The following represents the quantitative scores of 30 test-takers in

Nearly half of the values equal 170, and we don't have nearly that many repeats of other values, so 170 is the mode. The table lists values in increasing order, so the median here will be the 'middle' of the second row. We have an even number of values, so we need to average the two middle numbers in that row, and those are both 169, so that's the median. If you now split the set in half, the fifteen largest values average out to almost exactly 170. The fifteen smallest values average out to something clearly less than 168. By weighted average principles, since we divided the set into two groups of equal size, the overall average will be less than the average of 168 and 170, so will be less than 169. So mean < median < mode.