INQUIRY {13 marks} 1. Twenty sudent scores on a test worth 40 marks are shown below: 2, 10, 18, 21, 22, 23, 24, 25, 25, 30, 30, 31, 32, 33, 34, 34, 36, 37, 40, 40 SHOW YOUR WORK FOR FULL MARKS or STATE WHERE CALCULATIONS WERE MADE/SHOW SCREEN SHOTS {6 marks} a) Calculate the measures of central tendency(mean, median, mode) & measures of spread(range, quartiles, IQR): (4 marks) Measures of Central Tendency Measures of Spread b) Using your calculations from above. How did this test go from the teacher's perspective? Do most students know what they are doing, or not? (2)2. A cell phone company that runs two different manufacturing plants has collected data regarding productivity and income over a 12 year period. The results are shown below. 2003 108 55 Year Production Revenue (in for Plants millions) 2004 117 52 A& B (000's) 2005 60 26 1997 26 14 2004 67 29 1998 50 26 2007 72 32 1999 60 31 2008 75 36 2000 72 35 2001 81 42 2002 99 50 a) Perform a linear regression for a comparison of the production (x) and revenue(y). State what type of technology you used(& include screen shots as well). Determine the equation of the line of best fit (regression line): y= as well as the correlation coefficient. r=_ What conclusions can you draw from this? {4 marks } b) One of the two manufacturing plants experienced a devastating fire and had to shut down production. During which year did this happen? { 1 mark } c) Suggest possible reasons why the company was able to maintain more than half of their previous production, fter the fire. { 2 marks )