Nallari Algebra 1 Class Name ______________________________________ Date ________________ Statistics: Variance, Standard Deviation, Mean Absolute Deviation, Z-Scores Quiz C) Calculate the standard deviation. Round the answer to the nearest whole number. D) Go back to question A. Mark on the graph one standard deviation above and below the mean. E) What is the z-score of the element 499? Round to the nearest hundredth. 1) Passing SOL scores of students: 402, 412, 416, 420, 427, 435, 439, 443, 447, 456, 461, 466, 472, 478, 484, 499, 508, 532, 549, 578 A) On the number line, list the mean of the data. Round the answer to the nearest whole number. F) How many elements have a z-score of greater than -1 ? 2) The data set shown has a mean of 45 and a standard deviation of 14.5, rounded to the nearest tenth. {22, 27, 33, 39, 42, 45, 54, 59, 62, 67} How many of these data points have a z-score less than –0.1 ? B) Calculate the mean absolute deviation. A B C D 2 3 4 5 3) A data set has a mean of 32.25 and a standard deviation of 5.21 An element in this set is 62. What is the z-score for 62? Round the answer to the nearest hundredth. 5) This table shows data on the fundraiser monies collected by four different classes and one student from each class. Bethany 4) Money Collected Mean for Standard Student’s Class Deviation z-score for Class 88 10 0.5 Steven 91 8 0.7 Jamie 94 7 1.2 Claire 89 14 0.35 Which of the four students raised the most money? 6) This line plot shows the ages of all of the people who live in Rivercrest Apartments. The mean amount of players for these basketball players is 45 players. The standard deviation of the data is 20.5 players. On the histogram, shade in each interval that may have data points within 0.5 standard deviations of the mean. Mean = 44 Standard Deviation = 7 How many elements are above the mean? How many elements are below the mean? How many elements fall within one standard deviation of the mean? How many standard deviations from the mean is the age of 35? Round to the nearest tenth.