Final answer:
Sarah's growth should be compared to standardized pediatric growth charts, which would likely show that she is below the expected growth curve for her age. Z-scores are instrumental in understanding a child's growth in relation to standardized values. Calculating 'ideal body weight' and caloric needs require age-specific equations and data that is not provided in the question
Step-by-step explanation:
The question is concerning the health and growth development of a 3-year-old girl exhibiting failure to thrive (FTT). To assess Sarah's growth properly, we would need to plot her weight, height, and Body Mass Index (BMI) on a pediatric growth chart. Typically, pediatric growth charts are used to compare a child's growth to standardized growth patterns for their age and sex. Since Sarah has not gained weight and has only grown 1cm in height since age 2, she would likely fall below the growth curve for her age group. Previous statistics suggest that children normally gain 5-7 pounds and grow 2-3 inches per year, which is not the case here.
To calculate the 'ideal body weight' and caloric needs, healthcare professionals would typically look at the average weight for a child of her height and then calculate her caloric needs using age-specific equations or standards that take into account her current weight and estimated energy expenditure. Without specific formulas or standards, this calculation cannot be accurately completed in the scope of this answer.
As for the example with calculating z-scores for different weights based on the World Health Organization standards, you would subtract the mean weight (10.2 kg) from the child's weight and divide by the standard deviation (0.8 kg) to obtain the z-score. For Sarah, the calculation could be done similarly if her exact height, weight, and BMI z-scores are available. Understanding z-scores can help determine how far off a child's measurements are from the mean of a reference group.