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
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
She's WRONG!
Any value that's < Lower OUTLIER-VALUE, or < 393 is an OUTLIER. falls in this category!
Any value that's > Upper OUTLIER-VALUE, or > 713 is an OUTLIER. No number falls in this category!