The ages of the winners of a cycling tournament are approximately bell-shaped. The mean age is 28.7 years, with a standard deviation of 3.7 years. The winner in one recent year was 22 years old Transform the age to a z-score.

We have been given that the ages of the winners of a cycling tournament are approximately bell-shaped. The mean age is 28.7 years, with a standard deviation of 3.7 years.

To transform the age of a 22 years old winner to a z-score we will use z-score formula.

[tex]z=\frac{x-\mu}{\sigma}[/tex], where,

[tex]z=\text{ z-score}[/tex],

[tex]x=\text{ Sample score}[/tex],

[tex]\mu=\text{ Mean}[/tex],

[tex]\sigma=\text{ Standard deviation}[/tex].

Upon substituting our given values in z-score formula we will get,

[tex]z=\frac{22-28.7}{3.7}[/tex]

[tex]z=\frac{-6.7}{3.7}[/tex]

[tex]z=-1.81081=\approx -1.81[/tex]

Therefore, the z-score corresponding to the age of a 22 years old winner is -1.81.

The ages of the winners of a cycling tournament are approximately bell-shaped. The mean age is 28.7 years, with a standard deviation of 3.7 years. The winner in one recent year was 22 years old Transform the age to a z-score.​

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The ages of the winners of a cycling tournament are approximately bell-shaped. The mean age is 28.7 years, with a standard deviation of 3.7 years. The winner in one recent year was 22 years old Transform the age to a z-score.