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Individual
An object described in a set of data. They can be people, animals, or things.
Variable
A characteristic that can take different values for different individuals
Categorical variable
Takes values that are labels, which place each individual into a particular group, called a category
Quantitative Variables
Takes number values that are quantities - counts or measurements.
Distribution of a variable
Tells us what vales the variable takes and how often it takes each value
Frequency Table
shows the number of individuals having each value
Relative Frequency Table
Shows the proportion or percentage of individuals having each value
Bar Graph
shows each category as a bar. The heights of the bats show the category frequencies or relative frequencies
Statistics
The science and art of collecting, analyzing, and drawing conclusions from data.
Pie Chart
Shows each category as a slice of the pie. The areas of the slices are proportional to the category frequencies or relative frequencies
Side-by-side bar graph
displays the distribution of one categorical variable in each of two or more groups
discrete variable
A quantitative variable that takes a countable set of possible values with gaps between them of the number line.
continuous variable
A quantitative variable that can take any value in an interval on the number line
dotplot
shows each data value as a dot above its location on a number line
Roughly symmetric
When the right side of the graph (containing the half of the observations with the largest values) is approximately a mirror image of the left side
skewed to the right
When the right side of the graph is much longer than the left side
skewed to the left
When the left side of the graph is much longer than the right side
approximately uniform
A distribution in which the frequencies (relative frequencies) of each possible value is about the same
overall pattern
Described by the distributions chape, center, and variability
outlier
An observation that falls outside the overall pattern
stemplot
Shows each data value separated into two parts: a stem, which consists of the leftmost digits, and a leaf, consisting of the final digit. The stems are ordered from least to greatest and arranged in a vertical column. The leaves are arranged in increasing order out from the appropriate stems.
back-to-back stem plot
compare the distribution of a quantitative variable in two groups
histogram
Shows each interval as a bar. The height’s of the bars show the frequencies of values in each interval.