Abstract: This article aimed to determine whether arithmetic operations, algebraic concepts, and problem-solving skills are related to students’ success in data analysis, probability problem-solving, and statistical reasoning. This research offered reinforcement activities to help improve students’ abilities in Statistics and Probability. Test questionnaires assessed the performances of two hundred twenty-seven (227) Grade 11 Senior High School students in both basic mathematics and statistics and probability. Some mathematics teachers validated the results. The findings show that students are at the right age to learn Statistics and Probability subjects. There is a nearly equal distribution of male and female students, with a slight majority being female. However, the study found no significant link between students’ age and their scores in basic mathematics, statistics, or probability. Both younger and older students performed similarly. In contrast, there is a significant relationship between sex and performance in arithmetic operations within basic mathematics. Male students tend to perform better than female students in this area. Additionally, regression analyses show that arithmetic operations significantly predict performance in statistics and probability, while algebraic concepts are mostly significant for probability problem-solving. Meanwhile, problem-solving skills are the strongest predictor for both probability problem-solving and statistical reasoning. To enhance students’ statistical literacy and data-driven skills, the study proposes various reinforcement activities. These activities can help improve teaching methods, strategies, and techniques for learning statistics and probability. The researcher recommends that mathematics teachers adopt these reinforcement activities, which can lead to better practices in teaching mathematics. Finally, the researcher suggests further recommendations to develop knowledge and skills in higher mathematics, like statistics and probability.
Keywords: basic mathematics, statistics and probability, performance, problem-solving, reinforcement activities.
Title: Predictive Validity of Basic Mathematics with Statistics and Probability Performance of Grade 11 Senior High School Students
Author: Archie Valencia Mateo
International Journal of Mathematics and Physical Sciences Research
ISSN 2348-5736 (Online)
Vol. 13, Issue 1, April 2025 - September 2025
Page No: 85-95
Research Publish Journals
Website: www.researchpublish.com
Published Date: 10-July-2025
