Guess which of the following two lists has the larger standard deviation (SD). (Check your guess with your calculator.) (a) 9, 9, 10, 10, 10, 12 (b) 7, 8, 10, 11, 11,13 (a) For each list below work out the mean, the Mean Absolute Deviations (MAD) from the mean and the SD. (1) 1, 3, 4, 5,7 5: , MAD: , SD: (11) 6, 8, 9, 10, 12 s , MAD = , SD : (b) What is the connection between lists (i) and (ii)? How does this relationship carry over to the MAD and the SD? E Three instructors are comparing scores on their nals. Each had 99 students. In class A, one student got 1 point, another got 99 points and the rest got 50 points. In class B, 49 students got a score of 1 point, one student got a score of 5D, and 49 students got a score of 99. In class C, one student got a score of 1, one student got a score of 2, one student got a score of 3, and so on, all the way through 99. (a) Which class had the biggest mean or are they all the same? (b) Which class had the biggest SD or are they all the same? (c) Which class had the biggest range or are they all the same? (a) The governor of California proposes to give all state employees a at raise of $70 a month. What would this do to the average monthly salary of the state employees? The SD? (b) 1What would a 5% increase in the salaries, across the board, do to the average monthly salary? To the SD