Final answer:
To construct a boxplot for the number of tornadoes recorded each month in 2005, arrange the data in ascending order, find the median, lower quartile, and upper quartile, and use these values to construct the boxplot. The boxplot shows that the data is positively skewed with a longer tail to the right.
Step-by-step explanation:
To construct a boxplot for the number of tornadoes recorded each month in 2005, first arrange the data in ascending order: 10, 18, 26, 33, 62, 123, 123, 132, 133, 138, 150, 316. Next, find the median: the median is the middle value of the data set, in this case, it is 123. Then, find the lower quartile (Q1): which is the median of the lower half of the data, in this case, it is 33. Finally, find the upper quartile (Q3): which is the median of the upper half of the data, in this case, it is 138. With these values, you can construct the boxplot. The box will go from Q1 to Q3, with a line inside representing the median. The whiskers will extend to the minimum value (10) and the maximum value (316). From the boxplot, you can see that the data appears to be positively skewed, with a longer tail to the right. This means that there are more months with a higher number of tornadoes recorded.