a-climatologist-measures-daily-rainfall-amounts-mm-for-1111-days-05-and-nbsp08-a

Question

A climatologist measures daily rainfall amounts (mm) for 1111 days: 0.5, 0.8, 1.0, 1.2, 1.3, 1.5, 1.6, 1.8, 2.0, 2.1, 2.40.5,\ 0.8,\ 1.0,\ 1.2,\ 1.3,\ 1.5,\ 1.6,\ 1.8,\ 2.0,\ 2.1,\ 2.4. Use the boxplot/ quartile method to evaluate whether the distribution of these rainfall amounts is symmetric. Which conclusion is correct?

Accepted Answer

Approximately symmetric because Q1=1.0, Q2=1.5, Q3=2.0, IQR=1.0Q_1=1.0,\ $$Q_2=1.5$$,\ $$Q_3=2.0$$,\ IQR=1.0 and distances to median are similar

Answer

Approximately symmetric because Q1=1.0, Q2=1.5, Q3=1.8, IQR=0.8Q_1=1.0,\ $$Q_2=1.5$$,\ $$Q_3=1.8$$,\ IQR=0.8 and fences exclude 2.42.4 as an outlier.

Answer

Right-skewed because Q1=1.0, Q2=1.6, Q3=1.9, IQR=0.9Q_1=1.0,\ $$Q_2=1.6$$,\ $$Q_3=1.9$$,\ IQR=0.9 and upper whisker is much longer.

Answer

Left-skewed because Q1=1.2, Q2=1.5, Q3=1.8, IQR=0.6Q_1=1.2,\ $$Q_2=1.5$$,\ $$Q_3=1.8$$,\ IQR=0.6 and lower whisker is longer.