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. The table below shows the Excel Report using Descriptive Analysis from the data collected.
2019 Jul
2020 Jul
Mean
54.48889
54.96
Standard Error
3.149735
2.830585
Median
50
58
Mode
80
65
Standard Deviation
21.12906
20.01526
Sample Variance
446.4374
400.6106
Kurtosis
-0.98525
-0.5777
Skewness
-0.03522
-0.48904
Range
75
78
Minimum
15
10
Maximum
90
88
Sum
2452
2748
Count
45
(a) Describe three (3) measures of location and three (3) measures of dispersion. State the values of these measures for both classes.
(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.
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