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SUPPOSE WE study the CONTINUOUS VARIABLE: "REPAIR TIME of A machine, in MINUTES". where the POPULATION average IS 135MIN. A SAMPLE of 20 OBSERVATIONS of THAT VARIABLE IS TAKEN. IS possible for the SAMPLE MEAN TO BE EXACTLY EQUAL TO 135MIN?
shirley mogollon
Yes, it is possible for the sample mean to be exactly equal to 135 minutes. This is because the sample mean is calculated by dividing the sum of all the observations by the number of observations. Therefore, if the sum of all the observations is exactly equal to 2700 minutes (135 times 20), the sample mean would be 135 minutes. However, this is highly unlikely to happen.
David Denton
Nathan Mercurey
yes
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If a variable has possible values -2 6 and 17 then this variable is?
If a variable has possible values -2 6 and 17 then this variable is an Integer.
What would -2 standard deviation below the mean be?
It would mean that the result was 2 standard deviations above the mean. Depending on the distribution of the variable, it may be possible to attach a probability to this, or more extreme, observations.It would mean that the result was 2 standard deviations above the mean. Depending on the distribution of the variable, it may be possible to attach a probability to this, or more extreme, observations.It would mean that the result was 2 standard deviations above the mean. Depending on the distribution of the variable, it may be possible to attach a probability to this, or more extreme, observations.It would mean that the result was 2 standard deviations above the mean. Depending on the distribution of the variable, it may be possible to attach a probability to this, or more extreme, observations.
What is the difference among non-orderable discrete orderable discrete continuous variables?
A non-orderable discrete variable is usually one for which the information that is recorded can only have a finite number of qualitative outcomes and that there is no relevant ordering of these outcomes. One example might be favourite fruit. Although the responses can be ordered alphabetically, or by mass of typical specimen, these are not relevant ordering schemes. An orderable discrete variable is one in which there is a relevant basis for ordering the outcomes. An example might be shoe sizes which, in the UK, go ... 6.5, 7, 7.5, 8, 8.5, 9, ... .The ordering reflects how large the shoe is. A continuous variable is one which can take any possible value in the permitted range. A typical example is a person's height. Even though in recording the variable becomes discretised (eg 5ft 10" or 176 cm), the underlying variable is continuous.
What is a continuous random variable?
In the simplest setting, a continuous random variable is one that can assume any value on some interval of the real numbers. For example, a uniform random variable is often defined on the unit interval [0,1], which means that this random variable could assume any value between 0 and 1, including 0 and 1. Some possibilities would be 1/3, 0.3214, pi/4, e/5, and so on ... in other words, any of the numbers in that interval. As another example, a normal random variable can assume any value between -infinity and +infinity (another interval). Most of these values would be extremely unlikely to occur but they would be possible. The random variable could assume values of 3, -10000, pi, 1000*pi, e*e, ... any possible value in the real numbers. It is also possible to define continue random variables that assume values on the entire (x,y) plane, or just on the circumference of a circle, or anywhere that you can imagine that is essentially equivalent (in some sense) to pieces of a real line.
Is a mass of something a continuous or discrete variable?
Mass is a continuous variable. It's the measure of resistance an object has to changing its velocity and can be any positive value. Compare to discrete variables which are only whole numbers. For example, on Earth a bag of flour with a mass of 1.5 kilograms weighs 14.709975 newtons, both of which are continuous variables. It is only 1 bag of flour though, which is a discrete variable. To extend the consideration, while the 1 bag could be cut in half, there would then be 2 bags (2 half-bags, 2 bag halves) each with .75 kg of flour. It could be said that generally things that are measured (time, distance, height, weight) are continuous and generally things that are counted (people, cars, cups, bags) are discrete. It's possible to linguistically muddle the distinction though.
What is the difference between continuous and discontinuous and discrete variables?
A continuous variable is a variable for which all possible representations are valid. A discrete variable is a variable for which only some representations are valid. Discontinuous variables apply to data sets where values recorded during particular periods are missing from the set.
What are some facts about independent and dependent variable?
An independent variable is a variable which, in the context of the experiment or the observations, can affect the dependent variable but is not affected by it. By contrast, the dependent variable is affected by changes in the independent variable. It is quite possible that there is no independent variable, as such, and each variable affects the other.
Is the variable is discrete or continuous the number of keys on each student's key chain?
A random variable such as the number of keys on each student's key chain is discrete because you can list the possible values it can assume. If it was continuous one would not be list a continuous random variable because it would be impossible. The keys on the key chains would be discrete.
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.
How many possible outcomes for normal distribution?
Infinitely many. The normal distribution is applicable to a continuous variable whose domain is the whole of the real numbers. Infinitely many. The normal distribution is applicable to a continuous variable whose domain is the whole of the real numbers. Infinitely many. The normal distribution is applicable to a continuous variable whose domain is the whole of the real numbers. Infinitely many. The normal distribution is applicable to a continuous variable whose domain is the whole of the real numbers.
Is the set of all possible outcomes always finite?
No. If the variable is continuous, for example, height or mass of something, or time interval, then the set of possible outcomes is infinite.
What does define mean in math terms?
The mean is sometimes also known as the arithmetic average. For a finite number of observations, it is he sum of their values divided by the total number. It can also be described as the expected value of a variable. If a discrete numerical variable X can take the values x, then the mean is the sum [x*pr(X = x)] where the summation is over all possible values of x. For a continuous variable, replace the summation by integration.
What are some characteristics of probability?
It is a real number. It cannot be negative. The sum of the probabilities of all possible outcomes of a discrete variable is 1. Similarly, the integral of the probabilities over the whole range of possible outcomes of a continuous variable is 1.
Difference between discrete and continuous?
A continuous variable is one that can take any value within an interval (or a set of intervals). A discrete variable is one that can only take certain values.Some further notes:* Often a discrete variable takes integer values, but that is not necessary.* Neither discrete nor continuous variables need be limited to a finite number of possible values.* Frequently, continuous variables are continuous only in principle, and the measuring instruments or recording make them discrete. Eg your height is continuous but as soon as it is recorded as 1.75 cm or 5'9", it is made discrete.
What is a discontinuous variable?
A discontinuous variable is a variable that has distinct categories. Blood type is a good example. You could be A, B, AB or O. This contrasts with a continuous variable such as height or weight, where there are an almost infinite number of possible values. Data for discontinuous variables is usually represented using a bar graph or pie chart, but never a scatter graph.
What comes after 180 in degrees from geometry?
The measure of angles is a continuous variable, so the answer would be 180 plus the tiniest amount possible (or even a smaller amount than that!).
If a variable has possible values -2 6 and 17 then this variable is?
If a variable has possible values -2 6 and 17 then this variable is an Integer.
