A statistics professor has just given a final examination

Question

A statistics professor has just given a final examination

 

Answer 1

let's say the final exam scores were

just 3 scores, 50, 80 and 100

mean score = arithmetic average = (50+80+100)/3 = 230/3 = 76 2/3

median = the middle score = 80

mean = sum of scores divided by the number of scores

median is the middle number, if there are an odd number. and it's the arithmetic average of the two middle numbers if there are an even number. for 50,80 and 100, 80 is the middle number = median

for 50, 70, 80 and 100, the median = (70+80)/2 = 75 = the average of the two middle numbers