Question

if median of the data 8,12,17,×,25,28,is 20 then value of x is _________​

Answer 1

$\LARGE\star\mathfrak{\underline{\underline{\red{answer: }}}}$

$\sf{8, \: 12 \: , \: 17 \:,x \: , 25 \: ,28 \: }$

$\sf{we \: can \: see \: that \: the \: number \: of \: observations} \\ \sf{here \: are \: even, \: n = 6 \: ,so \: }$

$\sf{given : } \\ \sf{median = 20} \\ \sf{to \: find : } \\ \sf{x = \: ? }$

$\sf{median \: (even) = \frac{ (\frac{n}{2} )th \: observation \: + (\frac{n}{2} + 1)th \: observation}{2} }$

$\sf{median = \frac{ (\frac{6}{2})th + ( \frac{6}{2} + 1)th }{2} } \\ \sf{median \: = \frac{(3)rd + (4)th}{2} } \\ \sf{median = \frac{17 + x}{2} } \\ \sf{20 = \frac{17 + x}{2} } \\ \sf{17 + x = 40} \\ \sf{x = 40 - 17} \\ \boxed{\sf{x = 23}}$

Answer 2

Answer:

x = 23 , since using formula and we know the formula