Statistics
Mean, Median, Mode & Range
These are the four primary measures of central tendency and spread in statistics. They help summarize Large sets of data into single, understandable numbers.
Definitions
- Mean (Average): Sum of all values divided by the count. Best for data without extreme outliers.
- Median: The middle value when sorted. Better than mean if data is skewed (e.g., income/salary data).
- Mode: The most frequently occurring value. Useful for categorical data (e.g., most popular shoe size).
- Range: Difference between the highest and lowest values. Shows spread.
Example
Dataset: {2, 5, 8, 5, 10}
- Mean: (2+5+8+5+10) / 5 = 6
- Median: Sorted {2, 5, 5, 8, 10} -> 5
- Mode: 5 (appears twice)
- Range: 10 - 2 = 8
FAQ
Can there be more than one Mode?
Yes. If two values appear with equal highest frequency, the dataset is "Bi-modal". If more than two, it is "Multi-modal".