anonymous
  • anonymous
WILL GIVE MEDAL! Find the value of x such that the data set has the given mean. 3.8, 4.2, 5.3, x; mean 4.8
Mathematics
schrodinger
  • schrodinger
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amoodarya
  • amoodarya
\[4.8=\frac{3.8+4.2+5.3+x}{4}\]you can find x
anonymous
  • anonymous
@amoodarya so would it be 3.325?
anonymous
  • anonymous
@amoodarya x= 3.325?

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amoodarya
  • amoodarya
i think so
amoodarya
  • amoodarya
no it is not x=4(4.8)-5.3-4.2-3.8=5.9
welshfella
  • welshfella
5.9 is correct
anonymous
  • anonymous
@welshfella could you explain to me how you get 5.9? I'll give you a medal
amoodarya
  • amoodarya
\[4.8=\frac{3.8+4.2+5.3+x}{4}\\\frac{4.8}{1}=\frac{3.8+4.2+5.3+x}{4}\\4.8 *1=3.8+4.2+5.3+x\\\]
welshfella
  • welshfella
first you cross multiply 4 * 4.8 = 19.2 so 3.8 + 4.2 + 5.3 + x = 19.2 adding the numbers on the left 13.3 + x = 192 now subtract 13.3 from both sides (this will leave x on its own on left side) 13.3 + x = 19.2 - 13.3 - 13.3 x = 5.9
welshfella
  • welshfella
cross multiply:- |dw:1433875265692:dw| -
anonymous
  • anonymous
@welshfella ok thanks I understand now. could you walk me through one more problem? 100, 121, 105, 113, 108, x; mean 112
anonymous
  • anonymous
@welshfella I just want to make sure im doing it correctly
welshfella
  • welshfella
set up an equation as before there are 6 numbers altogether so you divide by 6 112 = 100 + 121 + 105 + 103 + 108 + x ----------------------------- x
welshfella
  • welshfella
sorry - that is 6 in the bottom of the fraction not x
anonymous
  • anonymous
@welshfella so add all the numbers then divide by 6
anonymous
  • anonymous
@welshfella so 89.5
welshfella
  • welshfella
no cross multiply as before ( that is 112 * 6) : - 112*6 = 100 + 121 + 105 + 103 + 108 + x now solve for x in a similar way to the last question
anonymous
  • anonymous
welshfella
  • welshfella
112*6 = 672 that 's correct so we have 672 = 100 + 121 + 105 + 103 + 108 + x now find x
welshfella
  • welshfella
now add up those numbers on the right side
anonymous
  • anonymous
welshfella
  • welshfella
oops its not 103 but 113!! 672 = 100 + 121 + 105 + 113 + 108 + x
welshfella
  • welshfella
547 because of the 113
anonymous
  • anonymous
@welshfella oh I see what to do ok thanks
welshfella
  • welshfella
x + 547 = 672 now subtract 547 from both sides and you have your answer
welshfella
  • welshfella
x = 672 - 547
anonymous
  • anonymous
welshfella
  • welshfella
right - that looks good

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