Question

Q.13 5, 7, 10, 12, 2x-8, 2x+10, 35, 41, 42, 50 are arranged in ascending order. If their median
is 25, find x.
​

Answer 1

Here, Median is 2x - 8, 2x + 10

Now, Already Median Is Given As 25 so, We have Formula Of Median

$\boxed{\sf Median = \frac{n}{2}}$

$\sf Median = \frac{((2x-8)+(2x+10) )}{2}$

$\sf 25 = \frac{(4x - 8 + 10 )}{2}$

$\sf 25 = \frac{(4x + 2 )}{2}$

$\sf 25 = \frac{2(2x + 1)}{2}$

$\sf 25 = \frac{\cancel2(2x+1)}{\cancel2}$

$\sf 25 = 2x + 1$

$\sf 25-1= 2x$

$\sf 24 = 2x$

$\sf x = \frac{24}{2}$

$\sf x = \frac{\cancel{24}^{\: \: 12 × \cancel2}}{\cancel2}$

$\underline{\boxed{\sf x = 12}}$

I hope it helps you...