Common Core: S-ID.3
Problem 3 of 45s12-003
Data: 3, 9, 11, 11, 12, 16, 16, 17, 17, 18, 27. With Q1 and Q3 the medians of the lower and upper halves (median left out), which values are outliers by the rule?
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Solution walkthrough2:00
- The values are in order. The median is the th, . Leave it out: five values below, five above.
- is the middle of the lower half, . is the middle of the upper half, . So .
- Step out from each quartile: lower fence , upper fence .
- is above the lower fence, , so it is not an outlier. is beyond the upper fence, , so it is.
- Traps: fences one IQR out flag both. Using the range flags neither. is far from the median but inside its fence.