Question

$\huge{\textbf{\textsf{{\color{red}{✏Qu}}{\red{es}}{\red{tion ࿐}} {\color{pink}{:}}}}}$
The following observations has been arranged in ascending order . If the median of the data is 27 , Find the value of x 13,19,20,25,x,x+2,33,34,35,36​



❌Do Not Spam ❌

Need Quality Answer ☑️​

Answer 1

Answer:

hence n=10

median =5th+6th/2 term

median =22+x/2=23

x=46-2

=24

if 32 is replaced by 23 then the observation will be

12, 14, 17, 20, 23, 24, 26, 36

now median=22+33/2=22.5

Answer 2

Question :-

The following observations has been arranged in ascending order . If the median of the data is 27 , Find the value of x 13,19,20,25,x,x+2,33,34,35,36

Answer :-

Given :

• Median of data = 27

Solution :

Number of terms n = 10 (even)

Since the number of terms is even.

$\sf \: median = \bigg \{\dfrac{ \big(\dfrac{n}{2} \big) ^{th} + \big( \dfrac{n}{2} + 1 \big) ^{th} }{2} \bigg \}$

$\sf \leadsto median = \bigg \{\dfrac{ \big(\dfrac{10}{2} \big) ^{th} + \big( \dfrac{10}{2} + 1 \big) ^{th} }{2} \bigg \}$

$\sf \leadsto median = \dfrac{5 + 6}{2}$

$\sf \leadsto \: median = 5.5th \: term$

5.5th term lies between 5th and 6th term

$\therefore \sf \leadsto \dfrac{(x) + (x + 2)}{2} = 27$

$\leadsto \sf \: 2x + 2 = 54$

$\leadsto \sf \: 2x = 54 - 2$

$\leadsto \sf \: x = \dfrac{52}{2}$

${\boxed{ \red{ \dag \sf \: x = 26 \dag}}}$

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

Hope it's help ⚓⚓

Please mark me as brainliest (◠‿◕)