As volume, it is continuous. Will lengths have the same ratio to one another as natural numbers? b) The distance from here to the Moon. Was it like a balloon being inflated? We do not need fractions for counting. a) A stack of coins Discrete. In other words, if we could keep dividing a quantity of water, then ultimately, in theory, we would come to one molecule.
But if we keep dividing a natural number -- e.g. Half a sentence is surely not also a sentence.
Now, half a chair is not also a chair; half a tree is not also a tree; and half an atom is surely not also an atom. Continuous.
e) A dozen eggs. 6 meters, which is a length, are continuous.
Half a name makes no sense. (Half a thought?). This distinction between what is continuous and what is discrete makes for two aspects of number; namely number as discrete units -- the natural numbers -- and number as the measure of things that are. That means that as we go from A to B, the line "continues" without a break. If we divided that, it would not be water any more! A discrete unit is indivisible, in the sense that if it is divided, then what results will not be that unit -- it will not have that same name -- any more. p) Thoughts. Is one length necessarily a multiple of the other, a part of it, or parts of it? Discrete data is graphically represented by bar graph whereas a histogram is used to represent continuous data graphically.
Since the length AB is continuous, not only could we take half of it, we could take any part we please -- a tenth, a hundredth, or a billionth -- because AB is not composed of indivisible units. As a form, a sphere is discrete. Continuous data is data that falls in a continuous sequence.
Discrete data is countable while continuous data is measurable. Example: the number of students in a class.
m) The changing shape of a balloon as it's being inflated. Continuous data is data that falls in a continuous sequence.
But as a form, a circle is discrete; half a circle is not also a circle.
We can imagine half of that distance, or a third, or a fourth, and so on.
Discrete. (Half a thought?). That is why, when we do something with discrete and continuous data, actually we do something with numerical data. What do you think? This distinction between what is continuous and what is discrete makes for two aspects of number; namely number as discrete units -- the natural numbers -- and number as the measure of things that are. Which of these is continuous and which is discrete? That gives rise to the fractions, which are the parts of number 1. Or was each new form discrete? A discrete unit is indivisible, in the sense that if it is divided, then what results will not be that unit -- it will not have that same name -- any more. The speed is changing continuously. Common examples are variables that must be integers, non-negative integers, positive integers, or only the integers 0 and 1. l) The acceleration of a car as it goes from 0 to 60 mph. Half a name makes no sense. continuous.
It can take only distinct or separate values. But as a form, a circle is discrete; half a circle is not also a circle. In a graph of the discrete function, it shows distinct point which remains unconnected. What is more, a collection of discrete units will have only certain parts (Lesson 1). Some analyses can use discrete and continuous data at the same time. b) The distance from here to the Moon.
Half a chair is not also a chair, half a tree is not also a tree, and half an atom is surely not also an atom. Or was each new form discrete? Our idea of time, like our idea of distance, is that there is no smallest unit. One person, two, three, four, and so on. Our idea of time, like our idea of distance, is that there is no smallest unit. Discrete data contains distinct or separate values. If we divided that, it would not be water any more! d) Applesauce. Half a person is not also a person. is done for discrete data. And Numerical Data can be Discrete or Continuous: Discrete data is counted, Continuous data is measured . However, these two statistical terms are diametrically opposite to one another in the sense that the discrete variable is the variable with the well-defined number of permitted values whereas a continuous variable is a variable that can contain all the possible values between two numbers. Our idea of time, like our idea of distance, is that there is no smallest unit. As opposed to, non-overlapping or mutually inclusive classification like 10-19,20-29,…., etc. What is more, a collection of discrete units will have only certain parts. Tabulation of discrete data, done against a single value, is called as an ungrouped frequency distribution. Continuous.
We need them for measuring; for assigning a number as the size of something that is continuous. That distance is not.
s done for continuous data.
It is not a number of anything.
Continuous. We imagine that we could take any part. Discrete. We say instead that it is a continuous whole.
You cannot take a third of them.
That is it is finite. By and large, both discrete and continuous variable can be qualitative and quantitative. Discrete.
There is nothing to count. m) The changing shape of a balloon as it's being inflated. Discrete.
a) Into which parts could 6 pencils be divided? That distance is not. Discrete data is the type of data that has clear spaces between values. We say instead that it is a continuous whole. A NATURAL NUMBER is a collection of indivisible ones. The shape is changing continuously. e) A dozen eggs.
There is no limit to the smallness of the differences between shapes. A discrete set is something that can be counted. Half a sentence is surely not also a sentence. And most important, any part of AB, however small, will still be a length. c) A bag of apples.
Continuous. We can imagine half of that distance, or a third, or a fourth, and so on. Discrete.
Problem 2. What is continuous has no limit to smallness. A chair, a tree and an atom are examples of a discrete unit. Any parts. The speed is changing continuously. a) Into which parts could 6 pencils be divided? Discrete data is countable while continuous data is measurable.
Continuous! As volume, it is continuous. Discrete.
d) Applesauce. Please make a donation to keep TheMathPage online.Even $1 will help. A chair, a tree and an atom are examples of a discrete unit. Unlike, continuous function graph, the points are connected with an unbroken line. That means that as we go from A to B, the line "continues" without a break. But consider the distance between A and B. It is not a number of anything. Discrete. Since the length AB is continuous, not only could we take half of it, we could take any part we please -- a tenth, a hundredth, or a billionth.
On the other hand, continuous data includes any value within range.
Ten people can be divided only in half, fifths, and tenths. For instance, whether you tracked the mileage over 1 hour of driving, 1 year, or for infinity, with a large enough graph, you could draw the line to graph the mileage over time without lifting your pen off of the sheet of paper. S k i l l Was it like a balloon being inflated?
f) 60 minutes.
What exactly is the difference? This gives rise to the "fractions." In contrast, a discrete variable over a particular range of real values is one for which, for any value in the range that the variable is permitted to take on, there is a positive minimum distance to the nearest other permissible value.
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