13.10: Key Terms
- Page ID
- 94711
\( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \)
\( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}} \)
\( \newcommand{\dsum}{\displaystyle\sum\limits} \)
\( \newcommand{\dint}{\displaystyle\int\limits} \)
\( \newcommand{\dlim}{\displaystyle\lim\limits} \)
\( \newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\)
( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\)
\( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\)
\( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\)
\( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\)
\( \newcommand{\Span}{\mathrm{span}}\)
\( \newcommand{\id}{\mathrm{id}}\)
\( \newcommand{\Span}{\mathrm{span}}\)
\( \newcommand{\kernel}{\mathrm{null}\,}\)
\( \newcommand{\range}{\mathrm{range}\,}\)
\( \newcommand{\RealPart}{\mathrm{Re}}\)
\( \newcommand{\ImaginaryPart}{\mathrm{Im}}\)
\( \newcommand{\Argument}{\mathrm{Arg}}\)
\( \newcommand{\norm}[1]{\| #1 \|}\)
\( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\)
\( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\AA}{\unicode[.8,0]{x212B}}\)
\( \newcommand{\vectorA}[1]{\vec{#1}} % arrow\)
\( \newcommand{\vectorAt}[1]{\vec{\text{#1}}} % arrow\)
\( \newcommand{\vectorB}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \)
\( \newcommand{\vectorC}[1]{\textbf{#1}} \)
\( \newcommand{\vectorD}[1]{\overrightarrow{#1}} \)
\( \newcommand{\vectorDt}[1]{\overrightarrow{\text{#1}}} \)
\( \newcommand{\vectE}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash{\mathbf {#1}}}} \)
\( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \)
\(\newcommand{\longvect}{\overrightarrow}\)
\( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}} \)
\(\newcommand{\ket}[1]{\left| #1 \right>}\)
\(\newcommand{\bra}[1]{\left< #1 \right|}\)
\(\newcommand{\braket}[2]{\left< #1 \vphantom{#2} \right| \left. #2 \vphantom{#1} \right>}\)
\(\newcommand{\braopket}[3]{\left< #1 \vphantom{#2}\vphantom{#3} \right| #2 \vphantom{#1}\vphantom{#3} \left| #3 \vphantom{#1}\vphantom{#2} \right>}\)
\(\newcommand{\qmvec}[1]{\mathbf{\vec{#1}}}\)
\(\newcommand{\op}[1]{\hat{\mathbf{#1}}}\)
\(\newcommand{\expect}[1]{\langle #1 \rangle}\)
\(\newcommand{\dfn}[1]{\emph{\textbf{#1}}}\)
- arithmetic mean
- a measure of center of a data set, calculated by adding up the data values and dividing the sum by the number of data values
- bar graph
- a chart that presents categorical data in a summarized form based on frequency or relative frequency
- bivariate data
- paired data in which each value of one variable is paired with a value of a second variable
- data visualization
- the use of graphical displays, such as bar charts, histograms, and scatter plots, to help interpret patterns and trends in a data set
- empirical rule
- a rule that provides the percentages of data values falling within one, two, and three standard deviations from the mean for a bell-shaped (normal) distribution
- expected value
- a weighted average of the values of a variable where the weights are the associated probabilities
- exponential distribution
- a continuous probability distribution that is useful for calculating probabilities within the time between events
- frequency distribution
- a method of organizing and summarizing a data set that provides the frequency with which each value in the data set occurs
- geometric mean
- a measure of center of a data set, calculated by multiplying the data values and then raising the product to the exponent , where n is the number of data values
- histogram
- a graphical display of continuous data showing class intervals on the horizontal axis and frequency or relative frequency on the vertical axis
- interquartile range (IQR)
- a number that indicates the spread of the middle half, or middle 50%, of the data; the difference between the third quartile (Q3) and the first quartile (Q1)
- median
- the middle value in an ordered data set
- mode
- the most frequently occurring data value in a data set
- normal distribution
- a bell-shaped distribution curve that is used to model many measurements, including IQ scores, salaries, heights, weights, blood pressures, etc.
- outliers
- data values that are significantly different from the other data values in a data set
- percentiles
- numbers that divide an ordered data set into hundredths; often used to indicate position of a data value in a data set
- population data
- data representing all the outcomes or measurements that are of interest
- portfolio
- a collection of financial investments, such as stocks, bonds, mutual funds, certificates of deposit, etc.
- probability distribution
- a mathematical function that assigns probabilities to various outcomes
- quartiles
- numbers that divide an ordered data set into quarters; the second quartile is the same as the median
- sample data
- data representing outcomes or measurements collected from a subset or part of a population
- scatter plot (or scatter diagram)
- a graphical display that shows the relationship between a dependent variable and an independent variable
- standard deviation
- a measure of the spread of a data set that indicates how far a typical data value is from the mean
- time series graph
- a graphical display used to show measurement data plotted versus time, where time is displayed on the horizontal axis
- variance
- the measure of the spread of data values calculated as the square of the standard deviation
- weighted mean
- a measure of center of a data set in which each data value has a corresponding weighting
- x-axis
- the horizontal axis in a rectangular coordinate system
- y-axis
- the vertical axis in a rectangular coordinate system
- z-score (or z-value)
- a measure of the position of a data value in the data set, calculated by subtracting the mean from the data value and then dividing the difference by the standard deviation


