Question

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

Answer 1

The data is 5, 7, 7, 8, 1,5, 4, 3, 1, 2

Mean = Sum of all observations/ Number of observations

4.5 = (5+7+7+8+x+5+4+3+1+2)/10

45 = x +42

x = 45-42 = 3

Now, arranging the data in ascending order, we get
1, 2, 3, 3, 4, 5, 5, 7, 7, 8

Since, observations are even in number.

∴ Median = Mean of two middle most observations

= (4+5)/2

= 9/2

= 4.5