C2-M2 - Mathematical Thinking

Mathematical Thinking in Data Analysis

• Definition of Mathematical Thinking

  • A logical approach to problem-solving.

  • Involves breaking down problems step by step to identify data patterns.

  • Useful for choosing appropriate analytical tools based on problem specifics.

• Types of Data

  • Small Data:

    • Defined as specific metrics over short time periods.

    • Example: Daily water intake.

    • Best for day-to-day decision making.

    • Tools: Spreadsheets for organizing and analyzing data.

  • Big Data:

    • Involves larger and less specific datasets, covering extended periods.

    • Requires breakdown for effective analysis.

    • Useful for large-scale problems and significant business decisions.

    • Tools: SQL for handling large datasets.

Case Study: Bed Optimization in a Hospital

• Problem Description:

  • Hospitals may experience over or underutilization of beds.

  • Goal: Optimize bed usage while minimizing waste of resources.

• Using Mathematical Thinking:

  • Step-by-Step Breakdown:

    • Identify key metrics (e.g., number of beds open and used over time).

    • Calculate Bed Occupancy Rate:

      • Formula: Bed Occupancy Rate = (Total Inpatient Days) / (Total Available Beds).

  • Identifying Patterns:

    • Analyze relationships between key variables to find actionable insights.

• Choosing the Right Tool:

  • Due to the extensive patient data over time, SQL is the logical choice for analysis.

• Finding a Solution:

  • Discovering consistently unused beds leads to action:

    • Decision to reduce the number of beds saves space and resources.

    • Resources can be reallocated for necessary supplies like protective equipment.

Summary of Key Concepts Learned

• Importance of data empowerment in decision-making.

• Difference between quantitative (numerical) and qualitative (descriptive) analysis.

• Utilizing reports and dashboards for efficient data visualization.

• Defining and understanding metrics in data analysis.

• Applying mathematical approaches to enhance problem-solving.

Coming Up Next

• Introduction to spreadsheet basics in data analysis.

• Application of learned concepts and introduction of new analytical tools.