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What is a continuous variable?
A continuous variable is one that can assume different values between each point. Put as an example (e.g when looking at height) one can assume a height of 178, 178.1, 178.2. . . 178.9. Thus continuous variables can be used when looking at time or length for example. Continuous variables will differ from discrete variables which assume a fixed value for example number of times you take a shower, how many cars you have or how many kids in a family. Values can not be specified as decimals (e.g. you can not have 1.2 cars or 2.7 kids in a family).
Difference between continuous and discrete variables?
Continuous variable is one like temperature, and discrete variable are ones like male and female. So if you are looking at temperatures between 90 and 100 degrees, there is an infinite number of them. Say between 99 and 99.1, we have 99.05 and between that and 99 we have 99.005 etc. The variable is continuous because it can take on any value between 90 and 100. But if you are talking about gender, than it is either male of female and not continuous. Having said all this, now we define a continuous variable A continuous is one for which, within the limits the variable ranges, any value is possible. So what about time? If the variable is how long it take to read this answer, is that discrete? NO, it is continuous. A five point scale is an example of a discrete variable.
What is continuous variate?
A variable defined on a continuous interval as opposed to one that can take only discrete values.
Is data continuous if it can take on any value?
Yes.
What does take there sum mean?
It means to add. For example, if you are told to take the sum of 5 and 8, you would add them together.
