The Royal Badge of Wales, a coat of arms designed on behalf of the National Assembly for Wales, will feature on the banknotes alongside symbols representing the other three home nations.
Best Answer: It is possible for the standard deviation to be greater than the mean, even if all data points are positive numbers. However, the only way for this to happen is for most, if not all, data points to be at the extremes (with one extreme much greater in magnitude than the other) and nothing near the average.
However, the standard deviation measures the wiggliness of the scores, their variability, and that has not changed. The standard deviation is a kind of measure of the average distance from the mean. since all scores and the mean have changed by the same amount, the average distance from the mean has not changed.For multiplying by $5$, there is a formal argument similar in structure to the one for sum. Let $Y=kX$.he standard deviation is a kind of measure of the average distance from the mean. since all scores and the mean have changed by the same amount, the average distance from the mean has not changed.