Question 5
The scores of a statistics test were normally distributed with a mean of 73 and
a standard deviation of 10. One thousand students took the test.
a. Joe got a score of 82. What is his z-score?
b. What is Joe's percentile rank (i.e. his mark is higher than how many
percentage of the total students)?
c. Approximately how many students scored between 75 and 85? (6 marks)

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