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Individual
An object described by a set of data (ex. random bird)
Variable
A characteristic about an individual (ex. wingspan, beak length, color)
Population
A group of all individuals of interest (ex. all the students in CPP)
Parameter
A number that describes an aspect of the population (ex. average age of students)
Sample
A subset of the population (ex. all students in STA1300 at CPP)
Statistic
A number that describes an aspect of the sample (ex. average age of students in 1300 Statistic)
Categorical (Qualitative) Variables
Place variable into categories.
Qualitative Nominal Variables
Have no natural order (ex. names, colors, gender, shoe type)
Qualitative Ordinal Variables
Have some sort of natural order (ex. t-shirt size, shoe size, height classification, alphabet)
Numeric (Quantitative) Variables
Are variables that are numbers and make sense to do math on.
Quantitative Discrete Variables
Are countable and have gaps between possible values (ex. how many languages you speak, number of friends, number of pets)
Quantitative Continuous Variables
Can be any number in an interval (ex. height, weight, earthquake magnitude, length, temperature)
Frequency
A number of times a value appears in a data set.
Frequency distribution
Tabulation (make it a table) of the frequencies.
Relative frequency
Is the proportion of times a value appears in a data set.
Pareto chart
When a bar graph is ordered from most to least frequent.
Histograms
Like bar plots for numeric data where the 'categories' are called classes or bins.
Lower class limit (LCL)
Smallest value that can appear in a class.
Upper class limit (UCL)
Largest value that can appear in a class.
Class width (CW)
Difference between 2 consecutive LCLs.
Measure of center
Mean, Median.
Mean
Add up all values and divide by how many there are.
Median
Is the center of a sorted data set.
Standard deviation (SD)
Is the average spread of the data around the mean.
Percentile
Is the value such that p% of the data is equal to or less than that value.
LOB
Lower outlier bound.
UOB
Upper outlier bound.
Outlier
Any number smaller than the LOB or larger than the UOB.