Weaver Stephens
01/19/2024 · Primary School
The ages of the winners of a cycling tournament are approximately bell-shaped. The mean age is 27.9 years, with a standard deviation of 3.5 years. The winner in one recent year was 20 years old. (a) Transform the age to a \( z \)-score. (b) Interpret the results. (c) Determine whether the age is unusual. (a) Transform the age to a \( z \)-score. \( z=\square \) (Type an integer or decimal rounded to two decimal places as needed.)
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(a) \( z \)-score: -2.26
(b) The age of 20 years is 2.26 standard deviations below the mean, suggesting it's significantly lower than average.
(c) The age is considered unusual.
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