The five number summary does show the skew.
Work Step by Step
The minimum value of the data set was 230. However, the difference between Q3 and the median (328.5-319.5) is less than the difference between Q1 and the median (319.5-303.5). This would show that there is a larger group of data points between Q3 and the median. Thus, the five number summary does show the skew.