Hi,
I can be wrong but it does not matter if it says "nearest Kg" or "nearest cm" it would still be continuous. As the person earlier said Discrete is counting. In this case you are measuring someone weight thus it has to still be continuous does not matter if it is full number or in decimal.
As I posted above earlier, classifications of data is relative to how the data is recorded. Statements like "weight and height are always continuous because you measure it" are misleading. The same quantity / variable can be any of the four types, depending on
how it is measured / or how the data is recorded. I suppose the only thing that could be said is that weight / height / distance are continuous
if no information about how they are recorded is given, then perhaps it might be implied that they are being recorded in the most precise way possible.
For instance, take distance.
(1) If measured in cm with infinite precision - ie, if conceivably you could record a value of 3.1415926... - then it is continuous.
(2) If measured in cm but rounded to the nearest whole number - ie. only numbers like 2, 6, 11, 13 etc are recorded in your data - then it is discrete.
(3) If recorded as "really short", "short", "long", "really long" then it is categorical ordinal.
(4) Silly example, but if recorded as "exhausting" "fun" "satisfying", then it is categorical nominal.
VCAA exam questions will always specify how the data is recorded.
A good example of this is 2017 Exam 1, Question 7, where students had to classify the variable
number of moths, which is being recorded as "less than 250", "250-500", or "more than 500". 36% of students incorrectly classified this as numerical when in fact it is ordinal (the possible data values "less than 250", "250-500", or "more than 500" are not numerical values, they are categories with an implied ranking).