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Statistics & DataChallengePercentiles and Box Plots

Percentiles and Box Plots · Challenge problem

The data 4,9,12,15,17,22,26,334, 9, 12, 15, 17, 22, 26, 33 have no outliers under the 1.5×IQR1.5 \times \text{IQR} rule (quartiles are medians of the lower and upper halves, the median excluded when the count is odd). Some extra values, all equal to 1717, are added to the data. What is the smallest number of added values that makes 3333 an outlier?