Question

The 10 fastest mammals on Earth have an average speed of 86.08 kilometers per hour, with a standard deviation of 13.41 kilometers per hour. The cheetah and the pronghorn have speeds of 120.7 kilometers per hour and 88.5 kilometers per hour, respectively. The lion and the jackrabbit have z-scores of −0.42 and −1.05, respectively.

Part A: List these four mammals in order from fastest to slowest. (5 points)

Part B: Mathematically explain your reasoning and be sure to include all necessary calculations. (5 points)

Answer 1

PART A

The order from fastest to slowest is:

• Cheetah
• pronghorn
• Lion
• jackrabbit

PART B

We will calculate the z scores for all 4 mammals:

For cheetah

For pronghorn

For Lion

For Jackrabbit

We then compare the z scores in order to classify the animals from fastest to slowest.

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