A researcher records the weights (in kilograms) of dogs at an animal shelter: $7$, $12$, $9$, $15$, $11$, $8$, $14$, $10$, $13$, $16$. Are these data qualitative or quantitative, and what is the level of measurement? Provide your reasoning.

Type of data: Qualitative

Level of measurement: Nominal

Because the weights are labels used to identify different dogs

Type of data: Quantitative

Level of measurement: Ordinal

Because the weights can be ranked, but the differences between values are not meaningful

Type of data: Quantitative

Level of measurement: Ratio

Because the data are numeric, differences and ratios are meaningful, and zero represents the absence of weight

Type of data: Qualitative

Level of measurement: Ordinal

Because the weights are categories with an implied order