Find the median of the given data if the mean is 4.5.
5, 7, 7, 8, x, 5, 4, 3, 1, 2

Question

Find the median of the given data if the mean is 4.5.5, 7, 7, 8, x, 5, 4, 3, 1, 2

Philoid · Accepted 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 6^th term

Median = mean of 4 and 5

Median = = 4.5