Final answer:
This family would be classified as having low food security, indicating limited availability and access to food, leading to compromised diets and reduced meal sizes.
Step-by-step explanation:
This family would be classified as having low food security. Food security is categorized into different levels based on an individual or household's ability to access sufficient and nutritious food. In this case, the father skipping meals and the mother eating very little indicate that the family is struggling to provide enough food for all its members. This aligns with the definition of low food security, where there is limited availability and access to food, leading to compromised diets and reduced meal sizes.