How do you find z-score given the data:-6, -9, -6, -4, 10? 1. 0.2321 2. -1.737 3. 0.8685 4. 0.9355 5. 6.500?

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Kole Weber · Accepted Answer

When finding a z-score you need three things.the center of your distribution, typically your population proportion or meanthe standard deviationa data point for which you are calculating the z-score.Above it seems you have two data sets. Let us take them on one at a time.{-6, -9, -6, -4, 10}, pretty small set with an obvious outlier.first we can calculate the mean by adding all the values and then dividing by the number of items in the data set.(            (      −      6      )      +      (      −      9      )      +      (      −      6      )      +      (      −      4      )      +      (      10      )        5    =  −  3so the mean is -3.The calculation of the standard deviation is too long for this answer. However, you can find it with many websites and calculators. You can also find the answer on Socratic.The standard deviation is 7.48.So the way we calculate the z-score is with the following formula:  z  =            x      −      μ              s      .      d      .       where x is a data point and s.d. is standard deviationI mentioned earlier that 10 was an outlier. Well let us calculate its z-score:      z          10        =            10      −      (      −      3      )        7.48    =  1.74since it is not more than 2 standard deviations away, it may not be an outlier. But visually it certainly looks like it.For completeness I will also do the other set:{1.0, 0.2321, 2.0, -1.737, 3.0, 0.8685, 4.0, 0.9355, 5.0 ,6.500}  μ  =  2.18s.d.=2.46So is 6.5 an outlier (more than 2 s.d. away)?      z          6.5        =            6.5      −      2.18        2.46    =  1.76so again the answer is no, but this one visually also doesn&#039;t look like an outlier.

How do you find z-score given the data:-6, -9, -6, -4, 10? 1. 0.2321 2. -1.737 3. 0.8685 4. 0.9355 5. 6.500?

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