There are two boxplots, 1 of class A and the other of class B. they both illustrate the height of sunflowers grown in metres.
Class A : minimum is 0.9 m, Q3 is 2 m
Q1 is 1.5 m ,maximum is 2.8 m
Median is 1.9 m
Class B : minimum is 1.5 m, Q3 is 2.3
Q1 is 1.8 m, maximum is 2.5 m
Median is 2m
What can I conclude about the heights of the sunflowers grown by the two classes?
I know that class A grew more sunflowers that were taller then class B but I don’t know what else to say.
can some help me out here?
Consider the range of the two distributions. Is there a difference in variability?
Are there any differences in the skew between the two distributions?
I hope this helps. Thanks for asking.
To interpret the given boxplots and draw conclusions about the heights of sunflowers grown by the two classes, we can consider the following factors:
1. Range of the distributions: The range of the distribution refers to the difference between the minimum and maximum values. In class A, the range is 2.8 - 0.9 = 1.9 meters, while in class B, the range is 2.5 - 1.5 = 1 meter. Therefore, class A has a larger range, indicating that the heights of sunflowers in class A varied more widely compared to class B.
2. Variability: Variability can be assessed by comparing the interquartile range (IQR). IQR is the difference between the first quartile (Q1) and the third quartile (Q3). In class A, IQR is 2 - 1.5 = 0.5 meters, whereas in class B, IQR is 2.3 - 1.8 = 0.5 meters. Therefore, both classes have the same IQR, suggesting similar variability.
3. Skewness: Skewness refers to the symmetry or lack thereof in a distribution. A positively skewed distribution has a longer tail on the right, while a negatively skewed distribution has a longer tail on the left. To determine the skewness, we can compare the positions of the median, Q1, and Q3. In class A, the median is closer to Q3, indicating a slightly positive skew. In class B, the median is closer to Q1, suggesting a slightly negative skew. Therefore, there are slight differences in skewness between the two classes.
Based on this analysis, we can conclude that class A has a wider range of sunflower heights compared to class B. Both classes exhibit similar variability in sunflower heights, as indicated by their IQRs. Additionally, class A shows a slightly positive skew, while class B shows a slightly negative skew.