Section 3.5 Homework

4. Which of the accompanying boxplots likely has the data with the larger standard​ deviation? Why?

Choose the correct answer below.

1. Boxplot II likely has the data with the larger standard deviation because the boxplot appears to have a greater​ spread, which likely results in a larger standard deviation.
2. Boxplot I likely has the data with the larger standard deviation because the values associated with Boxplot I are larger than the values associated with Boxplot​ II, which likely results in a larger standard deviation.
3. Boxplot II likely has the data with the larger standard deviation because the median is less than the median of Boxplot​ I, which likely results in a larger standard deviation.
4. Boxplot I likely has the data with the larger standard deviation because the IQR is smaller than that of Boxplot​ II, which likely results in a larger standard deviation.