Which of the following statements are true? select all correct answers. in a normal distribution, the mean, the median, and the mode are the same. the arithmetic mean of a distribution must always be an observed value in that distribution. the median cuts a distribution of scores in half at the 50th percentile. if we correctly summed all deviations from the mean of a distribution (without squaring those deviations), we will always obtain a sum of zero. like the range, the interquartile range, is very susceptible to the influence of outliers.