Final answer:
To find the first quartile for the average percent of fat calories for a sample of size 16, arrange the data in ascending order, find the position of the first quartile using the formula: Q1 = (n + 1) / 4, and then locate the value at the corresponding position in the ordered data.
Step-by-step explanation:
The first quartile is also known as the 25th percentile. To find the first quartile for the average percent of fat calories for a sample of size 16, you need to first arrange the data in ascending order. Then, find the position of the first quartile using the formula: Q1 = (n + 1) / 4. In this case, n = 16, so Q1 = (16 + 1) / 4 = 17 / 4 = 4.25. Since the position cannot be a decimal, you round it up to the next whole number, which is 5. Finally, find the value at the 5th position in the ordered data to determine the first quartile.