Introduction to Statistics and Its Applications

Jul 15, 2024

Meaning and Scope of Statistics

What is Statistics

  • The systematic treatment of quantitative expression is known as Statistics

    • Meaning: When a quantitative expression is treated systematically, it is called statistics.
    • Quantitative expression: Something that can be measured in quantity. Example: 10, 11, 8, 52
    • Example: Finding the average
  • The word Statistics refers to:

    • A. Statistical Data: Plural sense
    • B. Statistical Methods: Singular sense

Statistical Data (Plural Sense)

  • Statistics are aggregates of facts

    • Example: 1000 rupees pocket money of Aditya
    • Aggregates: A collection of many facts
  • Statistics are affected to a marked extent by multiplicity of causes

    • Example: Various reasons for the electricity bill
  • Statistics are numerically expressed

    • Always numerical
  • Statistics are enumerated or estimated

    • Enumeration = Accurate counting
    • Estimate = Approximation
  • Statistics are collected in a systematic manner

  • Statistics are collected for a predetermined purpose

  • Statistics are placed in relation to each other

Statistical Methods (Singular Sense)

  • Use of methods:
    • Collection of data
    • Organization of data
    • Presentation of data
    • Analysis of data
    • Interpretation of data

Function of Statistics

  • Statistics simplify data: Make data easier
  • Statistics provide techniques of comparison: Make comparison easier
  • Statistics help in formulating policies: Assist in policy-making
  • Statistics help in forecasting: Aid in predictions
  • Statistics present the facts in a definite form: Clearly present facts
  • Statistics study relationships: Actually study relationships

Importance of Statistics

  • Statistics and Economics: Helps in understanding relationships in economics
  • Statistics and Economic Planning: Aids in national economic planning
  • Statistics and Business Planning: Facilitates business decision-making
  • Statistics and Government: Assists in government decision-making

Limitations of Statistics

  • It does not study qualitative aspects: Like honesty
  • It does not study individuals
  • Statistical results lack mathematical accuracy: Dependent on averages
  • Statistics can be misused: Results can be manipulated
  • Statistical data should be homogeneous: Data should be uniform
  • Expertise is required for proper use of statistics

Homework

  • Importance of Statistics in:
    • Economics
    • Economic Planning
    • Business Planning
    • Government