When do we use discrete, continuous, nominal, ordinal?
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simply put: example - reading a temperature at a city.
Nominal - when you can right-away talk about the possibility. (not probability) - dead/alive, red/blue/yellow, whole numbers - basic building blocks of information deciphering.
ex: it is 30 degrees today - enough to convey that it is hot today.
Ordinal - when you need much more information than just a single value. Adds additional value to the observation - kind of (but not exactly) quantifies a value in an ORDER.
Small, Medium, Large - we are able to know the differences and it quantified the observation as S,M,L - but, to what level? is (medium vs large) is same as (small vs medium). Rankings: 1,2,3 in a race (numbers add some value)
ex: it is 35 degrees today - 5 degrees more than Yesterday - so we need at-least 2 observations for this to work and to put things in ORDER.
Continuous - Anything you perceive is analog in nature - unless you limit your perception and say - ‘oh this level of detail is enough for me to get the work done’ which brings us into Discrete world.
ex: temperature is actually 30.51, 30.52, 30.53, 30.54….. degrees (within nano seconds time change) - do we really need to report them at all places in time?
Time or anything can be broken down into infinite small chunks - where can we limit it so that the some detail is lost but not the context.
machines say : ‘let us measure temperate at every 5 min INTERVALS’
News channels say: ‘let us average the temperate to 24 hour INTERVALS’