Answer :
Charles Darwin's height of 182 cm corresponds to a z-score of approximately 0.8571.
To convert Charles Darwin's height to a z-score, we'll use the formula for z-score:
[tex]\[ z = \frac{x - \mu}{\sigma} \][/tex]
Where:
z is the z-score,
x is the individual height (in this case, Charles Darwin's height of 182 cm),
[tex]\( \mu \)[/tex] is the mean height (176 cm), and
[tex]\( \sigma \)[/tex] is the standard deviation (7 cm).
Substitute the given values into the formula:
[tex]\[ z = \frac{182 - 176}{7} \][/tex]
[tex]\[ z = \frac{6}{7} \][/tex]
[tex]\[ z \approx 0.8571 \][/tex]
