Fig. 1: Distribution of college entrance examination scores across three sample pairs.
From: Commensality and academic performance: measuring peer acceptance among college students

The violin plots visualize the distribution of college entrance examination scores for three pairs of sample groups over two semesters. Each plot shows the density and spread of scores within each group, with the central white dot representing the median and the thick black bar indicating the interquartile range. a compares the distribution of the subset (n0) that lacked first-semester transaction data with the full sample (N). Both groups display similar score distributions, suggesting that missing data in the first semester was random. b The comparison between students in the first semester (n1 = 2782) and the second semester (n2 = 3355) of the 2020–2021 academic year. The distributions are consistent, indicating stable academic performance across semesters. c The distributions after further refinement, excluding students without three defined peer categories. The sample sizes for the first (n3 = 2485) and second (n4 = 3007) semesters again show similar patterns, demonstrating uniformity in score distributions after adjusting for peer interaction criteria.