The Grand Canyon and the Colorado River are beautiful, rugged, and sometimes dan

Question

The Grand Canyon and the Colorado River are beautiful, rugged, and sometimes dangerous. Assume there is a physician at the park clinic in Grand Canyon Village. Suppose the physician has recorded (for a 5-year period) the number of visitor injuries at different landing points for commercial boat trips down the Colorado River in both the Upper and Lower Grand Canyon. Upper Canyon: Number of injuries per Landing Point Between North Canyon and Phantom Ranch 2 31 13 48 11 3 1 3 Lower Canyon: Number of injuries per Landing Point Between Bright Angel and Lava Falls 101 1 089 2 113 01 10 2 The mean, median, and mode for Upper Canyon are 3.636, 3.0, and 3, respectively The mean, median, and mode for Lower Canyon are 4.286, 2.0, and 1, respectively Compare the mean, median, and mode found in Upper Canyon and Lower Canyon, respectively.

Explanation / Answer

Data provided:
For Upper Canyan:

Mean = 3.636

Median = 3

Mode : 3

Lower canyan:

Mean = 4.286

Median = 2

Mode = 1

The following points are noted in comparison:

1. Mean, median and mode are almost coincident at 3 for Upper Canyan. So, the Upper Canyan can be takien to be symmetric distribution.

2. Mean, median and mode for Lower Canyan are quite different. So, it can be taken as skewed distribution. Also, since Mean > Median > Mode, It ispositively skewed. - Right skewed. There is long tail in the positive direction. The mean is right of the peak.

3. Mean of Upper Canyan = 3.636 is less than mean = Lower canyan. This means the number of visitor injuries at different Landing Points between North Canyan and Phantom Ranch is more than that of Bright Angel and Lava Falls.

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