Please include the formulas to solve the answers

[3] 14. Detail a situation in which using the median would be more appropriate to use as compared to the mean to describe a distribution. [5] 15. Using the data set below, calculate the standard deviation and the variance. Assume that the data is the population as compared to a sample: 2, 2, 4, 6, 10, 36 [4] 16. 14 students take a math test that is made up of 40 questions. Here are the number of questions that each student correctly answered: 16 20 22 26 26 27 29 32 34 36 36 37 38 39 a) What percentile is the student who answered 32 questions correctly? b) How many correct answers would a student have needed to be in the 80th percentile