The lengths of the reigns of 50 British monarchs (in years) are summarized with the following five-number summary:
Xmin = 0, Q1 = 6, = 15.5, Q3 = 24, xmax = 63, = 18.92 = 18.92

Based on the five-number summary, the overall shape of the lengths of these reigns appears to be:
A) right-skewed.
B) symmetric.
C) left-skewed.
D) Data shape can be discerned only from visual methods.

Question

The lengths of the reigns of 50 British monarchs (in years) are summarized with the following five-number summary: ​
Xmin = 0, Q1 = 6,  = 15.5, Q3 = 24, xmax = 63,  = 18.92 = 18.92
​
Based on the five-number summary, the overall shape of the lengths of these reigns appears to be:
A) right-skewed. 
B) symmetric. 
C) left-skewed. 
D) Data shape can be discerned only from visual methods.

Quizplus · Accepted Answer

The minimum value is 0, which seems unlikely for a monarch's reign, indicating that there may be some outliers among the data. The median (Q2) is also closer to Q1 than to Q3, indicating that there are more low values than high values. Therefore, the data is skewed to the right.

The Lengths of the Reigns of 50 British Monarchs (In