The given data set has a lower quartile of 13 and an upper quartile of 37. 1, 12, 13, 15, 18, 20, 35, 37, 40, 78 Which statement is true about any outliers of the data set?

The interquartile range is 37 − 13 = 24. Using the 1.5 × IQR rule, the upper fence is 37 + 1.5(24) = 73, and the lower fence is 13 − 1.5(24) = −23. Since 78 is above 73, it is an outlier; 1 is above −23, so it is not. The greatest value, 78, is the only outlier.

AI-written and checked against the verified answer.