1. Ms. Lin, a food scientist at a nutrition research institute, is investigating the sugar content in two popular varieties of breakfast cereal, Variety X and Variety Y. She wants to compare the amount of sugar per serving, measured in grams, for both varieties to determine if there are significant differences in their nutritional profiles.
Compare the distributions of sugar content for the sample of Variety X cereal and the sample of Variety Y cereal.
For the distribution of sugar content for the sample of Variety Y cereal, would you expect the mean to be greater than 15 g, less than 15 g, or equal to 15 g? Justify your answer.
Figure 1. Sugar Content for Two Cereal Varieties (Horizontal Boxplots, grams per serving)
Ms. Lin creates a new dataset by combining the data from the 50 servings of Variety X and the 50 servings of Variety Y.
What is the range of the combined data set? Show your work.
What is a possible value of the median of the combined data set? Justify your answer by referencing the boxplots shown in Figure 1.