Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Which variable, Final Exam Score or Project Score has greater variation of data?

ID: 3124272 • Letter: W

Question

Which variable, Final Exam Score or Project Score has greater variation of data? Which two numerical measures are best to offer this information? Choose the two numerical measures and use them to describe and compare the variation between the two variables. What does the variation tell you about student performance?

vvvvvvvvv Gender (1:female, 2:male) Age GPA SAT Score (0 - 1600) Year In School (1: freshman, 2:sophmore, 3:junior, 4:senior, 5: grad student) Class Section       (1: section1, 2:secion2, 3:section3, 4:section4) Hours spent on study per week (Range: 0 - 20) Final Exam Score     (0 - 100) Project Score (0 - 100) Political Orientation                                     ( from -3 to +3 ) NOTE: -3 is fully liberal, +3 is fully conservative, and 0 is fully moderate. 718027 1 27 2.33 630 3 2 6.0 75 59 -1 791694 1 33 3.14 855 4 1 12.0 89 69 0 761363 1 31 3.40 1055 5 1 7.0 75 74 2 735607 1 28 3.52 1125 5 1 14.0 90 68 3 724861 1 27 3.12 990 3 1 9.0 89 80 3 773174 1 32 3.02 1004 5 1 13.0 87 76 1 781530 1 26 2.83 935 3 2 11.0 94 83 -2 731316 1 27 2.52 648 3 2 8.0 81 78 1 734953 1 33 2.64 747 1 1 4.0 45 44 0 764779 1 25 3.14 1076 5 3 14.0 89 68 0 781076 1 30 2.99 1006 3 1 5.0 85 75 -2 742612 1 24 3.35 1178 5 3 9.0 87 68 -2 754740 1 30 2.77 765 4 3 12.0 96 83 0 714150 1 26 3.51 1296 4 2 20.0 97 77 -3 710145 1 30 3.00 1076 5 1 9.0 89 79 1 711050 1 26 1.60 450 1 1 2.0 53 48 1 791316 1 23 2.90 990 3 3 12.0 83 63 0 767689 2 26 2.25 1334 3 4 7.0 45 67 -1 758905 2 25 2.86 1383 4 2 9.0 54 79 2 725398 2 26 2.38 1194 1 2 8.0 51 71 -1 770432 2 23 2.25 1356 1 1 10.0 62 87 1 793296 2 17 2.44 1257 2 1 14.0 70 100 1 760608 2 27 2.56 1325 3 4 5.0 42 60 0 753457 2 28 3.00 1626 3 3 9.0 52 76 -1 775282 2 29 2.55 1308 5 1 13.0 59 89 -1 738785 2 23 3.00 1500 1 1 12.0 73 99 -1 711569 2 33 3.00 1868 1 2 15.0 75 90 -2 741697 2 28 2.49 1284 5 2 6.0 35 52 -1 786836 2 28 2.85 1568 5 3 15.0 65 79 -2 754301 2 30 2.88 1500 2 4 14.0 80 92 3 715986 2 30 2.92 1620 5 4 15.0 69 87 -3 797586 2 17 2.88 1620 3 2 15.0 66 75 1 783975 2 24 2.63 1779 4 4 11.0 74 90 2 722767 2 25 1.53 660 1 4 7.0 46 65 -2

Explanation / Answer

we can use mean and standard deviation to calculte the co eficinet of variation.

Comapring the Cv values, we see that Project scores have lesser variation. This tells us that the performance of students has a greater variation than in project work.

Descriptive statistics Final Exam Score     (0 - 100) count 34 mean 71.24 sample variance 313.88 sample standard deviation 17.72 minimum 35 maximum 97 range 62 skewness -0.39 kurtosis -1.03 coefficient of variation (CV) 24.87%