Micah's boxplot is incorrect because the statistical summary given by his boxplot is inaccurate.
The boxplot is a better at analysing the data as it gives more statistical output of the data than the histogram.
We need to write out the number of times taken by each student,
From the histogram; the data values are :
1, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 5, 5, 7, 7, 8, 8, 9, 9, 10, 10, 10
Using a boxplot maker or excel, we could create a boxplot of the data and compare with that given in the question.
5 number summary of Micah's boxplot :
Minimum = 1 (position of lower whisker)
Maximum = 9 (Position of upper whisker)
Lower quartile = 3(starting point of box)
Upper quartile = 8 (endpoint of box)
Median = 5 (vertical line in between box)
Outlier = 10
5 number summary of correct or accurate boxplot :
Minimum = 1 (position of lower whisker)
Maximum = 10 (Position of upper whisker)
Lower quartile = 2 (starting point of box)
Upper quartile = 8.2 (endpoint of box)
Median = 4.5 (vertical line in between box)
Outlier = None
Comparing the box plots, it can be concluded that Micah did not create the boxplot correctly.