Question

Your patient, Sally, has come in for her yearly check-up. You

have her stand on a scale and measure her height. Your results are:
Weight: 66.5 kg Height: 1.69 m

Answer 1

To calculate the z-scores for different weights and interpret them based on the given mean and standard deviation. The z-scores will indicate how far Sally's weight is from the mean weight for girls of her height.

Step-by-step explanation:

Z-score Calculation and Interpretation:

To calculate the z-score, you need to subtract the mean from each weight and divide by the standard deviation:

• a. Z-score for 11 kg: (11 - 10.2) / 0.8 = 1
• b. Z-score for 7.9 kg: (7.9 - 10.2) / 0.8 = -2.875
• c. Z-score for 12.2 kg: (12.2 - 10.2) / 0.8 = 2.5

Interpreting the z-scores, a z-score of 1 for 11 kg means that Sally's weight is one standard deviation above the mean weight for girls of her height. A z-score of -2.875 for 7.9 kg means that Sally's weight is 2.875 standard deviations below the mean weight. Finally, a z-score of 2.5 for 12.2 kg means that Sally's weight is 2.5 standard deviations above the mean.