Question

The median of the following numbers arranged in descending order is 25. Find the value of x.

The numbers are -40, 38, 35, 2x+10, 2x+1, 15, 11, 8 and 5​

Answer 1

Answer:

• x = 12

Given: Median of the numbers arranged in descending order is 25. The numbers are:

-40, 38, 35, 2x+10, 2x+1, 15, 11, 8, 5

To find: The value of x in the given numbers.

Solution:

From the given numbers, we can see that, there are totally 9 numbers. That means:

→ Number of observations(n) = 9

If the number of observations is odd, the median is the (n+1)/2 th term:

→ Median = (n+1)/2 th term

→ Median = (9+1)/2 th term

→ Median = 10/2 th term

→ Median = 5th term

From the given data, we observe that the 5th term is 2x+1.

→ Median = 2x+1

→ 2x+1 = 25

→ 2x = 25-1

→ 2x = 24

→ x = 24/2

→ x = 12

Hence, the value of x is 12.