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Sagot :

Answer:

A)σ = 15.37 miles per hour

B) σ = 55.10 miles per hour

C) 39.73 miles per hour

Step-by-step explanation:

Formula for standard deviation is;

σ = √(Σ(x - μ)²)/(n - 1)

A) For large wild cats;

μ = Σx/n = (70 + 40 + 30 + 40 + 35 + 35 + 35 + 35 + 10)/9 = 36.67

σ = √((70 - 36.67)² + (40 - 36.67)² + (30 - 36.67)² + (40 - 36.67)² + (35 - 36.67)² + (35 - 36.67)² + (35 - 36.67)² + (35 - 36.67)² + (10 - 36.67)²)/(9 - 1)

σ = √236.1139

σ = 15.37

B) For various birds;

μ = Σx/n = (218 + 106 + 97 + 56 + 66 + 39 + 55 + 32 + 54 + 20 + 25 + 25)/12

μ = 66.0833

σ = √((218 - 66.0833)² + (106 - 66.0833)² + (97 - 66.0833)² + (56 - 66.0833)² + (66 - 66.0833)² + (39 - 66.0833)² + (55 - 66.0833)² + (32 - 66.0833)² + (54 - 66.0833)² + (20 - 66.0833)² + (25 - 66.0833)² + (25 - 66.0833)²)/(12 - 1)

σ = √3035.72

σ = 55.10

C) difference in standard deviations = 55.10 - 15.37 = 39.73 miles per hour

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