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adrenaline_rules

  • 2 years ago

Starting with the data values 70 and 100, add three data values to the sample so that the mean is 86, the median is 82, and the mode is 82. Please show all of your work.

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  1. lgbasallote
    • 2 years ago
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    have you tried trial and error?

  2. adrenaline_rules
    • 2 years ago
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    yes it just confuses me a bit more

  3. lgbasallote
    • 2 years ago
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    actually....it's not much of "error"... you know the start is 70 and the last is 100...then there are three blanks in the middle 70 _ _ _ 100 right?

  4. adrenaline_rules
    • 2 years ago
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    yes

  5. lgbasallote
    • 2 years ago
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    then it says the median is 82...so what do you think should you do?

  6. adrenaline_rules
    • 2 years ago
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    theoretically, it should look something like 70+82+82+x+100/5= 66.8

  7. lgbasallote
    • 2 years ago
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    exactly

  8. lgbasallote
    • 2 years ago
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    except... it says the mean is 86 so it should be (72 + 82 + 82 + x + 100)/5 = 86

  9. adrenaline_rules
    • 2 years ago
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    ohh. So, then how do you find that x?

  10. lgbasallote
    • 2 years ago
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    that should be \[\frac{70 + 82 + 82 + x + 100}5 = 86\]

  11. lgbasallote
    • 2 years ago
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    to solve for x, you should multiply both sides by 5 first

  12. adrenaline_rules
    • 2 years ago
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    so have 5*86, which comes to 430, and I believe we can subtract the original 334 by 430, right?

  13. lgbasallote
    • 2 years ago
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    right

  14. adrenaline_rules
    • 2 years ago
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    awesome. That missing number would come to be 96. Thank you!

  15. lgbasallote
    • 2 years ago
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    right

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