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Name __________________________ Quarter 2 Exam Review Sheet Date _____ Class _____ Mr. Lynch 1) The closing prices of two stocks are recorded below: ABC 78 78 76 75 74 78 76 76 77 DEF 54 67 57 57 65 87 56 74 54 a) Calculate the coefficient of variation for each stock. b) If you are a conservative investor, which of the two stocks would you invest in? 2) Use the following data values to answer the questions which follow: 67 65 64 66 66 66 66 69 70 71 a) Use Chebyshev's Theorem to calculate the interval under which 99% of the data will fall. b) Use Chebyshev's Theorem to calculate the interval under which 75% of the data will fall. c) Use Chebyshev's Theorem to calculate the interval under which 93.8% of the data will fall. 3) Use the following values to answer the questions that follow: 79 58 67 49 23 79 67 39 86 a) x bar = _____ b) median = _____ d) range = _____ e) variance = _____ f) s = _____ c) mode = _____ 79 23 g) σ = _____ h) x = _____ i) x2 = _____ 4) Use the following values to calculate a 5% and 10% trimmed mean: 79 83 79 87 98 37 98 47 98 37 69 83 76 98 37 69 83 79 98 67 13 96 79 83 06 79 82 84 38 90 40 33 78 78 67 68 76 98 73 90 5) Find the mean & standard deviation when given the following repeated data: x f xf x - x bar (x - xbar)2 (x - xbar)2f 10 101 11 104 12 155 13 100 = = = 6) Find the mean & standard deviation when given the following grouped data: Class x f xf x - x bar (x - xbar)2 (x - xbar)2f 11 - 15 85 16 - 20 87 21 - 25 88 26 - 30 81 = = = 7) In your physics course, your grade is calculated based on the following categories attendance (5%), class participation (10%), homework (25%), tests (25%), quizzes (20%), and presentation (15%). Your grades in the following were as follows, attendance – 100, class participation – 95, homework - 86, tests - 78.6, quizzes – 92, and presentation – 88. Find your weighted average. 8) The test grades for students in Jesus & Film are as follows: 57 89 75 98 10 37 98 05 63 18 47 69 83 16 98 32 79 68 52 37 69 81 73 69 87 31 88 67 91 83 76 98 38 a) Calculate the median rank. _________________ b) Calculate the IQR. _________________ c) Construct a box-and whisker plot to display the data. 9) Paul has a choice of 4 SFP polo shirts (pink, blue, red, teal). He also has a choice of 3 pairs of pants (khaki, blue, black) and 3 shoes (black, brown, white). a) Construct a tree diagram of all Paul's possible outfits. b) Find: P(blue shirt) = __________ P(pink and khaki) = __________ P(brown shoes or white shoes) = __________ P(pink, khaki, and white) = __________ P(white shirt) = __________ 10) Complete the chart below and answer the questions: f 52 53 51 54 51 50 Σ= x 1 2 3 4 6 7 fx x – x bar (x – x bar)2 Σ= a) Calculate the mean, variance, and standard deviation. (x – x bar)2f Σ= 11) Reels Inc. makes fishing rods. The company is doing research on their current fishing rods. They are looking specifically at price. The results are shown in the table below: Price (dollars) 15 20 25 30 35 40 45 Frequency Sold 18 48 72 94 86 51 23 a) Complete the table below. x 11 12 13 14 15 16 17 f 18 48 72 94 86 51 23 = P(x) xP(x) = = x-μ (x - μ)2 (x - μ)2P(x) = b) Expected Value = ___________________ c) Standard Deviation = ________________ d) Variance = __________________ e) Construct a histogram to display the data e) What is the distribution shape of the histogram (if any)? ____________ f) Find: P(30) = __________ P(15 to 17) = ________ P(below 14) = _________ P(above 13) = _____ P(at or above 15) = ________