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Just the opposite. Assuming a normal bell curve, the mean is higher than the median only if there is an upward skew to the curve (as you suggested). However, this assumes that the values above the median are greater in relation to the median than those below. Since there is a max score of 1600, which is 146 above the mean, a perfect bell curve would have the minimum values extend 146 below 1454, to 1309. We very much know that there must be a good many applicants with below 1309 scores. Therefore the likelihood that the median is below the mean in this case is extremely unlikely. The lower range of scores below 1309 would drag the mean below that of the median not above.</p>