Both box plots share the median but differ in mean, 3rd quartile, mode, IQR, and minimum value. The left set exhibits higher mean, 3rd quartile, and mode, indicating greater spread. The minimum value for the left set cannot be precisely determined from the box plot.
Based on the two box plots, the following can be determined:
Same for both data sets:
Median
Different for each data set:
* Mean
* 3rd Quartile
* Mode
* Interquartile range (IQR)
* Minimum value
Cannot tell if the value is the same or different:
* Minimum value
The box plots show that the two data sets have the same median, but different means, 3rd quartiles, modes, IQRs, and minimum values. The data set on the left has a higher mean, 3rd quartile, and mode than the data set on the right. The data set on the left also has a larger IQR, which means that the data is more spread out.
It is not possible to determine the minimum value of the data set on the left from the box plot. The whisker on the left extends to the same point as the minimum value of the data set on the right, but it is possible that there are data points below this value in the data set on the left that are not included in the box plot.
Here is a summary of the above information:
| Value | Same for both data sets | Different for each data set | Cannot tell if the value is the same or different |
|---|---|---|---|
| Mean | No | Yes | No |
| 3rd Quartile | No | Yes | No |
| Mode | No | Yes | No |
| IQR | No | Yes | No |
| Minimum value | Cannot tell | Yes | Yes |