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Graphs and Statistics

In mathematics and statistics, graphs are used to display numerical data. They are also used to analyze the relationship between different sets of data. A graph is a collection of data points plotted on a graph, with the x-axis representing a set of values and the y-axis representing a set of values. A graph can be used to visualize the relationship between these values.

Reading Graphs and Tables

719 Practice Problems
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01:05
Introductory and Intermediate Algebra for College Students

Use the graphs of the arithmetic sequences $\left\{a_{n}\right\}$ and $\left\{b_{n}\right\}$ to solve.
If $\left\{a_{n}\right\}$ is a finite sequence whose last term is $-83,$ how many terms does $\left\{a_{n}\right\}$ contain?

Sequences, Series, and the Binomial Theorem
Arithmetic Sequences
00:28
Algebra and Trigonometry

Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement.
If $f(x)=x^{2}$ and $g(x)=5\left(x^{2}-2\right),$ then the graph of $g$ can be obtained from the graph of $f$ by stretching $f$ five units followed by a downward shift of two units

Functions and Graphs
Transformations of Functions
Karly Williams
00:47
Algebra and Trigonometry

Write a possible equation for the function whose graph is shown. Each graph shows a transformation of a common function.

Functions and Graphs
Transformations of Functions
Karly Williams

Mean, Median, and Mode

66 Practice Problems
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01:28
Understandable Statistics, Concepts and Methods

Expand Your Knowledge: Geometric Mean When data consist of percentages, ratios, compounded growth rates, or other rates of change, the geometric mean is a useful measure of central tendency. For $n$ data values,
Geometric mean $=\sqrt[n]{\text { product of the } n \text { data values, }}$ assuming all data values are positive
To find the average growth factor over 5 years of an investment in a mutual fund with growth rates of $10 \%$ the first year, $12 \%$ the second year, $14.8 \%$ the third year, $3.8 \%$ the fourth year, and $6 \%$ the fifth year, take the geometric mean of $1.10,1.12,1.148,1.038,$ and $1.16 .$ Find the average growth factor of this investment.

Averages and Variation
Measures of Central Tendency: Mode, Median, and Mean
Jerrah Biggerstaff
01:44
Understandable Statistics, Concepts and Methods

Grades: Weighted Average In your biology class, your final grade is based on several things: a lab score, scores on two major tests, and your score on the final exam. There are 100 points available for each score. However, the lab score is worth $25 \%$ of your total grade, each major test is worth $22.5 \%$ and the final exam is worth $30 \%$. Compute the weighted average for the following scores: 92 on the lab, 81 on the first major test, 93 on the second major test, and 85 on the final exam.

Averages and Variation
Measures of Central Tendency: Mode, Median, and Mean
Jerrah Biggerstaff
06:35
Understandable Statistics, Concepts and Methods

How old are professional football players? The 11th edition of The Pro Football Encyclopedia gave the following information. Random sample of pro football player ages in years:
$$\begin{array}{llllllllll}24 & 23 & 25 & 23 & 30 & 29 & 28 & 26 & 33 & 29 \\24 & 37 & 25 & 23 & 22 & 27 & 28 & 25 & 31 & 29 \\25 & 22 & 31 & 29 & 22 & 28 & 27 & 26 & 23 & 21 \\25 & 21 & 25 & 24 & 22 & 26 & 25 & 32 & 26 & 29\end{array}$$
(a) Compute the mean, median, and mode of the ages.
(b) Interpretation Compare the averages. Does one seem to represent the age of the pro football players most accurately? Explain.

Averages and Variation
Measures of Central Tendency: Mode, Median, and Mean
Evelyn Cunningham

Equations in Two Variables; The Rectangular Coordinate System

448 Practice Problems
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02:31
Precalculus

Find the equation of the line using the information given. Write answers in slope-intercept form.
parallel to $12 x+5 y=65,$ through the point (-2,-1)

Relations, Functions, and Graphs
Linear Graphs and Rates of Change
Dale Sanford
01:24
Precalculus

Graph each linear equation using the $y$ -intercept and slope determined from each equation.
$$y=\frac{1}{2} x-3$$

Relations, Functions, and Graphs
Linear Graphs and Rates of Change
Dale Sanford
01:48
Precalculus

Graph each linear equation using the $y$ -intercept and slope determined from each equation.
$$y=\frac{-4}{5} x+2$$

Relations, Functions, and Graphs
Linear Graphs and Rates of Change
Dale Sanford

Graphing Linear Equations

721 Practice Problems
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01:33
Algebra and Trigonometry Real Mathematics, Real People

Describe the viewing window of the graph shown.
$y=-10 x+50$

Functions and Their Graphs
Graphs of Equations
01:09
Calculus: Early Transcendental Functions

Find an equation of the line through the given points and compute the $y$ -coordinate of the point on the line corresponding to $x=4$.
CAN'T COPY THE GRAPH

Preliminaries
Polynomials and Rational Functions
Jeyasree R T
07:33
Precalculus : Building Concepts and Connections

Graph the solution set of each system of inequalities.
$$\left\{\begin{array}{rr}
-\frac{3}{2} x+y \geq & -3 \\
2 x+y \leq & 4 \\
2 x+y \geq & -3
\end{array}\right.$$

Systems of Equations and Inequalities
Systems of Linear Equations and Inequalities in Two Variables
Vipender Yadav

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