A survey of major universities asked what percentage of incoming freshmen usually graduate "on time" in 4 years. Use the summary statistics given to answer the questions

	% on time
Count	48
Mean	69.06
Median	68.28
StdDev	10.94
Min	44.91
Max	86.42
Range	41.51
25th %tile	62.24
75th %tile	76.92

a) Would you describe this distribution as symmetric or skewed? Explain.

A.

This distribution is symmetric, because the mean and median are reasonably close to one another and the extreme values are approximately the same distance from the fences.

B.

This distribution is skewed to the left, because the medians is significantly less than the mean.

C.

This distribution is skewed to the right, because the medians is significantly greater than the mean.

D.

This distribution is symmetric, because the mean and median are reasonably close to one another and the quartiles are approximately the same distance from the mean.

Part 2b) Are there any outliers? Explain.

A.

No, because all the values in the distribution are between the fences.

B.

Yes, because the minimum value in the distribution is less than the lower fence and the maximum value is greater than the upper fence.

C.

Yes, because the minimum value in the distribution is less than the lower fence.

D.

Yes, because the maximum value in the distribution is greater than the upper fence.

Part 3c) Create a boxplot of these data. Choose the correct boxplot below.

A.

405060708090%

A vertical boxplot is shown alongside a vertical axis labeled "Percent" from 40 to 90 plus in intervals of 10. The boxplot has bottom horizontal box side at 62; middle horizontal box segment at 68; top horizontal box side at 77; and horizontal segments at 55 and 84 that are respectively connected to the bottom and top of the box with vertical segments. At the same horizontal position as the vertical segments, small circles appear at 45 and 86. All values are approximate.

B.

405060708090%

A vertical boxplot is shown alongside a vertical axis labeled "Percent" from 40 to 90 plus in intervals of 10. The boxplot has bottom horizontal box side at 62; middle horizontal box segment at 68; top horizontal box side at 77; and horizontal segments at 45 and 86 that are respectively connected to the bottom and top of the box with vertical segments. All values are approximate.

C.

20406080100%

A vertical boxplot is shown alongside a vertical axis labeled "Percent" from 20 to 100 in intervals of 10. The boxplot has bottom horizontal box side at 62; middle horizontal box segment at 68; top horizontal box side at 77; and horizontal segments at 40 and 99 that are respectively connected to the bottom and top of the box with vertical segments. All values are approximate.

D.

020406080100