Distribution Characteristics Of Academic Achievement Test Scores In Senior High Schools

With the continuous advancement of college entrance examination refor m,the academic level examination of senior high school has been paid more and more attention.The examination results are not only closely related to the admission of colleges and universities in a college entrance examination but also one of the important evaluation indicators of education and teaching.Therefore,it is of practical significance to study the academic level examination of senior high schools.This paper makes an exploratory analysis of the central tendency,discrete tendency,and distribution pattern of academic achievement,and looks for the depiction of the interdependent structure of academic achievement and the embodiment of the characteristics of academic achievement ability.Concretely speaking,first of all,according to the dividing principle of the qualified line of academic level examination results,the qualified rate of each subject and the total qualified rate of all subject results are given.Secondly,it is assumed that the achievement of the academic proficiency examination is subject to the multivariate normal distribution,and the estimation of relevant parameters is given.On this basis,the relationship between the pass rate of each subject and the overall pass rate is discussed.Thirdly,from the perspective of non-parametric statistical distribution,this paper discusses the dependence structure of each subject and the relationship between the pass rate of each subject and the overall pass rate.Finally,with the help of the factor analysis model,this paper discusses the characteristics of students’ abilities reflected by their academic achievement.Through the analysis,the main conclusions are as follows:（1）The academic test scores of 2022 students are skewed: Chinese,mathematics,English,politics,information technology,chemistry,history,and geography are skewed to the left peak distribution,physics is flat to the right distribution,biology is flat to the left distribution.（2）According to the conventional pass mark of 60 points,The passing rates of Chinese,mathematics,English,ideology and politics,information technology,physics,chemistry,biology,history,and geography were 96.03%,81.70%,82.32%,92.21%,90.06%,56.38%,90.24,72.47%,93.93%,and 82.04%,respectively.The total pass rate of all courses was 40.07%.（3）According to the empirical data,normal distribution and non-parametric distribution,the score lines of each subject when the pass rate of 2022 students is 95% are estimated,and the total pass rate is 79.74%,67.42%,and 79.86%,respectively;For the total pass rate of all courses to reach 95%,the pass rate of a single subject should reach at least 99.034%.（4）Through the factor model of academic test scores,we find that academic scores basically reflect students’ qualities in humanistic quality,abstract thinking,scientific inquiry,and innovative practice.According to the conclusion,we suggest that :（1）the traditional test score analysis system based on normal distribution needs to be improved,and a more reasonable test score distribution model needs to be further explored;（2）Due to the interdependent structure of scores,the pass rate of the single subject must be improved to ensure the total pass rate of all scores;（3）Candidates need to strengthen the ability of humanistic quality,abstract thinking,scientific inquiry,and innovative practice,to improve the test scores.