Numbers 50,42,35,2x+10,2x-8,12,11,8 are written descending order and their median is 25,find x.

Open in App

Solution

50,42,35,2x+10,2x-8,12,11,8 are written descending order

Here n=8 which is even

Now $M e d i a n = \frac{1}{2} [\frac{n}{2} t h t e r m + (\frac{n}{2} + 1) t h t e r m] = \frac{1}{2} [4 t h t e r m + 5 t h t e r m] = \frac{1}{2} [2 x + 10 + 2 x - 8] = \frac{1}{2} [4 x + 2] = 2 x + 1 B u t m e d i a n = 25 ∴ 2 x + 1 = 25 \Rightarrow 2 x = 25 - 1 = 24 \Rightarrow x = \frac{24}{2} = 12 H e n c e x = 12$

Suggest Corrections

Similar questions

Numbers $50, 42, 35, 2 x + 10, 2 x - 8, 12, 11, 8$ are written descending order and their median is 25, the value of $x$ is:

50, 42, 35, 2 x + 10, 2 x - 8, 12, 11, 8

25

x

15, 6, 16, 8, 22, 21, 9, 18, 25

10, 15, 18, 10, 10, 20, 10, 20, 15, 21, 15, 25

The median of 50, 42, 35, 2x + 10, 2x, -8, 12, 11, 8 (written in decreasing order) is 25. Find the value of x.

Join BYJU'S Learning Program