Matthew purchased some items at Staples each day for five days. The mode of the number of items Matthew purchased is higher than the median of the number of items he purchased. The median of the number of items Matthew purchased is higher than the mean of the number of items he purchased. He purchased at least two items but no more than seven items each day.

(a) How many items did Matthew purchase each day?

(b) Determine the mean, median, and mode for your answer to part (a).