Given a mean of 571 and a standard deviation of 236.5 what is the z-score of the value 724 rounded to the nearest tenth

Z - score is a statistical tool that is used to determine the probability of finding a number or a value under a normal distribution plot. A normal distribution assumes that the mean is equal to zero and that the standard deviation is equal to 1. Using the z-score table, we can find the probability either on the right side or the left side. The expression to find the z score is z = (x - ∪) / ∅ where ∪ is the mean and ∅ is the standard deviation. Given ∪ equal to 571, ∅ equal to 236.5 and x equal to 724, we substitute these values to

z = (x - ∪) / ∅

z = (724-571) / 236.5

z = 0.6469