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Below is a list of numerical variables from an annual survey ofuniversity students. Numerical variables can be classified asdiscrete or continuous. Which variable i...

Question

Below is a list of numerical variables from an annual survey ofuniversity students. Numerical variables can be classified asdiscrete or continuous. Which variable is discrete?A. Commuting distance to university (inkilometres)B. Total cost of textbooksC. Annual tuition feesD. Monthly rent for studentaccommodationE. Number of textbooks purchased

Below is a list of numerical variables from an annual survey of university students. Numerical variables can be classified as discrete or continuous. Which variable is discrete? A. Commuting distance to university (in kilometres) B. Total cost of textbooks C. Annual tuition fees D. Monthly rent for student accommodation E. Number of textbooks purchased



Answers

Select 10 students currently enrolled at your college and collect data for these three variables: $\mathrm{X}:$ number of courses enrolled in Y: total cost of textbooks and supplies for courses $\mathrm{Z}:$ method of payment used for textbooks and supplies a. What is the population? b. Is the population finite or infinite? c. What is the sample? d. Classify the three variables as nominal, ordinal, discrete, or continuous.

Which in two, um, question A. I will choose continues, since the speed can take this event values, which is being, I will choose discreet, since the age is a Boston integer, which in C I will choose discrete senses the number off books or comes which, indeed I will choose continues this sense of the way it can take on this image values coaching E. I will choose this creek, since the number off lightning strides are counts.

Problem. One, uh, discreet friend and variable are restricted to define separate values or example, integers or or counts, and that continues from them valuable. So this is the district, and the continuous front and valuable are not restricted to define separate values but can, uh, value over a continuous range. For example, listen a rational number or or re number? So four point A. I went to use discrete since the number off traffic. If activities are pounds for kitchen B, I choose continuous, since the distance can take on the similar values, which in a scene I chose continuous since the time can take on this male values, which indeed I choose discreet. Since the number of chips are cows, kitchen E I choose continues sense in the way it can take any decision values.

Here on this problem. We've been given a list, a list of given values we won't identify if it is a street random, variable, continuous, random variable. We're not a random variable it all now on A. We have grades of A, B, C, D, E and F. Now, because there are accountable number of values that it can take on that tells us that this has to be discreet. A discreet, random variable is whenever it can take on accountable number of values and then a continuous random variable, because whenever it could take on an infinite number of value, right on B, we have the heights of students. Well, your students height, even if they're pretty close, will never be exactly the same. And so because that can vary infinitely, that is what is called a continuous random variable. And so be is a continuous random verb. C says the numbers of students in statistics classes well, this is still going to be accountable. The number of students and you'll never have a fractional number of students, and so you'll go from 20 to 21 students. And so because they're not an infinite and uncountable number of students. This means this is discreet on DE. We have eye colors of statistics students. Hi colors. Now the number of students with a certain eye color would be a random variable. But just the eye colors themselves is not a random verbal, not on the the number of Times statistic. Students must toss a point before getting heads again. That is accountable number, and so it means that is discreet.

In this problem. We want to identify whether each variables discrete or continuous, um, generally continuous means that can take on decimal values, any type of decimal values. Eso this will relate. Teoh measurements and ah, discrete data will be related to counting where they cannot take on, um, all the numbers in the real number system so important when we're talking about population, that will be a discreet number because we can't have half a person. Ah, part B, the weight of an ivy math exam based on the weight, it is a measurement. So this is, um, continuous the import. See the time that it takes to market exam that is continuous because it could come down to the millisecond or some even smaller unit of time parte de the number of customers That will be discreet because again, you can have half or 1/4 of a person and party the time again. So that's a measurement that's continuous. And in part f the amount of sugar used again. This is a measurement, so you could technically measure it down to the exact on a number of grain. Uh, that's a amount of sugar that not weight of the sugar. So we say amount of sugar I'm going to see discreet because we're talking about how, really, how many sugar ah particles were taking. I guess they were talking about the weight than it would be continuous.


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