Statistics - Basic Definitions and Concepts
Statistics
A branch of mathematics that deals with the
collection, organization, presentation, analysis and
interpretation of data for decision-making.
Branches of Statistics
The following are the branches of statistics:
Descriptive Statistics
Methods and treatments used in the collection,
description, and analysis of numerical data.
Describes the population AS IT IS.
Examples:
 Monthly average sales
 Survey results
 Tally sheet of products in stock
 Bank records
 Number of beer bottles sold in a week
Inferential Statistics
Logical process of sample analysis in order to arrive
at a generalization or conclusion about a
population.
INFERS a generalization of the population using a
sample.
Examples:
 Quarterly sales projections
 Determining the effect of price inflation on
monthly profits
 Forecasting business growth for the next five
years
 Finding the relationship between geographic
location and customer preference
 Analyzing the influence of TV advertising on the
popularity of a candidate with voters
Population
All the members of the group to which a
characteristic applies.
Examples:
 All SSS contributions
 All Globe Postpaid subscribers
Sample
A portion or part of the population selected for
analysis.
Examples:
 Pulse Asia survey participants
 Focus groups
Parameter
Numerical value describing a characteristic of a
population.
Examples:
 Population mean (μ - Mu)
 Population variance (σ2
- Sigma squared)
 Population standard deviation (σ - Sigma)
Statistic
Numerical value describing a characteristic of a
sample.
Examples:
 Sample mean (x
̄ - x bar)
 Sample variance (s2
- s squared)
 Sample standard deviation (s)
Qualitative vs Quantitative Data
Qualitative Data
Data that are analyzed in terms of distinct
categories.
Data that can't be measured.
Examples:
 Educational attainment
 Sex
 Occupation
Quantitative Data
Data that are analyzed according to differing
numerical values or degrees.
Data that can be measured.
Examples:
 Monthly income
 Height
 General Weighted Average
Sources of Data
Primary Data
Data that comes from an original source.
Examples:
 Interviews
 Questionnaire answers
 Survey results
 Experiment findings
 Tally sheets
Secondary Data
Data that are taken from previously recorded
information.
Examples:
 Research findings
 Financial statements
 Government surveys
 News reports
 Historical accounts

Statistics and data analysis reviewer.pdf

  • 1.
    Statistics - BasicDefinitions and Concepts Statistics A branch of mathematics that deals with the collection, organization, presentation, analysis and interpretation of data for decision-making. Branches of Statistics The following are the branches of statistics: Descriptive Statistics Methods and treatments used in the collection, description, and analysis of numerical data. Describes the population AS IT IS. Examples:  Monthly average sales  Survey results  Tally sheet of products in stock  Bank records  Number of beer bottles sold in a week Inferential Statistics Logical process of sample analysis in order to arrive at a generalization or conclusion about a population. INFERS a generalization of the population using a sample. Examples:  Quarterly sales projections  Determining the effect of price inflation on monthly profits  Forecasting business growth for the next five years  Finding the relationship between geographic location and customer preference  Analyzing the influence of TV advertising on the popularity of a candidate with voters Population All the members of the group to which a characteristic applies. Examples:  All SSS contributions  All Globe Postpaid subscribers Sample A portion or part of the population selected for analysis. Examples:  Pulse Asia survey participants  Focus groups Parameter Numerical value describing a characteristic of a population. Examples:  Population mean (μ - Mu)  Population variance (σ2 - Sigma squared)  Population standard deviation (σ - Sigma) Statistic Numerical value describing a characteristic of a sample. Examples:  Sample mean (x ̄ - x bar)  Sample variance (s2 - s squared)  Sample standard deviation (s) Qualitative vs Quantitative Data Qualitative Data Data that are analyzed in terms of distinct categories. Data that can't be measured. Examples:  Educational attainment  Sex  Occupation Quantitative Data Data that are analyzed according to differing numerical values or degrees. Data that can be measured. Examples:  Monthly income  Height  General Weighted Average
  • 2.
    Sources of Data PrimaryData Data that comes from an original source. Examples:  Interviews  Questionnaire answers  Survey results  Experiment findings  Tally sheets Secondary Data Data that are taken from previously recorded information. Examples:  Research findings  Financial statements  Government surveys  News reports  Historical accounts