Q. 584.8( 6 Votes )

Find the median of the given data if the mean is 4.5.

5, 7, 7, 8, x, 5, 4, 3, 1, 2

Answer :

Mean =


Sum of terms = 5 + 7 + 7 + 8 + x + 5 + 4 + 3 + 1 + 2


= 42 + x


Number of terms = 10


Mean = 4.5 =


42 + x = 4.5×10 = 45


x = 45 – 42 = 3


For median


Arrange terms in ascending order


1, 2, 3, 3, 4, 5, 5, 7, 7, 8


Median = mean of and terms


Median = Mean of 5 and 6th term


Median = mean of 4 and 5


Median = = 4.5


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