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Question
The median of 19 observations is 30.Two more observations are made and the values of these are 8 and 32.Find the median of the 21 observations taken together.
The median of 19 observations is 30.Two more observations are made and the values of these are 8 and 32.Find the median of the 21 observations taken together.
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Solution
As median is the "middle" number of the sorted list of numbers, and given is median of 19 observations observed to be 30.
⇒ 30 is the middle most value amongst 19 observations. If two more observations (8 and 32) are added, where 8 is less than 30 and 32 is more than 30.30 is still the middlemost value as the two values are added on either side of 30.
Hence, median of 21 observations are 30.
As median is the "middle" number of the sorted list of numbers, and given is median of 19 observations observed to be 30.
⇒ 30 is the middle most value amongst 19 observations. If two more observations (8 and 32) are added, where 8 is less than 30 and 32 is more than 30.30 is still the middlemost value as the two values are added on either side of 30.
Hence, median of 21 observations are 30.
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