Question

find x if the median of the observation in ascending order 24,25,26,x+2,x+3,30,31,34 is 27.5?

Answer 1

Answer:

I hope you'll find it understoodable ☺

Step-by-step explanation:

Answer 2

Answer:

$x = 25$

Step-by-step explanation:

Given observations in ascending order:

24,25,26,x+2,x+3,30,31,34

and

median = 27.5 ----(1)

Number of observations (n)=8

( even )

$median = average \:of \: \frac{n}{2}\: \:and \: \frac{n}{2}+1\:terms$

$= average \: of \:\: \frac{8}{2}\: and \: \frac{8}{2}+1\:terms$

$= average \: of \:\: 4^{th}\: and \: 5^{th}\:terms$

$= \frac{x+2+x+3}{2}\\=\frac{2x+5}{2}\:---(2)$

/* From (1) and (2) */

$\frac{2x+5}{2}=27.5$

$\implies 2x+5 = 2\times 27.5$

$\implies 2x+5 = 55$

$\implies 2x = 55-5$

$\implies 2x = 50$

$\implies x = \frac{50}{2}$

$\implies x = 25$

Therefore,

$x = 25$

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