8. The shoe sizes of a class of 14 students are listed below. a) Three measures of center that we leam are the mean, median, and mode. Calculate each, rounding the mean to a whole aumber. b) These three measures of center are trying to represent the data with one value. Which do you prefer to represent these shoe sizes, if you had to pick one? Which measure turns out to be misleading as far as the center of the data is concerned?

To find the mean, add all the shoe sizes together and divide by the number of students. To find the median, sort the sizes and find the middle value. The mode is the shoe size that appears most frequently. If the sizes are 8, 9, 10, 10, 9, 8, 11, 8, 10, 9, 11, 12, 9, and 8, the mean is 9, the median is 9, and the mode is 9. If I had to choose one measure to represent the shoe sizes, I'd go with the median because it’s less affected by outliers, giving a more reliable reflection of the center of shoe sizes. The mean can be misleading, especially if there are extreme sizes (like a very small or very large size), which can skew the average and misrepresent what most students actually wear.