# statistics- normal standard distribution

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**mary- please check calculations.**
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a set of data is normally distributed with a mean of 500 and standard deviation of 100:

*what would t he standard score for a score of 700 be? According to my calculations 700-500/100=200/100=2 how would i interpret that. please show work. i know that i went wrong somewhere, please show where.

*what percent of the score is between 500 and 700? how would i work out the problem? please show your calculations. i know that you have to add the two values, right? what will the two values be when added together to calculate the final answer?

*what would the percentile rank for a score of 700 be? i know that there is a formula for that? please show calculations.