{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Visualization Exercises with Matplotlib and Seaborn\n", "\n", "Data visualization is one of the most important tools in data analysis and data science. It not only allows us to explore and better understand the data, but it also helps us communicate findings effectively. Through graphs, we can detect patterns, relationships, and anomalies that would be difficult to identify with just numbers or tables." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# Import necessary libraries\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "import pandas as pd\n", "import numpy as np" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercise 1 - Simple Line Plot\n", "\n", "Suppose that in your office, it takes you 10 seconds to walk 25 meters leisurely to the coffee machine. If we want to express this situation as a linear function of distance with respect to time, we use the formula:\n", "\n", "$\n", "\\text{distance} = \\text{speed} \\times \\text{time}\n", "$\n", "\n", "Since the speed is constant, it represents the slope of the function and can be interpreted as the first derivative of distance with respect to time. That is, it indicates how fast the distance changes as time passes.\n", "\n", "- **Calculate the constant speed at which you walk:** We know that you walked 25 meters in 10 seconds. What is the speed (in meters/second)?\n", "- **Construct the linear function that describes how distance changes with time:** Use the formula `distance = speed × time` to calculate the distance traveled each second from 0 to 10.\n", "- **Use Matplotlib to plot how distance changes with time:** Add labels to the axes and a title to the plot." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.arange(0, 11) # array with values from 0 to 10\n", "velocity = 25 / 10 # 25 meters in 10 seconds\n", "\n", "y = velocity * x\n", "\n", "plt.plot(x, y, marker='o')\n", "plt.title(\"Distance traveled over time\")\n", "plt.xlabel(\"Time (seconds)\")\n", "plt.ylabel(\"Distance (meters)\")\n", "plt.grid(True)\n", "plt.scatter([10], [25], color='red', label='Destination')\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### What do you think would happen to the graph if you walked faster or slower? How would the slope change? Try changing the speed to 3 m/s and plot again." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.arange(0, 11) # array with values from 0 to 10\n", "velocity = 3\n", "y = velocity * x\n", "\n", "plt.plot(x, y, marker='o', color='orange', label=f\"Speed = {velocity} m/s\")\n", "plt.title(\"Speed Comparison: 2.5 m/s vs 3 m/s\")\n", "plt.xlabel(\"Time (seconds)\")\n", "plt.ylabel(\"Distance (meters)\")\n", "plt.grid(True)\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercise 2 - Visually Representing Categorical Data\n", "\n", "Imagine you are analyzing how many students are enrolled in different majors within a university. This data, which represents **categories** (the majors), is ideal for visualization using a **bar chart**.\n", "\n", "Below is a small dataset with the number of students per major." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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CareerStudents
0Engineering120
1Medicine80
2Law60
3Psychology100
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" ], "text/plain": [ " Career Students\n", "0 Engineering 120\n", "1 Medicine 80\n", "2 Law 60\n", "3 Psychology 100" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df_career = pd.DataFrame({\n", " 'Career': ['Engineering', 'Medicine', 'Law', 'Psychology'],\n", " 'Students': [120, 80, 60, 100]\n", "})\n", "\n", "df_career # Show the DataFrame" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "1. Graphically represent how many students are in each major using a vertical bar chart with Matplotlib.\n", "2. Label the axes correctly and add a descriptive title.\n", "3. Use a color that helps highlight the differences between categories." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.barplot(data=df_career, x='Career', y='Students', color='skyblue')\n", "plt.title(\"Number of students per career\")\n", "plt.xlabel(\"Career\")\n", "plt.ylabel(\"Students\")\n", "plt.xticks(rotation=45)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### What would happen if you use a **horizontal** bar chart? Is it more readable? Try to do it" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.barplot(data=df_career, y='Career', x='Students', color='skyblue')\n", "plt.title(\"Number of students per career\")\n", "plt.xlabel(\"Students\")\n", "plt.ylabel(\"Career\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercise 3: Visualizing Proportions with a Pie Chart\n", "\n", "Suppose you want to understand how students are distributed among different majors at a university. Although you have already represented this data with a bar chart, now you want to see **what percentage of the total each major represents**.\n", "\n", "A very common way to represent proportions is by using a **pie chart**, as it provides a quick and intuitive view of how the whole is divided.\n", "\n", "- Represent the data from `df_career` as a pie chart.\n", "- Show the **percentage** that each major represents of the total.\n", "- Add a **descriptive title** that explains what is being visualized.\n" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "labels = df_career['Career']\n", "sizes = df_career['Students']\n", "\n", "plt.figure(figsize=(6,6))\n", "plt.pie(sizes, labels=labels, autopct='%1.1f%%', startangle=90)\n", "plt.title(\"Percentage distribution of students by career\")\n", "plt.axis('equal')\n", "plt.show()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercise 4 - Exploring the Relationship Between Two Numerical Variables by Creating a Scatter Plot with Seaborn\n", "\n", "Imagine you are analyzing the characteristics of different flower species. Each flower has several measurements:\n", "\n", "- Sepal length\n", "- Sepal width\n", "- Petal length\n", "- Petal width\n", "- Species it belongs to\n", "\n", "An excellent way to **visualize the relationship between two numerical variables** is through a **scatter plot**.\n", "\n", "In this case, we will explore if there is a relationship between the `sepal length` and `sepal width`, and if this varies according to the flower species." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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sepal_lengthsepal_widthpetal_lengthpetal_widthspecies
05.5307032.5678702.6812362.078052virginica
15.4889352.7186146.6236031.139180versicolor
25.8385742.9204445.0897570.329074setosa
36.0971803.0037071.8404840.536012versicolor
45.5487932.7291553.8915040.223570virginica
..................
1455.6738042.8455124.1294071.279564versicolor
1466.3166693.0558685.0251380.379687setosa
1476.2597663.0006633.8831421.519978versicolor
1486.2996922.9828172.8989000.779707setosa
1496.5664092.9554683.4936241.518100versicolor
\n", "

150 rows × 5 columns

\n", "
" ], "text/plain": [ " sepal_length sepal_width petal_length petal_width species\n", "0 5.530703 2.567870 2.681236 2.078052 virginica\n", "1 5.488935 2.718614 6.623603 1.139180 versicolor\n", "2 5.838574 2.920444 5.089757 0.329074 setosa\n", "3 6.097180 3.003707 1.840484 0.536012 versicolor\n", "4 5.548793 2.729155 3.891504 0.223570 virginica\n", ".. ... ... ... ... ...\n", "145 5.673804 2.845512 4.129407 1.279564 versicolor\n", "146 6.316669 3.055868 5.025138 0.379687 setosa\n", "147 6.259766 3.000663 3.883142 1.519978 versicolor\n", "148 6.299692 2.982817 2.898900 0.779707 setosa\n", "149 6.566409 2.955468 3.493624 1.518100 versicolor\n", "\n", "[150 rows x 5 columns]" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df_iris = pd.DataFrame({ # DataFrame with random data\n", " 'sepal_length': np.random.normal(5.8, 0.4, 150),\n", " 'sepal_width': np.random.normal(3.0, 0.3, 150),\n", " 'petal_length': np.random.normal(3.7, 1.5, 150),\n", " 'petal_width': np.random.normal(1.2, 0.8, 150),\n", " 'species': np.random.choice(['setosa', 'versicolor', 'virginica'], 150)\n", "})\n", "\n", "df_iris # Show DataFrame" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "1. Create a scatter plot with `sepal_length` on the X-axis and `sepal_width` on the Y-axis.\n", "2. Use the `hue` argument to differentiate the flower species.\n", "3. Add a descriptive title.\n", "4. Adjust the size of the points or the color palette to make the plot clearer. **(Optional)**" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8,6))\n", "sns.scatterplot(data=df_iris, x='sepal_length', y='sepal_width', hue='species', palette='Set2')\n", "plt.title(\"Relationship between sepal length and width by species\")\n", "plt.xlabel(\"Sepal length (cm)\")\n", "plt.ylabel(\"Sepal width (cm)\")\n", "plt.grid(True)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercise 5 - Visualizing Distributions with Histograms\n", "\n", "In many cases, we are not only interested in the value of a variable but also in **how those values are distributed**.\n", "\n", "Histograms are a very useful visual tool to:\n", "\n", "- See if the data is **centered** or dispersed.\n", "- Detect **asymmetries** (e.g., if there are more low or high values).\n", "- Identify possible **outliers**.\n", "- Observe the **overall shape** of the distribution (normal, skewed, bimodal, etc.).\n", "\n", "Let's explore how the **petal length** (`petal_length`) is distributed in a flower dataset." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "df_iris.head() # Show DataFrame" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "1. Create a **histogram with `Seaborn`** to visualize the distribution of petal length (`petal_length`).\n", "2. Adjust the number of *bins* to have more or less detail.\n", "3. Add a title, labels, and a clear visual style." ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8, 5))\n", "sns.histplot(data=df_iris, x='petal_length', bins=20, kde=False, color='skyblue')\n", "plt.title(\"Distribution of petal length\")\n", "plt.xlabel(\"Petal length (cm)\")\n", "plt.ylabel(\"Frequency\")\n", "plt.grid(True)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Comparison by Species (Multiple Distributions)\n", "\n", "Now, compare the distribution of petal length for each flower species using `Seaborn` and the `hue` argument.\n", "\n", "This will allow you to analyze if there are **significant differences** between the groups." ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8, 5))\n", "sns.histplot(data=df_iris, x='petal_length', hue='species', bins=20, kde=True, palette='Set2', alpha=0.6)\n", "plt.title(\"Distribution of petal length by species\")\n", "plt.xlabel(\"Petal length (cm)\")\n", "plt.ylabel(\"Frequency\")\n", "plt.grid(True)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercise 6 - Visualizing Relationships with Heatmaps\n", "\n", "In data science, it is important to understand how variables relate to each other. A visual way to do this is by using heatmaps, especially on correlation matrices.\n", "\n", "In this exercise, we will visualize how the numerical variables in the `df_iris` dataset are related.\n", "\n", "1. Create a heatmap that shows the correlation between the numerical variables in the `df_iris` DataFrame. First, you need to calculate the correlation matrix using `.corr()`.\n", "2. Use the **seaborn** library to plot the heatmap.\n", "3. Enable the visualization of the values within the graph `(annot=True)`." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Calculate the correlation matrix\n", "correlation_matrix = df_iris.select_dtypes(include='number').corr()\n", "\n", "# Create the heatmap\n", "plt.figure(figsize=(8, 6))\n", "sns.heatmap(correlation_matrix, annot=True, cmap='coolwarm', fmt=\".2f\")\n", "plt.title('Heatmap of the correlation matrix')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercise 7 - Visualizing Distribution by Categories with Boxplot\n", "\n", "The boxplot allows us to compare how a numerical variable is distributed across different categories.\n", "\n", "We will compare the distribution of petal length (`petal_length`) among the different flower species in the `df_iris` dataset. The goal is to create a boxplot that compares the petal length (`petal_length`) across the different species (`species`).\n", "\n", "1. Use `seaborn.boxplot()` specifying the `x` axis with the species and the `y` axis with the petal length.\n", "2. It is recommended to use `plt.figure()` to adjust the size of the plot if necessary." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8, 6))\n", "sns.boxplot(x='species', y='petal_length', data=df_iris)\n", "plt.title('Boxplot of Petal Length by Species')\n", "plt.xlabel('Species')\n", "plt.ylabel('Petal Length (cm)')\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.4" } }, "nbformat": 4, "nbformat_minor": 2 }