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Five whole number are written in order

4    6   x     y    10

The mean and the median of the numbers are the same.

Work out the values of x and y

Thx for whoever helps me out

 Feb 26, 2021
 #1
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4 6 7 8 10

 Feb 26, 2021
 #2
avatar+592 
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if the mean and the median are the same, that means that the middle number and 20+x+y/5 are the same, and because the median has to be a whole number, then 20+x+y/5 has to be a whole number as well, so x+y is a multiple of 5. (from here I guessed because there are limited answers) I got 7as x and 8 as y.

 Feb 26, 2021
 #3
avatar+2407 
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x is the median since it's the middle number and since it's the median, it's also the mean. 

5x will be the sum of all the numbers since it's the mean. 

5x = 20 + x+ y

4x = 20 + y

So, you can plug some numbers in and try them. But, x and y must remain in order so x must be greater or equal to 6, and also less than or equal to y. 

x = 7 

y = 8. 

4(7) = 20 + 8

I hope this helped. :))

 

uwu

=^._.^=

 Feb 26, 2021
 #4
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THANKS U GUYSSSSSS :3

 Feb 26, 2021
 #5
avatar+2407 
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You're welcome. :))

 

=^._.^=

catmg  Feb 26, 2021
 #6
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Luv ur cat face =uwu=

Guest Feb 26, 2021
 #7
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aww, thanks. 

My favorite face is >:3

 

=/ᐠ。ꞈ。ᐟ\=

catmg  Feb 26, 2021

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