Central Tendency Measures

Central Tendency Measures

1. Definition

   • The mean, or average, is the sum of all values divided by the number of values.

2. symbol

   • μ (population mean) or x̄ (sample mean)

3. use

   • It indicates the typical or central value of a dataset. |

4. Median

   • definition
     • The median is the middle value when data is arranged in ascending order.

5. symbol

   • Mdn or Med
   • use
     • It represents the middle position and is less sensitive to extreme values.

6. mode

   • definition
     • The mode is the value that occurs most frequently in a dataset.

7. symbol

   • Mo

8. use

   • It identifies the most common value in a dataset.

9. Characteristics

   • Uniqueness
     • Mean is unique, but a dataset can have no mode or multiple modes.

10. resilience

    • Median is resilient to outliers, while the mean is influenced by them.

11. Data Type

    • Mean and median can be calculated for both numerical and ordinal data.
    • Numerical Data
      • Mean, median, and mode are applicable to numerical data.

12. Ordinal Data

    • Median is suitable for ordered or ordinal data.

13. Population Mean

    • Parameter for the mean in a whole population (μ).
    • Parameters

14. Sample Mean

    • Parameter for the mean in a sample (x̄).
    • Sample Median
      • Parameter for the median in a sample (Mdn).
    • mode
      • There's no separate parameter for the mode; it's the value itself.