Q. 74.7( 3 Votes )

Find the median of the following data: 19, 25, 59, 48, 35, 31, 30, 32, 51. If 25 is replaced by 52 and 19 by 29, what will be the new median?

Answer :

Arranging the data in ascending order: 19, 25, 30, 31, 32, 35, 48, 51, 59.
The number of observations n = 9 (odd)
∴ Median = observation = 5th observation = 32.
Hence Median = 32.
If 25 is replaced by 52 and 19 by 29, the new observations in ascending order are :
29, 30, 31, 32, 35, 48, 51, 52, 59.
∴ New Median = 5th observation = 35.

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