th observation.
`"Therefore median of data "="fifth observation + sixth observation"/2`
`rArr63=(x+x+2)/2`
`rArr63=(2x+2)/2`
`rArr63=x+1`
⇒ x = 62
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