Psychology allows society to understand the feelings of others and be able to help communicate with them better due to this. By knowing why someone behaves a certain way we can help them with their problems and make society better and the world a better place.
They benefit society by treating patients and raising awareness of health related issues. They conduct research by examining healthy people and use what they learn to help others achieve the same. One subfield includes developmental psychology which is the study of how people grow and change over time.
If the woman wants to find a patern of ovulation, all she needs to do is acknowledge the date of her period each month until she finds some sort of consistency.