# In 2005, 1,475,623 students he

In 2005, 1,475,623 students heading to college took the SAT. The distribution of scores in the math section of the SAT follows a normal distribution with mean of 520 and a standard deviation of 115.  Use this information to answer the next five questions.

What variable is being measured?  Describe in words.

Calculate the z-score for an SAT score of 680.  Round your answer to 2 decimal places.
If one student is randomly selected, find the probability that she has an SAT score of at least 700. Sketch a diagram of this normal distribution labeling the mean, the x-value and the area that represents the probability.  Show and label all work.

What percentage of students have scores between 500 and 720?  Round to 2 decimal places.
Enormous State University (ESU) will only accept students in the top 15% of SAT scores.  What is the lowest SAT score you can have and be admitted to ESU? Round your answer to the nearest whole number.

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