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 Mean 54.96 Standard Error 3.149735 Standard Error 2.830585 Median 50 Median 58 Mode 80 Mode 65 Standard Deviation 21.12906 Standard Deviation 20.01526 Sample Variance 446.4374 Sample Variance 400.6106 Kurtosis -0.98525 Kurtosis -0.5777 Skewness -0.03522 Skewness -0.48904 Range 75 Range 78 Minimum 15 Minimum 10 Maximum 90 Maximum 88 Sum 2452 Sum 2748 Count 45 Count 50 (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.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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	Mean	54.96
Standard Error	3.149735	Standard Error	2.830585
Median	50	Median	58
Mode	80	Mode	65
Standard Deviation	21.12906	Standard Deviation	20.01526
Sample Variance	446.4374	Sample Variance	400.6106
Kurtosis	-0.98525	Kurtosis	-0.5777
Skewness	-0.03522	Skewness	-0.48904
Range	75	Range	78
Minimum	15	Minimum	10
Maximum	90	Maximum	88
Sum	2452	Sum	2748
Count	45	Count	50

(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.

Definition Definition Measure of central tendency that is the value that occurs most frequently in a data set. A data set may have more than one mode if multiple categories repeat an equal number of times. For example, in a data set with five item—3, 5, 5, 29, 473—the mode is 5 because it occurs twice and no other value occurs more than once. On a histogram or bar chart, the element with the highest bar represents the mode. Therefore, the mode is sometimes considered the most popular option. The mode is useful for nominal or categorical data (e.g., the most common color car that users purchase), but it is problematic for continuous data because it is more likely not to have any value that is more frequent than the other.

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