Question

Below are summary statistics for the distributions of the variable pupil/teacher ratio with respect to whether the school has high or low completion rate.

pupil/teacher ratio->	Mean	Median	SD	IQR	Count
High Completion rate (>80%)	14.85	14.40	4.39	4.2	35
Low Completion Rate (<80%)	16.32	16.60	3.92	6.3	15

In the space provided below, answer the following questions.

a) On average, the completion rate is larger with the high or low pupil/teacher ratio? Explain. Use the appropriate numerical values to support your statements.

b) Describe the shape of the distribution (skewed left, skewed right or symmetric) of the variable pupil/teacher ratio in the low completion rate group. Use the appropriate numerical values to support your statements.

c) The distribution of the variable Pupil/Teacher ratio in all 50 states has a strong outlier of 30 students per each teacher in Kentucky. To have a good understanding of the spread of the variable pupil/teacher ratio, should the researcher use the standard deviation or IQR? Explain.

Answer 1