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LyraElizabethAdams
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PLEASE HELP!!!!!!!!! (Medal will go to best answer.)
Use the standard deviation to identify any outliers in the given data set: {3,4,5,6,8,9,10,30}
Please explain why there is or isn't an outlier and how you'd determine if there is one or not.
Thank you! =)
 2 years ago
 2 years ago
LyraElizabethAdams Group Title
PLEASE HELP!!!!!!!!! (Medal will go to best answer.) Use the standard deviation to identify any outliers in the given data set: {3,4,5,6,8,9,10,30} Please explain why there is or isn't an outlier and how you'd determine if there is one or not. Thank you! =)
 2 years ago
 2 years ago

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LyraElizabethAdams Group TitleBest ResponseYou've already chosen the best response.0
By the way  the variance is: 66.035
 2 years ago

nbouscal Group TitleBest ResponseYou've already chosen the best response.1
First, find the standard deviation of the data set. To do this, find the mean, then find the distance each point is from the mean, square and sum those distances, and square root the total. Once you have that, check how many standard deviations the data points are from the mean. There's no set definition for what makes a point an outlier; your class may have specified a number of standard deviations that qualifies. Inevitably, with this data set, the answer will be that 30 is an outlier, but you'll need to show why. Edit: Since you have the variance, you can just take the square root of the variance to find the standard deviation.
 2 years ago

LyraElizabethAdams Group TitleBest ResponseYou've already chosen the best response.0
Wow! Thanks so much. I found that the variance is: 8.13  my class didn't specify if this would classify it as an outlier. What do you think?
 2 years ago

LyraElizabethAdams Group TitleBest ResponseYou've already chosen the best response.0
*sorry I meant that 8.13 is the Standard Deviation
 2 years ago

LyraElizabethAdams Group TitleBest ResponseYou've already chosen the best response.0
BTW  the mean of the original data set was: 9.375
 2 years ago

nbouscal Group TitleBest ResponseYou've already chosen the best response.1
Well, since you know the standard deviation, and you know the mean, you can find how many standard deviations away from the mean each point is. At some cutoff, you'll say that a point is an outlier if it's more than a certain number of standard deviations away from the mean. With this data set, 30 is more than 2 standard deviations away from the mean, so it's definitely an outlier.
 2 years ago

LyraElizabethAdams Group TitleBest ResponseYou've already chosen the best response.0
Okay, perfect! Thank you so much! I really appreciate your thoroughness! If I could give you another medal, I would. :)
 2 years ago
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