Final answer:
In a Tukey boxplot, the whiskers extend from the first quartile to the smallest value, and from the third quartile to the largest value, unless there are outliers, in which case they extend to the last value within 1.5 times the interquartile range from the quartiles.
Step-by-step explanation:
In a Tukey boxplot, the whiskers represent the variability outside the upper and lower quartiles. Typically, box-and-whisker plots include two whiskers. One whisker extends from the first quartile to the smallest value in the dataset, while the other whisker extends from the third quartile to the largest value. When constructing a box plot, the median (second quartile) is often shown with a dashed or solid line inside the box, which represents the middle 50 percent of the data based on the interquartile range (IQR). In cases where there are outliers, which are values that fall outside the range of Q1 - 1.5(IQR) and Q3 + 1.5(IQR), the whiskers will extend only to the last data point within this range, not to the outliers themselves. Outliers are typically represented by dots.