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Statistics
Data Summary and Presentation

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Box-and-Whisker Plots

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arithmetic mean

arithmetic mean

The arithmetic mean is also called the average.back-to-back stem plots

back-to-back stem plots

A Back-to-Back stem plot is a modified stem-and-leaf plot with the stem in the center and the leaves on the sides, it is used to compare two different related sets of data (bivariate data).bell shaped

bell shaped

A bell shaped histogram is a histogram with a prominent ‘mound’ in the center and similar tapering to the left and right.bins

bins

Bins are groups of data plotted on the x-axis.bivariate data

bivariate data

Bivariate data consists of two paired sets of data.box- and- whisker plot

box- and- whisker plot

A box- and- whisker plot is a graphic display of quantitative data that demonstrates the five number summary.calculated data

calculated data

Calculated data has values that are the result of computations performed on the input variable.dependent variable

dependent variable

The dependent variable is the output variable in an equation or function, commonly represented by or .explanatory variables

explanatory variables

Explanatory variables are another name for independent variables.extreme outliers

extreme outliers

Extreme outliers include points more than 3 times the middle half of your data. .Extremes

Extremes

The extremes are the maximum and minimum values in a data set.five point summary

five point summary

The numbers needed to construct a box-and-whisker plot are called the five-point-summary. The five points are the minimum, the lower median (Q1), the median, the upper median (Q3), and the maximum.independent variable

independent variable

The independent variable is the input variable in an equation or function, commonly represented by .input variables

input variables

Input variables are another name for independent variables.Interquartile range

Interquartile range

The interquartile range is the difference between the third quartile and the first quartile (Q3-Q1).Leaf

Leaf

The leaves of a stem-and-leaf plot are the rightmost digits of each of the original data values.line of best fit

line of best fit

A line of best fit is a straight line drawn on a scatter plot such that the sums of the distances to the points on either side of the line are approximately equal and such that there are an equal number of points above and below the line.line of fit

line of fit

A line of fit is a straight or continuously curved line representing the trend of changes in the comparison of two data sets (or one set of bivariate data).linear regression

linear regression

In statistics, linear regression is a process that attempts to model the relationship between two variables by fitting a linear equation to the data.lower median

lower median

The lower median is the first quartile (Q1) in the box-and-whisker plot.Median

Median

The median of a data set is the middle value of an organized data set.mild outliers

mild outliers

Mild outliers include data points that are more than 1.5 times the middle half of your data above the upper, or below the lower, quartiles.modified box-plot

modified box-plot

A modified box plot has whiskers that extend to the highest and lowest non-outlier value.normal distributed

normal distributed

If data is normally distributed, the data set creates a symmetric histogram that looks like a bell.observed data

observed data

Observed data are the values that result from computations performed on the input variable.Outlier

Outlier

In statistics, an outlier is a data value that is far from other data values.output variables

output variables

Output variables are another name for dependent variables.Quartile

Quartile

A quartile is each of four equal groups that a data set can be divided into.range

range

The range of a set of data is the difference in value between the least and greatest values in the set.response variables

response variables

Response variables are another name for dependent variables.skewed

skewed

As with the horizontal skewing of a histogram, stem plots with a obvious skew toward one end or the other tend to indicate an increased number of outliers either lesser than or greater than the mode.statistical correlation

statistical correlation

Statistical correlation is a representation of possible related changes in values between the two sets of data.stem

stem

A stem in a stem plot is a values or column of values that represent the greatest place value(s) in a set of data.Stem-and-leaf plot

Stem-and-leaf plot

A stem-and-leaf plot is a way of organizing data values from least to greatest using place value. Usually, the last digit of each data value becomes the "leaf" and the other digits become the "stem".trends

trends

Trends in data sets or samples are indicators found by reviewing the data from a general or overall standpointuniform

uniform

A uniform shaped histogram indicates data that is very consistent; the frequency of each class is very similar to that of the others.upper median

upper median

The upper median is the third quartile (Q3) in the box-and-whisker plot.Sign in to explore more, including practice questions and solutions for Box-and-Whisker Plots.

Learn how to use box-and-whisker plots to analyze data.

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