Question

The following data have been arranged in ascending order of magnitudes: 59, 62, 65, x, x+2, 72, 85, 94. If the median of the data 69, find the value of x.​

Answer 1

Therefore the value of x=68.

Step-by-step explanation:

Given data 59,62,65,x,x+2,72,85,94

n =the number of data points = 8

$(\frac{n}{2} )^{th}term=(\frac{8}{2} )^{th}term = 4^{th}$ term=x

$(\frac{n}{2}+1 )^{th}term=(\frac{8}{2}+1 )^{th}term = 5^{th} term$=  x+2

$Median=\frac{\frac{n}{2}^{th}+( \frac{n}{2}+1)^{th}}{2}$

            $=\frac{x+x+2}{2}$

           $=\frac{2x+2}{2}$

Given the median = 69

Therefore

$\frac{2x+2}{2}=69$

$\Rightarrow x+1=69$

⇒x=68

Therefore the value of x=68.

Answer 2

Answer:

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Step-by-step explanation:

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