Howard-Wolowitz
  • Howard-Wolowitz
Mean and Standard deviation question!
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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hartnn
  • hartnn
you know the formulas, right?
Howard-Wolowitz
  • Howard-Wolowitz
No not for this
Howard-Wolowitz
  • Howard-Wolowitz
um what is the formula called?

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hartnn
  • hartnn
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
hartnn
  • hartnn
std deviation is the square root of variance and variance is \(\Large {Var}(X) = \frac{1}{n} \sum \limits_{i=1}^n (x_i - \mu)^2. \)
Howard-Wolowitz
  • Howard-Wolowitz
problem, Im not sure where to put some of the values
hartnn
  • hartnn
\(\Large \mu = \dfrac{1.13+1.02+1.23+1.06+1.16}{5}\)
Howard-Wolowitz
  • Howard-Wolowitz
it is linear so 1.12u
hartnn
  • hartnn
yes, thats mean now calculate variance using the formula
hartnn
  • hartnn
n = 5 \(\mu\) =1.12
Howard-Wolowitz
  • Howard-Wolowitz
i got 1.25u
hartnn
  • hartnn
\(mean = \mu = 1.12\) \(\Large {Var}(X) = \dfrac{1}{n} \sum \limits_{i=1}^n (x_i - \mu)^2 \\ \Large = \dfrac{1}{5} [(1.13 - 1.12)^2+(1.02 - 1.12)^2 \\ \Large +(1.23 - 1.12)^2+(1.06 - 1.12)^2 +(1.16 - 1.12)^2] \)
hartnn
  • hartnn
calculating that has nothing to do with statistics you can use calculator or web to do that calculation for you
Howard-Wolowitz
  • Howard-Wolowitz
ok i got 8.43
hartnn
  • hartnn
http://www.wolframalpha.com/input/?i=+%5Cdfrac%7B1%7D%7B4%7D+%5B%281.13+-+1.12%29%5E2%2B%281.02+-+1.12%29%5E2++%2B%281.23+-+1.12%29%5E2%2B%281.06+-+1.12%29%5E2+%2B%281.16+-+1.12%29%5E2%5D
Howard-Wolowitz
  • Howard-Wolowitz
ok this time i got 0.00685
hartnn
  • hartnn
see the example here, https://www.easycalculation.com/statistics/standard-deviation.php
Howard-Wolowitz
  • Howard-Wolowitz
Question: is standard deviation and variance considered the same thing? or do I find it now?
hartnn
  • hartnn
they are conceptually different, but one formula to find variance, and square root of variance is std deviation
Howard-Wolowitz
  • Howard-Wolowitz
Now, my last question is basically asking if mean and median are or are not conflicting between which is the central value.. right?
hartnn
  • hartnn
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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