수학 학습

기술 통계

기술 통계 및 데이터 요약 이해

Interactive Descriptive Statistics Visualization

Welcome to the Descriptive Statistics Explorer

This interactive visualization helps you understand descriptive statistics including measures of central tendency, measures of spread, and data visualizations. Explore how different statistics describe your data.

What you can explore:

  • Central Tendency: Mean, median, mode
  • Spread: Range, variance, standard deviation, IQR
  • Visualizations: Histogram, box plot, scatter plot
  • Distribution Shape: Skewness and distribution characteristics

How to Use This Visualization

Interactive Features:

  • Enter Data - Input comma-separated values
  • Select Visualization - Choose histogram, box plot, or scatter plot
  • Adjust Bins - Control histogram granularity
  • View Statistics - See all calculated measures

What You'll See:

  • Histogram - Frequency distribution with mean line
  • Box Plot - Five-number summary visualization
  • Scatter Plot - Data points with mean line
  • Statistics Panel - All calculated measures

Enter numbers separated by commas. Current: 14 data points

Measures of Central Tendency

Mean (x̄)

8.500

Average value: Σx / n

Median

8.500

Middle value when sorted

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

Most frequent value(s)

Measures of Spread

Range

13.000

Max - Min

Variance (σ²)

16.250

Σ(x - x̄)² / n

Std Dev (σ)

4.031

√Variance

IQR

7.000

Q3 - Q1

Five-Number Summary

Minimum

2.00

Q1 (25%)

5.00

Median (50%)

8.50

Q3 (75%)

12.00

Maximum

15.00

Additional Statistics

Sample Size (n)

14

Skewness

0.000

Approximately symmetric

Key Concepts

Mean: Average of all values. Sensitive to outliers.

Median: Middle value when data is sorted. Robust to outliers.

Mode: Most frequently occurring value(s).

IQR: Interquartile Range (Q3 - Q1). Measures spread of middle 50% of data.

Visualization Types

Histogram: Shows frequency distribution. Bars represent frequency in each bin.

Box Plot: Shows five-number summary. Box represents IQR, line is median, whiskers extend to 1.5×IQR.

Scatter Plot: Shows individual data points. Useful for seeing distribution and outliers.

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기술 통계 | Maths Learning