A branch of Applied Mathematics specializing in procedures for collecting, organizing, presenting, analyzing and interpreting data from observations
Statistics
Helps in gathering information, understanding patterns, and making inferences about the world around us
Data
Units of information, often numeric, recorded and used for the purpose of analysis
Statistical question
One that can be answered by collecting data
Types of data
Qualitative
Quantitative
Qualitative data/variables
Measure a quality or characteristic of the population being studied, take non-numerical values, such as colors, information or questions that are answerable by YES or NO, labels, etc.
Qualitative data
Hair color, religion, gender, occupation
Quantitative data/variables
Measure a number or an amount
Quantitative data
Height, weight, age, income
Types of numerical variables
Discrete
Continuous
Discrete numerical variable
A numerical variable that is either finite or countable and when obtained by counting
Discrete numerical variables
Family size, number of wins of a sport, the result of rolling 3 dice, number of boys and girls in grade 7 per section
Continuous variable
A numerical variable which represents infinitely many possible values that can be associated with the points on the number line, obtained through measurement
Continuous variables
Height, weight, temperature, wind velocity, age of persons, distance travelled by an airplane over time
Functions or uses of statistics
Education
Government
Medicine & Physical Sciences
Business & Economics
Ungrouped frequency distribution
Classifies a given data set (usually n≤30) under a specific category or class, frequencies of each data is treated as individual data points or as discrete data
Grouped frequency distribution
Having an interval or ratio-level data, and beyond a sample size of 30, frequencies of each data point are clustered in a specific class interval