[Term Entry] Chi-Square Distribution

content/data-science/concepts/data-distributions/terms/chi-square-distribution/chi-square-distribution.md

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+---
+Title: 'Chi-Square Distribution'
+Description: 'The chi-square distribution is a continuous probability distribution used primarily in hypothesis testing and confidence interval estimation.'
+Subjects:
+  - 'Data Science'
+  - 'AI'
+Tags:
+  - 'Data Distributions'
+  - 'Chi-Square'
+  - 'Statistics'
+CatalogContent:
+  - 'learn-data-science'
+  - 'paths/data-science'
+---
+
+The **chi-square distribution** is derived from the sum of squared standard normal variables. It plays a crucial role in statistical tests, such as the chi-square test for independence and goodness of fit. The shape of the distribution varies with its degrees of freedom; for lower degrees of freedom, it is skewed, while higher degrees of freedom result in a more symmetric shape.
+
+## Example
+
+The example below demonstrates how to generate random samples from a chi-square distribution and visualize them with a [histogram](https://www.codecademy.com/learn/statistics-histograms). In this demonstration, [SciPy](https://www.codecademy.com/resources/docs/scipy) is used to generate the samples and [Matplotlib](https://www.codecademy.com/resources/docs/matplotlib) is used for plotting:
+
+```py
+import numpy as np
+import matplotlib.pyplot as plt
+from scipy.stats import chi2
+
+# Set the degrees of freedom
+df = 4
+
+# Generate 1,000 random samples from the chi-square distribution
+data = chi2.rvs(df, size=1000)
+
+# Plot the histogram
+plt.hist(data, bins=30, density=True, alpha=0.6, color='skyblue', edgecolor='black')
+plt.title(f"Chi-Square Distribution (df={df})")
+plt.xlabel("Value")
+plt.ylabel("Density")
+plt.show()
+```
+
+The above code generates a histogram illustrating the chi-square distribution:
+
+![The output for the above example](https://raw.githubusercontent.com/Codecademy/docs/main/media/chi-square-distribution.png)

documentation/tags.md

@@ -55,6 +55,7 @@ Calendar
 Catch
 Characters
 Charts
+Chi-Square
 Chatbots
 Cryptocurrency
 Classes
@@ -89,6 +90,7 @@ D3
 Deployment
 Dart
 Data
+Data Distributions
 Data Parallelism
 Data Structures
 Data Types