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anonymous

  • one year ago

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

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  1. amoodarya
    • one year ago
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    \[4.8=\frac{3.8+4.2+5.3+x}{4}\]you can find x

  2. anonymous
    • one year ago
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    @amoodarya so would it be 3.325?

  3. anonymous
    • one year ago
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    @amoodarya x= 3.325?

  4. amoodarya
    • one year ago
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    i think so

  5. amoodarya
    • one year ago
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    no it is not x=4(4.8)-5.3-4.2-3.8=5.9

  6. welshfella
    • one year ago
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    5.9 is correct

  7. anonymous
    • one year ago
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    @welshfella could you explain to me how you get 5.9? I'll give you a medal

  8. amoodarya
    • one year ago
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    \[4.8=\frac{3.8+4.2+5.3+x}{4}\\\frac{4.8}{1}=\frac{3.8+4.2+5.3+x}{4}\\4.8 *1=3.8+4.2+5.3+x\\\]

  9. welshfella
    • one year ago
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    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

  10. welshfella
    • one year ago
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    cross multiply:- |dw:1433875265692:dw| -

  11. anonymous
    • one year ago
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    @welshfella ok thanks I understand now. could you walk me through one more problem? 100, 121, 105, 113, 108, x; mean 112

  12. anonymous
    • one year ago
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    @welshfella I just want to make sure im doing it correctly

  13. welshfella
    • one year ago
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    set up an equation as before there are 6 numbers altogether so you divide by 6 112 = 100 + 121 + 105 + 103 + 108 + x ----------------------------- x

  14. welshfella
    • one year ago
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    sorry - that is 6 in the bottom of the fraction not x

  15. anonymous
    • one year ago
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    @welshfella so add all the numbers then divide by 6

  16. anonymous
    • one year ago
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    @welshfella so 89.5

  17. welshfella
    • one year ago
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    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

  18. anonymous
    • one year ago
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    @welshfella 672

  19. welshfella
    • one year ago
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    112*6 = 672 that 's correct so we have 672 = 100 + 121 + 105 + 103 + 108 + x now find x

  20. welshfella
    • one year ago
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    now add up those numbers on the right side

  21. anonymous
    • one year ago
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    @welshfella 537

  22. welshfella
    • one year ago
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    oops its not 103 but 113!! 672 = 100 + 121 + 105 + 113 + 108 + x

  23. welshfella
    • one year ago
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    547 because of the 113

  24. anonymous
    • one year ago
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    @welshfella oh I see what to do ok thanks

  25. welshfella
    • one year ago
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    x + 547 = 672 now subtract 547 from both sides and you have your answer

  26. welshfella
    • one year ago
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    x = 672 - 547

  27. anonymous
    • one year ago
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    @welshfella x=125

  28. welshfella
    • one year ago
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    right - that looks good

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