Cumulative Exam — Cumulative exam Answers

A scientist calculated the mean and standard deviation of a data set to be and . She then found that she was missing one data value from the set. She knows that the missing data value was exactly 3 standard deviations away from the mean. What was the missing data value?

A three-digit personal identification number is chosen using the digits 1–9. The digits cannot be repeated.What is the approximate probability that the first digit will be 6?

The hypotenuse of a 45°-45°-90° triangle measures units.

A normal distribution of data has a mean of 90 and a standard deviation of 18. What is the approximate z-score for the value 64?