Question

The double box and whisker plot represents the median growths of $50$ random samples of two types of corn seedlings. Based on the data given, select the correct option.

Answer 1

Type A dataset:
Median $=3.5$
IQR $=$ Third quartile $-$ First quartile $=4-3=1$

Type B dataset:
Median $=6.5$
IQR $=$ Third quartile $-$ First quartile $=7-5=2$
Difference in median $=6.5-3.5=3$
IQR to be considered to find the ratio of the difference in the medians to the IQR $=2$
So, $\frac{\text{difference in median}}{\text{IQR}}=\frac{3}{2}=1.5<2$
Since the ratio is less than $2$, we can conclude that the growth of seedlings of one type is not significantly more than that of the other type.