Question 1152373:
Which of the following numbers would be an outlier if added to the data set below?
507, 586, 499, 542, 615, 600, 561, 519
487
380
610
535
Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20850)   (Show Source):
You can put this solution on YOUR website!  ,  ,  ,  ,  ,  ,  , 
Since the sample size  is even, we have that
which is not an  value, the median is computing by taking the average of the values at the positions  th and  th term,
For  we have to compute the following position:
Since  is not an number, is computed by interpolating between the values located in the  nd and  rd positions :
Since  is not an integer number,  is computed by interpolating between the values located in the  th and  th positions:
The interquartile range is:
Now, we can compute the lower and upper limits for outliers:
In this case since all the outcomes  are within the values of
 and  , then there are  outliers.
answer:
outliers
Set of outliers: {} - empty set
Answer by MathTherapy(10552)  (Show Source):
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