Exam Chapter2 Exam Page 1 During an hour at a fast food restaurant, the following types of sandwiches are ordered: Turkey Hamburger Cheeseburger Fish Hamburger Turkey Fish Chicken Fish Chicken Turkey Fish Hamburger Fish Cheeseburger Fish Cheeseburger Hamburger Fish Fish Cheeseburger Hamburger Fish Turkey Turkey Chicken Fish Chicken Cheeseburger Fish Turkey Fish Fish Hamburger Fish Fish Turkey Chicken Hamburger Fish Cheeseburger Chicken Chicken Turkey Fish Chicken Hamburger Chicken Fish Chicken a) Make a frequency distribution for this data. Sandwiches Frequency Fish . 18 Chicken . 10 Turkey 8 Hamburger 8 Cheeseburger 6 Total 50 b) Make a relative frequency distribution for this data. Include relative percentages on this table. Sandwiches Calculation Relative Frequency Relative% Fish . 18/50 = 0.36 36% Chicken . 10/50 . = 0.2 20% Turkey 8/50 = 0.16 16% Hamburger 8/50 = 0.16 16% Cheeseburger 6/50 = 0.12 12% Total 50 1 100% Instructor Comments Very good. Answer Key During an hour at a fast food restaurant, the following types of sandwiches are ordered: Turkey Hamburger Cheeseburger Fish Hamburger Turkey Fish Chicken Fish Chicken Turkey Fish Hamburger Fish Cheeseburger Fish Cheeseburger Hamburger Fish Fish Cheeseburger Hamburger Fish Turkey Turkey Chicken Fish Chicken Cheeseburger Fish Turkey Fish Fish Hamburger Fish Fish Turkey Chicken Hamburger Fish Cheeseburger Chicken Chicken Turkey Fish Chicken Hamburger Chicken Fish Chicken a) Make a frequency distribution for this data. Major Frequency Hamburger 8 Cheeseburger 6 Fish 18 Turkey 8 Chicken 10 Total 50 b) Make a relative frequency distribution for this data. Include relative percentages on this table. Exam Page 2 Consider the following data: 437 389 414 401 466 421 399 387 450 407 392 410 440 417 488 Find the 60th percentile of this data. N=15 387 389 392 399 401 407 410 414 417 421 437 440 450 466 488 i=(p/100)n i=(60/100)15=9 The 9th number in the data set is 417 The 60th percentile in the data set is 417 Instructor Comments Very good. Answer Key Consider the following data: 437 389 414 401 466 421 399 387 450 407 392 410 440 417 488 Find the 60th percentile of this data. There are a total of fifteen numbers, so n= 15. In order to find the percentiles, we must put the numbers in ascending order: 387 389 392 399 401 407 410 414 417 421 437 440 450 466 488 For the 60th percentile: Therefore, the 60th percentile index for this data set is the 9th observation. In the list above, the 9th observation is 417. Exam Page 3 Consider the following data: {40, 36, 43, 31, 33, 39} a) Find the sample mean of this data. 40+36+43+31+33+39=222 n=6 222/6=37 The sample mean is 37 b) Find the range of this data. The range is 43-31= 12 The range is 12 c) Find the sample standard deviation of this data. xi=31,33,36,39,40,43 xbbar =37 n=6 (31-37)∧ =36 (33-37)∧ 2=16 (36-37)⋏2 = 1 (39-37)⋏ = 4 (40-37)⋏2 = 9 (43 -37⋏2 = 36 total 73.2 √8.56 d) Find the coefficient of variation.