RSCH FPX 7864 Assessment 1 Descriptive Statistics

Descriptive Statistics

RSCH FPX 7864 Assessment 1:Lower Division

Histogram 49 shows the final test effect distribution for a group of 49 experimenters with a lower division, which shows the relationship between their score and the corresponding score. The results of the test act as independent variables, while the lower partition acts as an order-dependent variable. Data shows that two scholars scored between 40 and 45, while three scholars got a score between 45 and 50. In addition, seven scholars fell within 55 to 60 areas, and eight scholars scored between 50 and 55. The most posterior score is between 60 and 65, where twelve learners scored. 

A distant analysis suggests that seven learned scored between 65 and 70, while ten learned scored 70 to 75. The attention to the score in the advanced area suggests that numerous scholars performed well in their final assessment (Yañcı, 2022). With the largest number of scores (12) between 60 and 65, this area represents the most common performance position. The left-slanted distribution, where the longer tail extends toward the lower score range, indicates that a majority of scholars scored closer to the advanced end of the distribution (Liu et al., 2024). 

This observation is further vindicated by the median score (62.5) being slightly more advanced than the mean (61.469), which signifies that while most scholars performed well, a smaller subset attained significantly lower scores, thereby reducing the norm. Understanding this distribution pattern is essential for assessing performance trends among lower-division scholars and can help shape future test drug strategies. 

Upper Division

56 histograms showing the final test result for scholars in the upper divisions effectively show the relationship between the results of the test and the effigy performance orders. Data suggests that eleven scholars scored between 50 and 55, while twelve scholars fell within the 55 to 60 area. Also, fourteen scored between 60 and 65, indicating a solid understanding of the course material. 

A close check suggests that thirteen scholars scored between 65 and 70, representing a strong performance, while six experimenters have been better by scoring between 70 and 75. The stylish focus for scholars is seen in 60 to 65 areas and shows that their results were entered in this interval (Dhal et al., 2020). 

The histogram exhibits a bell-shaped wind, suggesting a normal distribution, with a peak frequency at the center and a gradual drop at both axes. The calculated average score of 62.161 aligns nearly with the median score of 62.5, buttressing the notion of a generally distributed dataset. The harmony of the distribution, along with the alignment of the mean and standard, indicates that pupil performance follows a typical bell-wind pattern, with most scholars scoring within the middle range and lower scholars deposited at the axes. 

Data Set Interpretation

The GPA distribution exhibits skewness values ranging from -0.220 to 0.220, suggesting a slight negative skew. This minor leftward skew implies that lower GPA values are hardly more current but not to a significant extent. The kurtosis values, ranging from -0.688 to 0.688, indicate that the distribution is flatter than a normal wind, meaning that GPA values are more dispersed rather than tightly concentrated around the mean (Jammalamadaka et al., 2020). 

Despite these small diversions from perfect normality, the skewness and kurtosis values remain within the respectable range for normality, generally considered -1 to 1 for skewness and -2 to 2 for kurtosis. This suggests that the GPA distribution is roughly normal, with only slight asymmetry and a fairly flat shape. These beliefs are precious to accept GPA trends, indicating that indeed if distribution isn’t normal, it remains within respectable statistical boundaries. 

For Quiz 3, the distribution of the distribution is negative, which reflects a slight difference in the dataset, from 0.078 to 0.078. In addition, the kurtosis value, which varies from -0.149 to 0.149, indicates that the delivery is slightly more advanced than a standard normal air. While these variations are minimal, the distribution still corresponds to a large extent. The movement and ketosis values live within the standard limit for normal conditions (-oblique for kurtosis and 2 to 2 to 1), given that the delivery maintains a general normal size (Mohammad et al., 2020). 

Although the distribution shows a normal variation from a general size, the combined oblique and kurtosis analysis gives a deep understanding of the general parcels of the data set. These statistical points are important to determine whether the data is harmonious with the possibility of a normal status, which is necessary for accurate computer interpretation and analysis. 

 RSCH FPX 7864 Assessment 1 Descriptive Statistics

Mohammed, M. B., Adam, M. B., Ali, N., & Zulkafli, H. S. (2020). Improved frequency table’s measures of skewness and kurtosis with application to weather data. Communications in Statistics – Theory and Methods, 1–18. https://doi.org/10.1080/03610926.2020.1752386

Yağcı, M. (2022). Educational data mining: Prediction of students’ academic performance using machine learning algorithms. Smart Learning Environments, 9(1). https://doi.org/10.1186/s40561-022-00192-z