[Answer] Data will be collected on the following variables. Which variable can be considered discrete?

Answer: The number of books a person finished reading last month

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Data will be collected on the following variables. Which variable can be considered discrete? In mathematics a variable may be continuous or discrete. If it can take on two particular real values such that it can also take on all real values between them (even values that are arbitrarily close together) the variable is continuous in that interval. If it can take on a value such that there is a non-infinitesimal gap on each side of it containing no values that the variable can take on then it is discrete around tha… In mathematics a variable may be continuous or discrete. If it can take on two particular real values such that it can also take on all real values between them (even values that are arbitrarily close together) the variable is continuous in that interval. If it can take on a value such that there is a non-infinitesimal gap on each side of it containing no values that the variable can take on then it is discrete around that value. In some contexts a variable can be discrete in some ranges of the number line and continuous in others. A continuous variable is one which can take on an uncountable set of values. For example a variable over a non-empty range of the real numbers is continuous if it can take on any value in that range. The reason is that any range of real numbers between ${\displaystyle a}$ and ${\displaystyle b}$ with ${\displaystyle a b\in \mathbb {R} ;a\neq b}$ A continuous variable is one which can take on an uncountable set of values. For example a variable over a non-empty range of the real numbers is continuous if it can take on any value in that range. The reason is that any range of real numbers between ${\displaystyle a}$ and ${\displaystyle b}$ with ${\displaystyle a b\in \mathbb {R} ;a\neq b}$ is infinite and uncountable. Methods of calculus are often used in problems in which the variables are continuous for example in continuous optimization problems. In statistical theory the probability distributions of continuous variables can be expressed in terms of probability density functions . In continuous-time dynamics the variable time is treated as continuous and the equation describing the evolution of some variable over time is a differential equation . The instantaneous rate of change is a well-defined concept. Random variables can be discrete that is taking any of a specified finite or countable list of values (having a countable range) endowed with a probability mass function that is characteristic of the random variable's probability distribution; or continuous taking any numerical value in an interval or collection of intervals (having an uncountable range) via a probability density function that is characteristic of the random … Dependent and independent variables are variables in mathematical modeling statistical modeling and experimental sciences.Dependent variables receive this name because in an experiment their values are studied under the supposition or hypothesis that they depend by some law or rule (e...

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