統計における中心傾向の測定
平均、中央値、最頻値、その他の中心傾向の測定を理解する
Interactive Measures of Central Tendency Visualization
Welcome to the Measures of Central Tendency Explorer
This interactive visualization helps you understand the three main measures of central tendency: mean, median, and mode. Explore how these measures behave differently with symmetric, skewed, and bimodal distributions.
What you can explore:
- Mean (x̄) - Average value, sensitive to outliers
- Median - Middle value, robust to outliers
- Mode - Most frequent value(s)
- Distribution Shapes - How measures relate to distribution shape
How to Use This Visualization
Interactive Features:
- • Select Distribution - Choose from different distribution types
- • Enter Custom Data - Input your own data values
- • Toggle Measures - Show/hide mean, median, and mode
- • Compare Values - See how measures differ
What You'll See:
- • Histogram - Frequency distribution of data
- • Mean Line (blue, dashed) - Average value
- • Median Line (purple, dashed) - Middle value
- • Mode Markers (orange) - Most frequent values
Measures of Central Tendency
Mean (x̄)
10.000
Σx / n = 170 / 17
Average of all values. Sensitive to outliers.
Median
10.000
Value at position 9
Middle value when sorted. Robust to outliers.
Mode
2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0, 10.0, 11.0, 12.0, 13.0, 14.0, 15.0, 16.0, 17.0, 18.0
Frequency: 1
Most frequently occurring value(s).
Relationship Analysis
Mean ≈ Median: Approximately symmetric distribution
Mean - Median:
0.000
Mean - Mode:
8.000
Median - Mode:
8.000
Data Summary
Sample Size (n)
17
Minimum
2.00
Maximum
18.00
Range
16.00
Key Concepts
Mean: The arithmetic average. Sum all values and divide by count. Best for symmetric distributions without outliers.
Median: The middle value when data is sorted. For even n, average the two middle values. Best for skewed distributions or when outliers are present.
Mode: The most frequently occurring value(s). Can have multiple modes (bimodal, multimodal). Best for categorical or discrete data.
When to Use Each Measure
Use Mean: When data is symmetric, no outliers, and you need all values in calculation.
Use Median: When data is skewed, has outliers, or you need a robust measure.
Use Mode: For categorical data, finding most common category, or when you need the "typical" value.
Use All Three: Compare to understand distribution shape. Mean > Median indicates right skew, Mean < Median indicates left skew.
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