Plots Definition Math

3rd

Learn what is line plot. Also find the definition and meaning for various math words from this math dictionary.

Dot Plots
Plotting is an important part of statistics as a pictorial representation of data gives a clear idea of data. Dot plots are a visualization of data which can give information about the frequency distribution of the data. A dot plot can give an overall view of the data based on if it is skewed or not.

Math

Dot PlotEdit
A dot plot is a way to present numerical data. A dot plot is a number line with dot placed on it corresponding to their value. The intervals between each number stays the same.

Dot plots can be used to display various types of information. Figure 1 uses a dot plot to display the number of M & M's of each color found in a bag of M & M's. Each dot represents a single M & M. From the figure, you can see that there were 3 blue M & M's, 19 brown M & M's, etc.

A ~ is as shown in the figure.
The frequency of the data points is represented by the dots.
Video Examples: MS 7 Math Comparing Box Plots
Solved Example on ~ ...

Line plot worksheets have abundant practice pdfs to graph the frequency of data in a number line. Interesting and attractive theme based skills are presented for children of grade 2 through grade 5 in these printable worksheets to make, read, and interpret line plots under four exclusive levels. Plot: The method of inserting a point in a coordinate plane is referred as 'Plot'. The x and y coordinates can be used to add the point in a plane. It helps to recognize the points in a coordinate plane. Types of MATLAB Plots. There are various functions that you can use to plot data in MATLAB ®.This table classifies and illustrates the common graphics functions. Illustrated definition of Line Plot: Another name for Dot Plot.

~. See: line plot.
Dilation. A transformation that moves each point along the ray through the point emanating from a fixed center, and multiplies distances from the center by a common scale factor.

~
A ~ is a way of summarising data, often used in exploratory data analysis to illustrate the major features of the distribution of the data in a convenient form.

~s
Dot pots are similar to single-valued histograms, but rather than placing rectangles above each particular value, a ~ just places the required number of dots above each value. Looking at our example again with the number of children, the plot would look something like this:
Technology ...

~
A ~ is a graph used in statistics for organising and displaying numerical data.

Plot

~s
Using SOCR Charts and the ~ Charts activities you can produce a number of interesting graphical summaries for this hotdogs dataset.
The graph below shows the dot-plot of the Calorie content for all 3 types of hotdogs.

~
Produnis/Wikimedia Commons
A ~ is a hybrid between a histogram and a stem and leaf plot. Each quantitative data value becomes a dot or point that is placed above the appropriate class values.

~
A graph for displaying the distribution of a numerical variable in which each dot represents a value of the variable.
For a whole-number variable, if a value occurs more than once, the dots are placed one above the other so that the height of the column of dots represents the frequency for that value.

~
A form of a histogram for which an observation with a value within a certain range is plotted as a dot a fixed interval above the previous dot in that same range. Useful for small numbers of observations.
[E]
effect ...

One of the most basic ways to display statistical data is a line plot (or ~ ). This is used for surveys of small numbers of people, or to show a distribution of data about a small set.
Example:
Suppose you count the number of students in each classroom in your school.

~ (bioinformatics)
~ (statistics)
Double counting (fallacy)
Double exponential distribution - disambiguation
Double mass analysis
Doubly stochastic model
Drift rate - redirects to Stochastic drift
Dudley's theorem
Dummy variable (statistics)
Duncan's new multiple range test
Dunn index ...

This graph includes the addition of a ~. The ~ is the collection of points along the left y-axis. These are the values of the residuals. The purpose of the ~ is to provide an indication the distribution of the residuals.
'S' shaped curves indicate bimodal distribution ...

Dot Plots Definition Math

A line plot, sometimes called a ~, helps us get a better understanding of a small number of observations. A line represents the variable you are interested in and the values of the variable are labels on the line. Each observation is marked as a point above the line.
Example of a line plot: ...

A way to organize data along a number line where the X (or other symbols) above a number represent how often each value is mentioned. A line plot made with dots is sometimes referred to as a ~.
Line reflection ...

displayed by pictograms or bar graphs, or for younger students, block graphs, where, for example, a square of sticky paper could represent an element in a category. Whole number data can be displayed by block graphs, pictographs, tally charts, bar graphs, pie graphs and stem and leaf graphs. Also possible are ~s, ...

See also: What is the meaning of Distribution, Number, Maximum, Statistic, Median?
◄ Donaldson theory Dot product ►

Addition and subtraction within 5, 10, 20, 100, or 1000. Addition or subtraction of two whole numbers with whole number answers, and with sum or minuend in the range 0-5, 0-10, 0-20, or 0-100, respectively. Example: 8 + 2 = 10 is an addition within 10, 14 – 5 = 9 is a subtraction within 20, and 55 – 18 = 37 is a subtraction within 100.

Additive inverses. Two numbers whose sum is 0 are additive inverses of one another. Example: 3/4 and – 3/4 are additive inverses of one another because 3/4 + (- 3/4) = (- 3/4) + 3/4 = 0.

Associative property of addition. See Table 3 in this Glossary.

Associative property of multiplication. See Table 3 in this Glossary.

Bivariate data. Pairs of linked numerical observations. Example: a list of heights and weights for each player on a football team.

Box plot. A method of visually displaying a distribution of data values by using the median, quartiles, and extremes of the data set. A box shows the middle 50% of the data.1

Commutative property. See Table 3 in this Glossary.

Complex fraction. A fraction A/B where A and/or B are fractions (B nonzero).

Computation algorithm. A set of predefined steps applicable to a class of problems that gives the correct result in every case when the steps are carried out correctly. See also: computation strategy.

Computation strategy. Purposeful manipulations that may be chosen for specific problems, may not have a fixed order, and may be aimed at converting one problem into another. See also: computation algorithm.

Congruent. Two plane or solid figures are congruent if one can be obtained from the other by rigid motion (a sequence of rotations, reflections, and translations).

Counting on. A strategy for finding the number of objects in a group without having to count every member of the group. For example, if a stack of books is known to have 8 books and 3 more books are added to the top, it is not necessary to count the stack all over again. One can find the total by counting on—pointing to the top book and saying “eight,” following this with “nine, ten, eleven. There are eleven books now.”

Dot plot.See: line plot.

Dilation. A transformation that moves each point along the ray through the point emanating from a fixed center, and multiplies distances from the center by a common scale factor.

Expanded form. A multi-digit number is expressed in expanded form when it is written as a sum of single-digit multiples of powers of ten. For example, 643 = 600 + 40 + 3.

Expected value. For a random variable, the weighted average of its possible values, with weights given by their respective probabilities.

First quartile. For a data set with median M, the first quartile is the median of the data values less than M. Example: For the data set {1, 3, 6, 7, 10, 12, 14, 15, 22, 120}, the first quartile is 6.2See also: median, third quartile, interquartile range.

Fraction. A number expressible in the form a/b where a is a whole number and b is a positive whole number. (The word fraction in these standards always refers to a non-negative number.) See also: rational number.

Identity property of 0. See Table 3 in this Glossary.

Independently combined probability models. Two probability models are said to be combined independently if the probability of each ordered pair in the combined model equals the product of the original probabilities of the two individual outcomes in the ordered pair.

Integer. A number expressible in the form a or -a for some whole number a.

Interquartile Range. A measure of variation in a set of numerical data, the interquartile range is the distance between the first and third quartiles of the data set. Example: For the data set {1, 3, 6, 7, 10, 12, 14, 15, 22, 120}, the interquartile range is 15 – 6 = 9. See also: first quartile, third quartile.

Line plot. A method of visually displaying a distribution of data values where each data value is shown as a dot or mark above a number line. Also known as a dot plot.3

Mean. A measure of center in a set of numerical data, computed by adding the values in a list and then dividing by the number of values in the list.4 Example: For the data set {1, 3, 6, 7, 10, 12, 14, 15, 22, 120}, the mean is 21.

Mean absolute deviation. A measure of variation in a set of numerical data, computed by adding the distances between each data value and the mean, then dividing by the number of data values. Example: For the data set {2, 3, 6, 7, 10, 12, 14, 15, 22, 120}, the mean absolute deviation is 20.

Median. A measure of center in a set of numerical data. The median of a list of values is the value appearing at the center of a sorted version of the list—or the mean of the two central values, if the list contains an even number of values. Example: For the data set {2, 3, 6, 7, 10, 12, 14, 15, 22, 90}, the median is 11.

Midline. In the graph of a trigonometric function, the horizontal line halfway between its maximum and minimum values. Multiplication and division within 100. Multiplication or division of two whole numbers with whole number answers, and with product or dividend in the range 0-100. Example: 72 ÷ 8 = 9.

Multiplicative inverses. Two numbers whose product is 1 are multiplicative inverses of one another. Example: 3/4 and 4/3 are multiplicative inverses of one another because 3/4 × 4/3 = 4/3 × 3/4 = 1.

Number line diagram. A diagram of the number line used to represent numbers and support reasoning about them. In a number line diagram for measurement quantities, the interval from 0 to 1 on the diagram represents the unit of measure for the quantity.

Percent rate of change. A rate of change expressed as a percent. Example: if a population grows from 50 to 55 in a year, it grows by 5/50 = 10% per year.

Probability distribution. The set of possible values of a random variable with a probability assigned to each.

Properties of operations. See Table 3 in this Glossary.

Properties of equality. See Table 4 in this Glossary.

Properties of inequality. See Table 5 in this Glossary.

Properties of operations. See Table 3 in this Glossary.

Probability. A number between 0 and 1 used to quantify likelihood for processes that have uncertain outcomes (such as tossing a coin, selecting a person at random from a group of people, tossing a ball at a target, or testing for a medical condition).

Plots Definition Math

Probability model. A probability model is used to assign probabilities to outcomes of a chance process by examining the nature of the process. The set of all outcomes is called the sample space, and their probabilities sum to 1. See also: uniform probability model.

Random variable. An assignment of a numerical value to each outcome in a sample space. Rational expression. A quotient of two polynomials with a non-zero denominator.

Rational number. A number expressible in the form a/b or – a/b for some fraction a/b. The rational numbers include the integers.

Rectilinear figure. A polygon all angles of which are right angles.

Rigid motion. A transformation of points in space consisting of a sequence of one or more translations, reflections, and/or rotations. Rigid motions are here assumed to preserve distances and angle measures.

Repeating decimal. The decimal form of a rational number. See also: terminating decimal.

Sample space. In a probability model for a random process, a list of the individual outcomes that are to be considered.

Scatter plot. A graph in the coordinate plane representing a set of bivariate data. For example, the heights and weights of a group of people could be displayed on a scatter plot.5

Similarity transformation. A rigid motion followed by a dilation.

Tape diagram. A drawing that looks like a segment of tape, used to illustrate number relationships. Also known as a strip diagram, bar model, fraction strip, or length model.

Terminating decimal. A decimal is called terminating if its repeating digit is 0.

Third quartile. For a data set with median M, the third quartile is the median of the data values greater than M. Example: For the data set {2, 3, 6, 7, 10, 12, 14, 15, 22, 120}, the third quartile is 15. See also: median, first quartile, interquartile range.

Transitivity principle for indirect measurement. If the length of object A is greater than the length of object B, and the length of object B is greater than the length of object C, then the length of object A is greater than the length of object C. This principle applies to measurement of other quantities as well.

Uniform probability model. A probability model which assigns equal probability to all outcomes. See also: probability model.

Plot Definition Math

Vector. A quantity with magnitude and direction in the plane or in space, defined by an ordered pair or triple of real numbers.

Scatter Plot Definition Math

Visual fraction model. A tape diagram, number line diagram, or area model.

Whole numbers. The numbers 0, 1, 2, 3, …

1Adapted from Wisconsin Department of Public Instruction, http://dpi.wi.gov/standards/mathglos.html, accessed March 2, 2010.

2Many different methods for computing quartiles are in use. The method defined here is sometimes called the Moore and McCabe method. See Langford, E., “Quartiles in Elementary Statistics,” Journal of Statistics Education Volume 14, Number 3 (2006).

Data Plots Definition Math

3Adapted from Wisconsin Department of Public Instruction, op. cit.

Dot Plot Math Definition

4To be more precise, this defines the arithmetic mean.

5Adapted from Wisconsin Department of Public Instruction, op. cit.