63EDEA3DECD9BA609CF93BDBF1E6D773.ap-stats-assign-10-2-1-review.pdf

A if every teacher is given a flat 1000 raise what

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(a) If every teacher is given a flat $1000 raise, what will this do to the mean salary? To the median salary? Explain your answers. (b) What would a flat $1000 raise do to the extremes and quartiles of the salary distribution? To the standard deviation of teachers’ salaries? Explain your answers. (c) If each teacher receives a 5% raise instead of a flat $1000 raise, the amount of the raise will vary from $1400 to $3000, depending on the present salary. What will this do to the mean salary? To the median salary? Explain your answers. (d) Will a 5% raise increase the IQR? Will it increase the standard deviation?Explain your answers.
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4. The figure below displays two density curves, each with three points marked. At which of these points on each curve do the mean and the median fall? 5. The figure below displays two density curves, each with three points marked. At which of these points on each curve do the mean and the median fall? 6. _____ Scores on the ACT college entrance exam follow a bell-shaped distribution with mean 18 and standard deviation of 6. Wayne’s standardized score on the ACT was −0.7. What was Wayne’s actual ACT score? (a) 4.2 (b) −4.2 (c) 13.8 (d) 17.3 (e) 22.2 7. _____ If 30 is added to every observation in a data set, the only one of the following that is not changed is (a) the mean. (b) the 75th percentile. (c) the median. (d) the standard deviation. (e) the minimum. 8. _____ If every observation in a data set is multiplied by 10, the only one of the following that is not multiplied by 10 is (a) the mean. (b) the median. (c) the IQR . (d) the standard deviation. (e) the variance.
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