Final answer:
The sample mean of the given data set is M/n. The sample median, regardless of whether n is even or odd, is 0 since all x_i values except the last are zero.
Step-by-step explanation:
Given that n > 2, and xi = 0 for i = 1, ..., n-1, and xn = M where M is a positive number, we can find:
Sample Mean
The sample mean (x) is calculated by summing all the xi values and dividing by n. Since all the values except xn are 0, the sum is simply M. Divide M by n to get the sample mean, which is M/n.
Sample Median
To find the sample median, we arrange the data in ascending order. With this arrangement and given that xi = 0 for i = 1, ..., n-1, and xn = M, if n is an odd number, the median is the middle value, which is 0. If n is an even number, the median is the average of the two middle values which are both 0, so the sample median is also 0.