Answer all the exercises and provide some explanations so I can understand. Please make sure it is organize and the questions are all answered. Thank you.

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Exercises 7 For numbers 1-3, find the (a) mean, (b) median and the (c) mode. (1) The grade point averages of 10 students who applied for financial aid are shown below: 3.62 2.54 2.81 3.97 1.85 1.93 2.63 2.50 2.80 (2) The calories per servings of 11 fruit juices are 150, 110 , 100, 35, 60, 130, 40 , 140,120, 160 and 110 (Source: Consumer Reports, February 1995, p. 79). (3) During 1993, the major earthquakes had Richter magnitudes are as follows: 7.0, 6.2, 7.7, 8.0, 6.4, 6.2, 7.2, 5.4, 6.4, 6.5, 7.2 and 5.4 (Source: The Universal Almanac 1995, p.567). (4) A student received an A in English Composition 1 (3 credits), a C in Introduction to Psychology (3 credits), a B in Biology 1 (4 credits), and a D in Physical education (2 Credits). Assuming A= 4 grade points, B=3 grade points, C = 2 grade points and D= 1 grade point. Find the student's grade point average. Course Units (wi) Grade(x) Eng Comp 1 A (4 points) Intro to Psych w C (2 points) Biology B (3 points) Phys Ed D (1 point) (5) Suppose a student made an average score of 64% in the quizzes, 48% in the first prelim, 35% in the second prelim, and 55% in the final exam. What is the final average score of the student if the quizzes weigh 30% of the total grade, first prelim 20%, second prelim 20%, and final exam weigh 30%? Did the student pass the course if the passing cut-off score is 45%?Exercises 8 For numbers 1 and 2, find the (a) range, (b) variance and (c) standard deviation. Assume that the data represent samples. Check your answers for variance and standard deviation with the result using the SD mode of your calculator. (1) Seven students were selected and asked how many hours each studied for the final exam in statistics. Their answers are recorded here. 8 6 3 0 5 0 9 (2) Shown below are the numbers of stories in the 11 tallest buildings in St. Paul, Minnesota (Source: The World Almanac and Book of Facts 1995, p.689). 32 36 46 20 32 18 16 34 26 27 26 (3) The number of goals scored by college lacrosse team for a given season are 4, 9, 0, 1, 3, 24, 12, 3, 30, 12, 7, 13, 18, 4, 5 and 15. Treating the data as a population, compute the coefficient of variation. (4) The weights of 10 boxes of a certain brand of cereal have a mean content of 278 grams with a standard deviation of 9.64 grams. If these boxes were purchased at 10 different stores and the average per box is $1.29 with a standard deviation of $0.09, can you conclude that the weights are relatively more homogeneous than the prices?Exercises 9 (1) Given the weights in pounds: 78, 82, 86, 88, 92, 97, 85, 90, 98, 79, 89, 95 and 99, what value corresponds to the 69th percentile? (2) For the given test scores 12, 28, 35, 42, 47, 49 and 50, what value corresponds to the 46" percentile? (3) In the given data set in number 1, what value corresponds to the 4th quartile? (4) In the given data set in number 2, what value corresponds to the 8" decile? (5) A student scores 60 on a mathematics test that has a mean of 54 and a standard deviation of 3, and she scores 80 on a history test with a mean of 75 and a standard deviation of 2. On which test did she do better than the rest of the class? (6) If an IQ test has mean of 100 and a standard deviation of 15, find the corresponding =-score for each IQ. a. 115 b. 122 c. 93 d. 100 e. 85 (7) Suppose 8 samples of a car racing are given by acceleration in terms of meter per second squared (m/s ): -50, -34, -78, 20, 67, -40, 48 and 65, compute the following measures of position: a. P20 b. PS8 C. D. d. D7 e. Q2 (8) Suppose two tests, A and B, of the effectiveness of medicine are given below. Find the z- score for each test and state which has the higher effect on the patient. Test A x=38 x=40 S=5 Test B x=94 *=100 $=10 (10) A final examination for a psychology course has a mean of 84 and a standard deviation of 4. Find the corresponding z-score for each raw score. a. 87 b. 79 C.93 d.76 e.82