Question

After receiving many complaints about his final-grade histogram from students currently taking a Statistics course, the professor distributed the following revised histogram. a) Comment on this display. b) Describe the distribution of grades.

Describing quantitative data
ANSWERED
asked 2021-02-25
After receiving many complaints about his final-grade histogram from students currently taking a Statistics course, the professor distributed the following revised histogram.
a) Comment on this display.
b) Describe the distribution of grades.

Answers (1)

2021-02-26
(a) We note that the given histogram contains a very large number of bars and that most bars are quite low while also very narrow.
The display is then not appropriate, as the histogram should contain less bars to make the shape in the distribution more obvious.
(b) The distribution of grades is skewed to the left as the highest bars in the histogram are to the right in the graph.
The grades appear to be centered roughly at 170, while the graders vary from about 75 to 190.
Moreover, there appear to be a few outliers in the distribution, as there are gaps between the bars of the histogram .
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