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Howard-Wolowitz

  • one year ago

Mean and Standard deviation question!

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  1. hartnn
    • one year ago
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    you know the formulas, right?

  2. Howard-Wolowitz
    • one year ago
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    No not for this

  3. Howard-Wolowitz
    • one year ago
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    um what is the formula called?

  4. hartnn
    • one year ago
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    mean is just the average, sum all the values and divide by the number of values. first find mean, you'll need it for std deviation

  5. hartnn
    • one year ago
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    std deviation is the square root of variance and variance is \(\Large {Var}(X) = \frac{1}{n} \sum \limits_{i=1}^n (x_i - \mu)^2. \)

  6. Howard-Wolowitz
    • one year ago
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    problem, Im not sure where to put some of the values

  7. hartnn
    • one year ago
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    \(\Large \mu = \dfrac{1.13+1.02+1.23+1.06+1.16}{5}\)

  8. Howard-Wolowitz
    • one year ago
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    it is linear so 1.12u

  9. hartnn
    • one year ago
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    yes, thats mean now calculate variance using the formula

  10. hartnn
    • one year ago
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    n = 5 \(\mu\) =1.12

  11. Howard-Wolowitz
    • one year ago
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    i got 1.25u

  12. hartnn
    • one year ago
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    \(mean = \mu = 1.12\) \(\Large {Var}(X) = \dfrac{1}{n} \sum \limits_{i=1}^n (x_i - \mu)^2 \\ \Large = \dfrac{1}{5} [(1.13 - 1.12)^2+(1.02 - 1.12)^2 \\ \Large +(1.23 - 1.12)^2+(1.06 - 1.12)^2 +(1.16 - 1.12)^2] \)

  13. hartnn
    • one year ago
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    calculating that has nothing to do with statistics you can use calculator or web to do that calculation for you

  14. Howard-Wolowitz
    • one year ago
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    ok i got 8.43

  15. Howard-Wolowitz
    • one year ago
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    ok this time i got 0.00685

  16. hartnn
    • one year ago
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    see the example here, https://www.easycalculation.com/statistics/standard-deviation.php

  17. Howard-Wolowitz
    • one year ago
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    Question: is standard deviation and variance considered the same thing? or do I find it now?

  18. hartnn
    • one year ago
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    they are conceptually different, but one formula to find variance, and square root of variance is std deviation

  19. Howard-Wolowitz
    • one year ago
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    Now, my last question is basically asking if mean and median are or are not conflicting between which is the central value.. right?

  20. hartnn
    • one year ago
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    When the values of items in the data set are not important BUT the measure which divides the distribution into two equal parts is required, Median is considered as the measure of central tendency otherwise Mean is considered

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