Math Applications 3/25/25

  • Statistical Analysis Basics

    • Fundamental for studying, organizing, and interpreting data.

    • Collection of methods to process large data sets and identify trends.

    • Similar to estimating values, such as rounding test scores.

  • Key Statistical Concepts

    • Key terms discussed: Mean, Median, Mode, and Range.

  • Mean

    • Definition: The average of a set of numbers.

    • Calculation: Add individual values and divide by the number of values.

      • Example: Mary’s test scores - 92%, 79%, 100%, 89%, 95%:

        • Calculation: (92 + 79 + 100 + 89 + 95) / 5 = 91.

        • Homework reference: Practice 22 on page 23 (finding averages).

  • Median

    • Definition: The middle number in an ordered list of values.

    • Calculation: Arrange the numbers from smallest to largest and find the middle.

      • If the number of values is odd:

        • Example: Mary’s scores ordered: 79, 89, 92, 95, 100. Median = 92.

      • If even: Average the two middle numbers.

    • Homework reference: Practice 23 on pages 24-25 (finding medians).

  • Mode

    • Definition: The number that appears most frequently in a data set.

    • Calculation: Identify the most common value(s) without rearranging.

      • Example: Bob's snacks - 20, 20, 50, 78, 34, 87 (Saturday) & 220, 25, 90, 85, 20, 20 (Sunday).

        • Mode = 20 (appears 4 times).

      • Note: If there are multiple modes, list all (e.g., 6 and 42).

    • Homework reference: Practice 24 on page 25-26 (finding modes and considering problems that involve additions).

  • Range

    • Definition: Difference between the largest and smallest values in a set.

    • Calculation: Subtract the smallest value from the largest.

      • Example: Ages ranging from 12 to 100: 100 - 12 = 88.

    • Note: Not a focus for homework or exam but essential to know for general understanding.

  • Military Time

    • Importance: Used in healthcare to avoid confusion between AM and PM.

    • Format: Always four digits, no colons (e.g., midnight = 0000, 1 AM = 0100, 10 PM = 2200).

    • Conversion: For times after noon, add 12 to the hour (e.g., 5 PM = 1700).

    • Practice using military time is essential for healthcare settings as schedules and instructions follow this format.

  • Reference Materials

    • Universal time sheets available on Blackboard as a resource.

    • Not necessary for quizzes or the CST exam, but helpful for confusion regarding time.