Question

Find the value of x, if the median of the following numbers is 11
1, 2, 5, x - 3, x + 1, x + 4, 15, 16, 19

Answer 1

Numbers are : 1, 2, 5, x - 3, x + 1, x + 4, 15, 16, 19
total number of data points = 9
so median = $[\frac{(9+1)}{2}]^{th}=5^{th}$ data = x+1

thus x+1 = 11
⇒ x = 11-1
⇒ x = 10

Answer 2

numbers are 1 2 5 X-3 X+1 15 16 19
MEDIAN=11
9+1/2
5
5TH OBSERVATION
X+1=11
X=11-1
X=10