A certain zoo is know to collect \"unusual\" animals from different animal group

Question

A certain zoo is know to collect "unusual" animals from different animal groups. One ostrich specimen in the zoo weighs 229 kg and one elephant specimen weighs 8150 kg. Which of these two specimens would be considered more unusual in their group if ostriches have mean weight of 178.4 kg and a standard deviation of 21.3 kg, while elephants have a mean weight of 7250.6 kg with a standard deviation of 423.4 kg. (Quantitative measures leading to your conclusion must be shown for credit . . . guessing does not count.)

Explanation / Answer

For ostrich species

range for usual observation = ( mean - 2*std.dev, mean + 2*std.dev) = ( 178.4 - 2*21.3 , 178.4 + 2*21.3) = (135.8, 221)

For elephant species

range for usual observation = ( mean - 2*std.dev, mean + 2*std.dev) = (7250 - 2*423.4 , 7250 + 2*423.4) = (6403.8, 8097.4)

Ostrich weight of 229 falls outside the range

Elephant weight of 8150 also falls outside the range

Therefore, both are unusual from their respective groups.

Here range rule of thumb is used.

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