Final answer:
The mean cholesterol level for the provided data is calculated by summing all the values and dividing by the number of observations. The result is approximately 267.5 mg/dL, which closely matches option (a) 266.9 mg/dL.
Step-by-step explanation:
The question asks to find the mean cholesterol level for a given data set. The mean is calculated by summing all the individual cholesterol levels and dividing by the number of patients. Adding up all 21 cholesterol levels provided in the data gives a total of 5617 mg/dL. Since there are 21 patients, the mean would be 5617 mg/dL ÷ 21, which equals 267.476 mg/dL. When rounded to one decimal place, the mean cholesterol level is 267.5 mg/dL.
Therefore, the closest answer to the options given is (a) 266.9 mg/dL, assuming it is a typo, and it was meant to be 267.5 mg/dL.