An object described in a set of data (can be people, animals, or things) “nouns”
Individuals
A characteristic that can take different individuals “adjectives”
Variable
Takes values that are labels, which place each individual into a particular group/category
Categorical Variable
Takes number values that are quantities, counts, or measurements
Quantitative Variable
The distribution of a variable tells us what values the variable takes and how often it takes each value
Distribution
Shows the number of individuals having each value
Frequency Table
Shows the proportion, fraction, or percentage of individuals having each value
Relative Frequency Table
Shows categories as a bar
The heights of the bars show the relative frequencies
Bar Graph
Shows each category as a slice of data, the areas of the slices are proportional to the relative frequencies
Pie Chart
Displays the distribution of 1 categorical variable in each of 2 or more groups
Side-by-Side Bar Graph
A quantitative variable that takes a countable set of possible values with gaps between them on the number line
Discrete Variable
A quantitative variable that can take any value in an interval on the number line
Continuous Variable
Shows each data value as a dot above its location on a number line
Dotplot
The right side of the graph is approximately a mirror image of the left side
Roughly Symmetric
The left side of the graph is much longer than the right side
Skewed Left
The right side of the graph is much longer than the left side
Skewed Right
The relative frequency of each possible value is about the same
Approximately Uniform
Shows each data value separated into two parts: a stem, which consists of the leftmost, and a leaf, consisting of the final digit. The leaves are arranged in increasing order out from the appropriate stems
Stemplot
Shows each interval as a bin. The heights of the bins show the frequencies or relative frequencies of values in each interval
Histogram
The midpoint of a distribution - the number such that about half the observations are smaller and about half are larger
To find it, arrange the data values from smallest to largest
Median
A number that describes some characteristics of a sample
x̄
Statistic
A number that describes some characteristic of a population
μ
Parameter
A statistical measure that is not affected much by extreme data values
Resistant
The average of all the individual data values. To find it, add all the values and divide by the total number of data values
Mean
Distribution of a quantitative data consists of the minimum, first quartile, median, third quartile, and the maximum
5 Number Summary
A visual representation of the 5 number summary
Boxplot
The distance between the first and third quartiles of a distribution
Interquartile Range (IQR)