A branch of mathematics that deals with the organization, summarization, analysis, and interpretation of group of numbers
Population
The set of all the individuals of interest in a particular study
Parameter
A value (usually a numerical value) that describes a population. We can get this when conducting CENSUS survey
CENSUS
A particular procedure of the PSA to gather data from the population (Philippines)
Sample
A set of individuals selected from a population, usually intended to represent the population in a research study
Statistic
A value (usually numerical value) that describes a sample
Variable
A characteristic or condition that changes or has different values for different individuals
Values
Possible number or category that a score can have
Score
A particular person's value on a variable
Data
Measurements or observations; commonly called a score or raw score; it can be called data if you have multiple observations
Data Set
A collection of measurements or observations
Descriptive Statistics
Statistical procedures used to summarize, organize, and simplify data
Inferential Statistics
Techniques that allow us to study samples and then make generalizations about the populations from which they were selected
Sampling Error
The naturally occurring discrepancy, or error, that exists between a sample statistic and the corresponding population parameter
Researcher interested in the effect of amount of sleep on high school students' exam scores
Statistic
Variable
Parameter
Sample
DiscreteVariable
Consists of separate, indivisible categories
ContinuousVariable
There are an infinite number of possible values that fall between any two observed values
DichotomousVariable
One that takes on one of only two possible values when observed or measured
Artificial Dichotomous
Derived from scores
True Dichotomous
Naturally occurring
Level of Measurement
A classification that describes the nature of information within the values assigned to variables
Nominal
Variable with values that are categories; also known as categorical variables
Ordinal
Numeric variable in which the values are ranks; also known as rank-order variable
Interval
Variable that contains equal-interval between numbers and contain no absolute zero point
Ratio
An interval scale with the additional feature of an absolute zero point
Frequency Distribution
An organized tabulation of the number of individuals located in each category on the scale of measurement
Frequency Tables
Ordered listing of number of individuals having each of the different values for a particular variable
Proportion
It measures the fraction of the total group that is associated with each score
Percentage
An amount of something, often expressed as a number out of 100
Group Frequency Table
Frequency table in which the number of individuals (frequency) is given for each interval (range of values in a grouped frequency table that are grouped together) of values
Histogram
Bar-like graph of a frequency distribution in which the values are plotted along the horizontal axis and the height of each bar is the frequency of that value
Frequency Polygon
Continuous line that represents the frequencies of scores within a class interval, based on a histogram; used for continuous data
ColumnChart
A data visualization where each category is represented by a rectangle, with the height of the rectangle being proportional to the values being plotted
Bar Graph
Identical to column charts, but this chart, categories are organized vertically on the y-axis, and values are shown horizontally on the x-axis
Line Graph
A graph which uses lines to connect to individual data points that display quantitative values over a specified time interval
Central Tendency
Typical or most representative value of a group of scores
Mean
Arithmetic average of a group of scores; sum of the scores divided by the number of scores; the balance point of a distribution
Median
Middle score when all the scores in a distribution are arranged from lowest to highest
Mode
Value with the greatest frequency in the distribution
UnimodalDistribution
Frequency distribution with one value clearly having a larger frequency than any other