Final answer:
The mean of the given data set is approximately 38.45 g and the median is 24 g. The mean represents the average amount of carbohydrates, while the median represents the middle value in the data set.
Step-by-step explanation:
To compute the mean of a set of data, you add up all the values and divide by the number of values. In this case, if we add up the given amounts of carbohydrates in the breakfast cereal, we get: 12 + 16 + 25 + 23 + 105 + 22 + 65 + 24 + 17 + 86 + 28 = 423 g. There are 11 days, so the mean is 423 g divided by 11, which is approximately 38.45 g.
To compute the median, we first need to arrange the data in numerical order: 12, 16, 17, 22, 23, 24, 25, 28, 65, 86, 105. Since there are 11 values, the middle value is the 6th value, which is 24 g.
In this problem, the mean of the amount of grams of carbohydrates in a serving of breakfast cereal over 11 days is approximately 38.45 g. The median is 24 g. The mean represents the average amount of carbohydrates, while the median represents the middle value in the data set.