So A has the higher batting average in both halves of the season. Because people tend to average averages . People look for, and perceive, patterns in randomness. Pattern-finding is the essence of learning, and reflects a natural human need to make sense of the environment. But we are often misled by specious patterns.
Innumerate people are often victims of pseudo-science.
Pseudo-science tends to rely on hypotheses which are not falsifiable . Karl Popper criticized Freudianism for its immunity to falsification . People often misunderstand probabilities. You draw one from a hat and only look at one side. People can be misled by how questions are framed.