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Statistics
The science of collecting, organizing, analyzing, and interpreting data.
Variable
A characteristic of an item or individual.
Independent Variable
Study hours (the cause) in the investigation of how study hours affects exam scores.
Data Example
5 hours (the actual value recorded from the variable 'Hours spent playing video games').
Population
Every single individual in a specific group.
Sample
A portion of the population collected for data.
Parameter
A measure that describes a population, such as the population mean.
Statistic
The measurement calculated from a sample, such as the sample mean.
Sample Mean
True (It is an example of a Statistic).
Qualitative (Categorical) Data
Type of data that represents groupings or labels.
Quantitative (Numerical) Data
An example is the number of siblings a person has.
Nominal Scale
Used for data that has categories with no rankings.
Ordinal Scale
Scale used to rate satisfaction as 'Low,' 'Medium,' or 'High' which has ranking.
Interval Scale
Measurement scale that has no zero point and only allows for addition and subtraction.
Ratio Scale
Measurement scale that involves a true zero point.
Interval Scale Example
IQ Scores or Temperature in Celsius.
Ratio Scale Classification
Height, weight, and salary are classified under this scale.
Mathematical Operations with Ratio Data
Multiplied, divided, added, and subtracted.
Standardized Tests Scale
Usually categorized as an Interval Scale.
Nominal Scale for Gender
Because it involves categories with no inherent mathematical ranking.
Dependent Variable
Weight loss (the effect) in the study on how diet type affects weight loss.
Categorical (Qualitative) Data
An example is the brand name of a smartphone.
Letter Grades Scale
Ordinal measurement scale.
Ratio Measurement
Allows you to say one value is 'twice as much' as another.
Celsius Temperature Scale
Interval because 0°C does not mean 'no temperature'; it is just a point on the scale.
Game Time Example
Identifies the hours spent playing video games as the independent variable.
Sample Mean Description
A value that describes a specific sample.
Survey Result Example
A survey result of 'Blue, Red, Green' is Categorical/Nominal data.
Ordinal Scale Distance Comparison
True (it tells you the order, but not the exact distance between values).
Primary Difference between Interval and Ratio
Ratio has a true zero point; Interval does not.