For simplicity, suppose there are ve students in a class. Suppose the scores of these students on three tests are as follows. Student Test 1 Test 2 Test 3 A 80 84 94 B 84 86 88 C 76 "1'4 84 D 86 82 7'8 E 94 96 88 (a) Write a 5 X 3 matrix A to represent the information. . 1 _ What Is 3(all + 312 + 313)? (Round your answer to one deCImal place.) What does this quantityr represent? 0 average test scores for the second test 0 average test scores for the rst, second, and third tests 0 student A's average test score 0 student E's average test score 0 the class's average test score for all tests '3 (c) What are 312' 322, 332, 342, and .352. 512 = 522 : l:l l:l a32=l:l a42:l:l l:l 552 1 What is Eben + 322 + a32 + 542 + 352)? What does this quantityr represent? 0 average test scores for the second test 0 average test scores for the rst, second, and third tests 0 student A's average test score O student E's average test score 0 the class's average test score for all tests (d) what is the average score of student E based on the three tests? (Round your answer to one decimal place.) E (e) What is the average score of the five students for the third test? E