Answer:
The most accurate inference from this boxplot is that: The visiting team had more variability in the number of shots taken.
Step-by-step explanation:
The box and whiskers plot is a way of presenting data that gives 5 major information about the distribution
From the whiskers of the plot, one can read
- The minimum value
- The maximum value
Then, from the boxplot, one can read
- The Median, represented by the middle line of the boxplot.
- The first Quartile or 25th percentile, represented by the lower end of the boxplot.
- The third quartile or 75th percentile, represented by the upper end of the boxplot.
Other variables that can be obtained from these five data points include
- The range of the distribution (maximum value minus minimum value)
- The interquartile range (a measure of variation, which is the difference between the third and first quartile of the distribution)
For the two boxplots that the coach made
Home team
Whiskers range from 16 to 32
Minimum value = 16
maximum value = 32
the box ranges from 20 to 23. A line divides the box at 22.
First quartile = 20
Third quartile = 23
Median = 22
IQR = 23 - 20 = 3
For the visiting team
Whiskers range from 14 to 32
Minimum value = 14
maximum value = 32
the box ranges from 16 to 24. A line divides the box at 18.
First quartile = 16
Third quartile = 24
Median = 18
IQR = 24 - 16 = 8
Since the median only represents the midpoint of the distribution, one cannot conclude with certainty that home team took more shots than the visiting team, information on the mean would confirm that.
A less controversial and evident inference is that the visiting team had more variability in their shots as their distribution has a higher Interquartile Range (IQR of 8 > 3) which is a direct measure of variation for distributions.
Hope this Helps!!!
