What is discrete random variable and continuous random variable?

"A discrete variable is one that can take on finitely many, or countably infinitely many values", whereas a continuous random variable is one that is not discrete, i.e. "can take on uncountably infinitely many values", such as a spectrum of real numbers. Your Pythagorean X is a good example.

What is difference between a discrete random variable and continuous random variable?

A discrete variable is a variable whose value is obtained by counting. A continuous variable is a variable whose value is obtained by measuring. A random variable is a variable whose value is a numerical outcome of a random phenomenon. A discrete random variable X has a countable number of possible values.

What is a continuous random variable?

Continuous random variables describe outcomes in probabilistic situations where the possible values some quantity can take form a continuum, which is often (but not always) the entire set of real numbers R. They are the generalization of discrete random variables to uncountably infinite sets of possible outcomes.

What are examples of continuous random variables?

A continuous random variable is one which takes an infinite number of possible values. Continuous random variables are usually measurements. Examples include height, weight, the amount of sugar in an orange, the time required to run a mile. A continuous random variable is not defined at specific values.

Which is a discrete random variable?

A discrete random variable can take only a finite number of distinct values such as 0, 1, 2, 3, 4, … and so on. The probability distribution of a random variable has a list of probabilities compared with each of its possible values known as probability mass function.

Discrete and continuous random variables | Probability and Statistics | Khan Academy

Is age a discrete or continuous?

Is Age Discrete or Continuous? Technically speaking, age is a continuous variable because it can take on any value with any number of decimal places.

How do you know if it is discrete or continuous?

The key differences are: Discrete data is the type of data that has clear spaces between values. Continuous data is data that falls in a constant sequence. Discrete data is countable while continuous — measurable.

Which of the following is an example of a discrete variable?

The answer is the gender of each student in a psychology class is an example of a discrete variable.

What is the difference between the two types of random variables?

Random variables are classified into discrete and continuous variables. The main difference between the two categories is the type of possible values that each variable can take. In addition, the type of (random) variable implies the particular method of finding a probability distribution function.

What are the two main types of random variables?

What is discrete variable in statistics?

Discrete variables are numeric variables that have a countable number of values between any two values. A discrete variable is always numeric. For example, the number of customer complaints or the number of flaws or defects.

What is continuous data?

Continuous data is data that can take any value. Height, weight, temperature and length are all examples of continuous data. Some continuous data will change over time; the weight of a baby in its first year or the temperature in a room throughout the day.

What are 5 examples of discrete data?

Is salary discrete or continuous?

For example, salary levels and performance classifications are discrete variables, whereas height and weight are continuous variables.

What is different between discrete and continuous?

Discrete data is a numerical type of data that includes whole, concrete numbers with specific and fixed data values determined by counting. Continuous data includes complex numbers and varying data values that are measured over a specific time interval.

What is the difference between discrete and continuous functions?

Let's review. A discrete function is a function with distinct and separate values. A continuous function, on the other hand, is a function that can take on any number within a certain interval. Discrete functions have scatter plots as graphs and continuous functions have lines or curves as graphs.

Is height a discrete variable?

Although there is now a very large range of values XN can take, it is still a discrete random variable as those 6 billion discrete values are the only values of XN that can occur. Therefore, heights of humans is actually a discrete random variable and not a continuous random variable?

Is education a continuous variable?

However, educational attainment is not a discrete variable but a continuous one, and the aggregation into different groups may result in a loss of information, thus introducing a potential source of measurement error.

Is blood pressure continuous or discrete?

Is blood pressure an example of continuous or discrete data? Blood pressure is an example of continuous data. Blood pressure can be measured to as many decimals as the measuring instrument allows.

What is continuous variable in research?

Continuous variables are variables that can take on any value within a range. Continuous variables are also considered metric or quantitative variables, where the variable can have an infinite number or value between two given points.

Is time continuous or discrete?

Time is a continuous variable. You could turn age into a discrete variable and then you could count it. For example: A person's age in years.

Is temperature discrete or continuous?

Temperature is continuous variable as it does have fractional value too. For example: Today's temperature is 30. 5 degree Celsius, here 30. 5 is not a discrete variable and hence is a continuous variable.

What is discrete data in maths?

discrete data - numerical data that can only take certain values, for example, the number of children in a classroom or a shoe size. continuous data - numerical data that can take any value within a given range, for example, the masses of 10 babies or the heights of some adults.