What Is An Example Of A Discrete Function?

by | Last updated on January 24, 2024

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Discrete functions are used for things that can be counted. For example,

the number of televisions or the number of puppies born

. The graph of discrete functions is usually a scatter plot with scattered points like the one you just saw.

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How do you know if a function is discrete?

If a function is discrete, it does not include all of the values between two given numbers, but rather

only specific values in a particular range

.

What are 5 examples of discrete data?

  • The number of students in a class.
  • The number of workers in a company.
  • The number of parts damaged during transportation.
  • Shoe sizes.
  • Number of languages an individual speaks.
  • The number of home runs in a baseball game.
  • The number of test questions you answered correctly.

What are 3 examples of discrete data?

Examples of discrete data include

the number of people in a class, test questions answered correctly, and home runs hit

. Tables, or information displayed in columns and rows, and graphs, or structured diagrams that display the relationship among variables using two axes, are two ways to display discrete data.

What does discrete function mean?

a discrete function is

one where a domain is countable

(this will be shown as a bunch of points that are not connected together) and which meets the requirement of a function (each input has at most one output). In discrete functions, many inputs will have no outputs.

What does discrete mean in math examples?

Definition: A set of data is said to be discrete if the values belonging to the set are distinct and separate (unconnected values). Examples: •

The height of a horse

(could be any value within the range of horse heights).

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. What is this? If you know someone’s birth date, you can calculate their exact age including years, months, weeks, days, hours, seconds, etc. so it’s possible to say that someone is 6.225549 years old.

What is best example for discrete data?

Discrete data Continuous data Some common examples of discrete data are the number of students, the number of children, the shoe size, and so on Some common examples of continuous data are height, weight, length, time, temperature, age, and so on

What are the types of discrete?

Discretely measured responses can be: Nominal (unordered) variables, e.g., gender, ethnic background, religious or political affiliation. Ordinal (ordered) variables, e.g., grade levels, income levels, school grades. Discrete interval variables with only a few values, e.g., number of times married.

What is an example of a discrete graph?

Discrete functions are used for things that can be counted. For example, the

number of televisions or the number of puppies born

. The graph of discrete functions is usually a scatter plot with scattered points like the one you just saw.

What is nominal data examples?

Examples of nominal data include

country, gender, race, hair color etc

. of a group of people, while that of ordinal data includes having a position in class as “First” or “Second”. Note that the nominal data examples are nouns, with no order to them while ordinal data examples come with a level of order.

What is an example of quantitative discrete data?

A discrete quantitative variable is one that can only take specific numeric values (rather than any value in an interval), but those numeric values have a clear quantitative interpretation. Examples of discrete quantitative variables are

number of needle punctures, number of pregnancies and number of hospitalizations

.

What’s a discrete data?

Discrete data is

a count that involves integers — only a limited number of values is possible

. This type of data cannot be subdivided into different parts. Discrete data includes discrete variables that are finite, numeric, countable, and non-negative integers.

What is an example of a discrete domain?

Discrete Domain

The values that will work for the function are distinct and separate from each other. For example,

the number of children you can have is a discrete answer

. You can have 0 or 1, 2, 3, etc. … A discrete domain will always be either a finite set of x-values or an infinite set of countable x-values.

How do you know if data is discrete or continuous?

Always look at the underlying nature of the data to determine if the data set is continuous or discrete. If the underlying data is discrete, then

the data should be considered as discrete

. Thus, ratio of two discrete numbers should be treated as discrete, for example, % of items fixed right the first time.

How do you know if a variable is discrete or continuous?

A discrete variable is a

variable whose value is obtained by counting

. A continuous variable is a variable whose value is obtained by measuring.

What are examples of discrete and continuous variables?

Discrete Variable Continuous Variable Examples: Number of planets around the Sun Number of students in a class Examples: Number of stars in the space Height or weight of the students in a particular class

Is eye color a discrete or continuous variable?


Discrete

data is organised in separate categories and is often presented in a bar chart. Examples of types of discrete data include: eye colour, hair colour, number of people in a shop, favourite chocolate bar. These values are distinct.

What’s a discrete number?

Discrete data is

information that can only take certain values

. These values don’t have to be whole numbers (a child might have a shoe size of 3.5 or a company may make a profit of £3456.25 for example) but they are fixed values – a child cannot have a shoe size of 3.72!

Is gender a discrete variable?

Variable Variable Type Variable Scale Gender Discrete Categorical Gender as Binary 1/0 Coding Discrete Categorical True/False Discrete Categorical Phone Number Discrete Nominal

Is height discrete variable?

A discrete variable is one that cannot take on all values within the limits of the variable. A variable such as a person’s height

can take on any value

. … Variables that can take on any value and therefore are not discrete are called continuous.

What is an example of a discrete data metric?

Discrete data is data such as occurrences, proportions, or characteristics (for example,

pass or fail

) and is counted (for example, the number or proportion of people waiting in a queue, or the number of defective items in a sample). Discrete data is counted in non-negative integers (1, 2, 3, etc.).

Which of the following represent discrete data?


Bar graph, frequency table and number line

are the most common ways to represent discrete data. Among these, bar graph is the most suitable way for graphical representation of discrete data.

Which of the following is an example of discrete data Six Sigma?

Examples of discrete numeric data for Six Sigma measure phase would be:

Number of people who pass a test

.

Count of errors or number of errors on a bill

.

Software errors in a software program

.

Is Year discrete or continuous?

Answer:

Continuous

if looking for exact age, discrete if going by number of years. If a data set is continuous, then the associated random variable could take on any value within the range.

Is civil status discrete or continuous?


Continuous

a. Discrete data has distinct set of values, which are countable and belonging to whole numbers set e.g. The marital status of a person is a nominal qualitative variable to which a numerical value can not be assigned.

What is discrete structure function?

Function – Definition

A function or mapping (Defined as f:X→Y) is a relationship from elements of one set X to elements of another set Y (X and Y are non-empty sets). … Function ‘f’ is a

relation on X and Y such that for each x

∈X, there exists a unique y∈Y such that (x,y)∈R.

Is foot length discrete or continuous?

Shoe size is whole number (discrete), but the underlying measure is foot length which is

measurement (continuous) data

.

What does discrete mean on a graph?

A discrete graph is

one with scattered points

. They may or may not show a direction or trend. They don’t have data in between the points already given. A continuous graph has a line because there is data in between the points already given.

Is a circle discrete or continuous?

As area, it is continuous; any part of an area is also an area. But as a form,

a circle is discrete

; half a circle is not also a circle.

Is a discontinuous function always a discrete function?

However, not all functions are continuous. If a function is not continuous at a point in its domain, one says that it has a discontinuity there. The set of all points of discontinuity of a function may be a

discrete set

, a dense set, or even the entire domain of the function.

Is salary discrete or continuous?

For example, salary levels and performance classifications are

discrete variables

, whereas height and weight are continuous variables.

Is gender a nominal variable?

A good example of a nominal variable is

sex

(or gender). Information in a data set on sex is usually coded as 0 or 1, 1 indicating male and 0 indicating female (or the other way around–0 for male, 1 for female).

What is an example of a nominal question?

For a question such as: Where do you live? Nominal scale is often used in

research surveys and questionnaires where only variable labels hold significance

. For instance, a customer survey asking “Which brand of smartphones do you prefer?” Options : “Apple”- 1 , “Samsung”-2, “OnePlus”-3.

Is religion nominal or ordinal?

Religion. There are many different religions, but again these are just different ways of categorizing the religious preferences of people. Consequently

religion has only a nominal scale of measurement

.

Is BMI discrete or continuous?

Discrete quantitative variables can take on only a countable number of values, there are gaps between the possible choices. These are usually count variables of some kind. In our set above, blood pressure measurements and Body Mass Index (or BMI) would be

clearly continuous

.

Is Heart rate discrete or continuous?

Variables such as heart rate, platelet count and respiration rate are in fact discrete yet

are considered continuous

because of large number of possible values. Only those variables which can take a small number of values, say, less than 10, are generally considered discrete.

Is a bar graph discrete or continuous?

Bar charts are a standard way to

graph discrete variables

. Each bar represents a distinct value, and the height represents its proportion in the entire sample.

Ahmed Ali
Author
Ahmed Ali
Ahmed Ali is a financial analyst with over 15 years of experience in the finance industry. He has worked for major banks and investment firms, and has a wealth of knowledge on investing, real estate, and tax planning. Ahmed is also an advocate for financial literacy and education.