The Grand Canyon and the Colorado River are beautiful rugged

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

4

5

3

3

5

6

7

10

5

3

5

Lower Canyon: Number of injuries per Landing Point Between

Bright Angel and Lava Falls

9

3

3

0

7

8

4

12

5

0

3

11

4

3

The mean, median, and mode for Upper Canyon are 5.091, 5.0, and 5, respectively.

The mean, median, and mode for Lower Canyon are 5.214, 4.0, and 3, respectively.

Compare the mean, median, and mode found in Upper Canyon and Lower Canyon, respectively.

Solution

In the Upper Canyon mean of Number of injuries per Landing Point is 5.091 < 5.214 the mean of Number of injuries per Landing Point Lower Canyon

So in Lower Canyon the mean number of injuries is higer than in Upper Canyon

The median is 5 in case of upper Canyon while in Lower Canyon the median is 4

That means in Lower Canyon 50% have 4 injuriees while in Upper Canyon 50% have 5 injuries

So accidents in Upper Canyon are more fatal than in the Lower Canyon

Mode in Upper Canyon is 5 while in Lower Canyon it is 3. So more people have 5 injuries in Upper Canyon as compared to Lower Canyon