Question

Please read the direction in every problem. Show all your work here. (Round probabilities to 4 decimals.) 1. A student earned grades of 84, 78, 84, and 72 on her four regular tests. She earned a grade of 78 on the final exam and 86 on her class projects. Her combined homework grade was 87. The four regular tests count for 40% of the course grade, the final exam counts for 30%, the project counts for 10%, and homework counts for 20%. What is her weighted mean grade? (Round to one decimal place.) 2-3. The test scores of 40 students are listed below. Find Ps6 Find the percentile for the test score of 66. 30 35 43 44 47 48 54 55 56 57 59 62 63 65 66 68 69 69 71 72 72 73 74 76 77 77 78 79 80 81 81 82 83 85 89 92 93 94 97 98

Please show all work step by step. thank you!

Answer 1

11) The grades in the regular test for the student is 84, 78, 84 and 72. Her average regular grade is 84 + 78 +84 +12 = 79.5, 4 Given that she earned grade of 18 in final exam, 86 in her class project and 87 in her home work Now, Her weighted mean? = average regular) + (Penal exam exam) + (Project grade grade x 40% it Home work gradex of (gradex 30% grade x 10% radex 3cm = 79.5 X 40 100 + 78 X 30 10o + 86 x (0 +8jx 30 Too 100 31.8 + 23.4 + 8.6 + 17•4 = th P 56 100 SJON 81.2 2) Given a test scores of 40 students we have to find 56 Percentile. i.e., So we have to calculate inde e é = K (nti) where i is the kth percentile of given n.data. Here K=56 and.n=40 56 (40+1) - 22.96 ~ 23 100 Since the scores in given is the order 74 and 22 Score is 73° ien i93 = 74 and ina = 73 igztina end score are nd Hence Pro 74 + 73 = 73.5 2 2 X 100 Now, we have to find the percentile for the test score of 66 we know that percentile value of x = No. of values less than x of values Total. No. 14 x100 - 35. 40 The percentile for the test score of 66 is 35