AFDA – Warm Up #9 Z Pre Z-scores & Standard Deviation Quiz xx Name ______________________ Date ____________ Block _____ 1. If a data set has a mean of 150 and a standard deviation of 25, what is the z-score of an element with a value of 250? 2. If the mean of a set of data is 23 and the standard deviation is 4, what data value has a z-score of -1.5? 3. IQ scores have a mean of 100 and a standard deviation of 16. Albert Einstein reportedly had an IQ of 160. Madonna’s reported IQ has a z-score of 2.5. What is Madonna’s reported IQ? 4. The table below lists the homework grade and the test grades of 10 students in a math class. Which set of grades has a higher mean? Which grades are more consistent? (The standard deviation is smaller.) A new student comes to the class and earns a homework grade of 78. What is her z-score compared to the other homework grades? Based on her z-score, is her homework grade, below or above average? How do you know?