Answer:
Median :
P = 2 ; Q = 3.5
Variability :
P = 1.5 ; Q = 1.5
Step-by-step explanation:
The measure of center we can infer from the box plot is the median, which is the point marked by the vertical line in between the box ;
For Group P:
Median = 2 inches
For Group Q :
Median = 3.5 inches
To infer the variability :
We calculate the interquartile range (IQR) :
IQR = Q3 - Q1
Q3 = Upper quartile (end point of box) ; Q1 = lower quartile (start point of box) in the plot
Locate QI and Q3
Group P:
IQR = Q3 - Q1 = 3 - 1.5 = 1.5
Group Q :
IQR = Q3 - Q1 = 4.5 - 3 = 1.5