An education researcher wanted to examine whether there was a difference in academic performance between students who did face-to-face lessons and those who did online lessons.

To achieve this, he recorded the overall scores (upon 100%) of a class of 45 SUSS students who studied Statistics through face-to-face mode during the 2019 July semester. Similarly, he took the overall scores of another class of 50 students who studied Statistics through the online mode during the 2020 July semester.

2019 Jul 30 25 33 29 55 62 85 68 80 15 65 40 50 32 40 50 59 90 16 90 40 19 45 49 45 75 80 74 75 90 30 36 50 49 62 80 75 65 66 78 45 34 70 60 46

2020 Jul 35 23 56 60 66 77 85 64 65 88 74 22 36 50 64 55 81 66 49 68 56 63 32 41 53 23 46 77 55 33 78 65 84 32 13 63 33 44 55 77 65 10 70 46 20 50 66 70 65 79

(a) Describe three (3) measures of location and three (3) measures of dispersion. State the values of these measures for both classes. You are required to present the relevant Excel reports.

(b) Show three (3) statistical concerns on the approach used in the study. If you have a free hand to study this research question starting from data collection to analysis, illustrate how you would conduct the project.