The parts of a blox plot are shown in the image below:
With this in mind we can labeled each part in the box plots given:
Now that we know each part of the plots given we can compare their values.
From the plot we notice that the distance from the minium value and the maximum value in the 4th of july plot is bigger than the same distance from new year's day. Hence:
The range of the data in the 4th of july parade is greater than the range of the data in the new year's day parade.
From the plot we also notice that the median in new year's day is less than the median in the 4th of july. Hence:
The median number of floats in the new year's day parade is less than the median number of floats in the 4th of july parade.
The interquartile range is defined as:
[tex]\text{IQR}=Q_3-Q_1[/tex]
For the 4th of july we have:
[tex]\text{IQR}=24-12=12[/tex]
For new year's day we have:
[tex]\text{IQR}=17-7=10[/tex]
Therefore.
The interquartile range for the 4th of july parade is 2 more than the new year's day parade.
Finally from the box plots we notice that the median for the 4th of july is approximately in the middle of the first and third quartile, which means that this distribution is symmetric. We also notice that the median in new year's day is closer to the first quartile than the third quartile, which means that the distribution is skewed to the right.
Therefore:
The 4th of july parade is symmetric and the new year's day parade is skewed right,
