Question

MODELING REAL LIFE A farmer grows two types of corn seedlings. There are 1000 seedlings of each type. The double

box-and-whisker plot represents the median growths of 50 random samples of 7 corn seedlings of each type. Compare
the growths of each type of corn seedling. Justify your result.
Type A.
Type B
+
0
B
1 2 3
Previous
1
U
1 2
5 6 7
:E
3
4
8 9
T²
5
Growth
(inches)
T₂
7

Answer 1

Based on the given double box-and-whisker plot, we can see that the median growth of Type A corn seedlings is higher than the median growth of Type B corn seedlings. The median for Type A is approximately 5.4 inches, while the median for Type B is approximately 4.8 inches.

We can also compare the interquartile ranges (IQR) of each type of corn seedling. The IQR for Type A ranges from approximately 4.9 inches to 6.0 inches, while the IQR for Type B ranges from approximately 4.3 inches to 5.2 inches. This means that the middle 50% of growth measurements for Type A fall within a narrower range than for Type B, which indicates greater consistency in growth.

Therefore, based on the information provided by the double box-and-whisker plot, Type A corn seedlings appear to grow taller on average and with greater consistency compared to Type B corn seedlings. However, it's important to note that this conclusion is based solely on the limited sample data presented in the plot, and other factors could influence the actual growth rates of these corn seedlings in real life.