Question

If the median of the data 5,8,9,x,11,13 is 9.5 then find the value of x

Answer 1

Answer:

The value of x would be 10.

Step-by-step explanation:

Given data,

5, 8, 9, x, 11, 13

Since, the data is given in ascending order,

Thus, median of the data = $\frac{x+9}{2}$

According to the question,

$\frac{x+9}{2}=9.5$

$x + 9 = 19$

$\implies x = 19 - 9 = 10$

Hence, the value of x would be 10.

Answer 2

The value of x is "10".

Step-by-step explanation:

Given,

The median of the data = 9.5

Given data,

5, 8, 9, x, 11, 13

The data is given in ascending order.

To find, the value of x = ?

Here, n = 6, which is even.

∴ Median = Mean of $\dfrac{n}{2}$th and$(\dfrac{n}{2}+1)$th observations.

The median of the data =$\dfrac{x+9}{2}$

According to the question,

$\dfrac{x+9}{2}=9.5$

⇒ x + 9 = 19

⇒ x = 19 - 9 = 10

Hence, the value of x is 10.