{ "cells": [ { "cell_type": "markdown", "id": "0362a1eb-1e46-462a-b22c-f972c398741d", "metadata": { "nbgrader": { "grade": false, "grade_id": "cell-e3006ef8308b2f34", "locked": true, "schema_version": 3, "solution": false, "task": false } }, "source": [ "# 10. Programmierübung: Datenanalyse\n", "\n", "
\n", "
\n", " Willkommen zur zehnten Programmierübung Einführung in Python 3.\n", "
\n", " \n", "
\n", "\n", "Wenn Sie Fragen oder Verbesserungsvorschläge zum Inhalt oder Struktur der Notebooks haben, dann können sie eine E-Mail an Phil Keier ([p.keier@hbk-bs.de](mailto:p.keier@hbk-bs.de?subject=[SigSys]%20Feedback%20Programmierübung&)) oder Martin Le ([martin.le@tu-bs.de](mailto:martin.le@tu-bs.de?subject=[SigSys]%20Feedback%20Programmierübung&)) schreiben.\n", "\n", "Link zu einem Python Spickzettel: [hier](https://s3.amazonaws.com/assets.datacamp.com/blog_assets/PythonForDataScience.pdf)\n", "\n", "Der Großteil des Python-Tutorials stammt aus der Veranstaltung _Deep Learning Lab_ und von [www.python-kurs.eu](https://www.python-kurs.eu/python3_kurs.php) und wurde für _Signale und Systeme_, sowie _Einführung in die Programmierung für Nicht Informatiker_ angepasst.\n", "\n", "---" ] }, { "cell_type": "markdown", "id": "0a97a824-bc2f-4f9d-a730-42ff05828cc8", "metadata": { "nbgrader": { "grade": false, "grade_id": "cell-a5071e148ad2227c", "locked": true, "schema_version": 3, "solution": false, "task": false } }, "source": [ "# Data Analysis\n", "\n", "In dieser & letzter Aufgabe ist dir das Datenset `survey.csv` gegeben. Diese Übung dient als Vorbereitung auf die abschließende Prüfung und wird dieshingehend auch streng bewertet. Jede Aufgabe setzt sich aus 6 Punkten zusammen von denen jeweils 4 auf den Schriftteil und 2 Punkte auf den Programmatischen Teil fallen. \n", "\n", "Gegeben ist immer eine Hypothese, beweise/widerlege die Hypothese und zeige auch die Gegenhypothese auf. Stelle zu jeder Aufgabe Annahmen an, Erkläre kurz dein Vorgehen, Interpretiere dein Ergebniss, Schließe mit einem angemessenen Fazit ab und erkläre jede von dir selbst erstellte Grafik. Gebe auch alle verwendeten Quellen die benutzt wurden an. \n", "\n", "Da zahlen nicht Aussagen gilt auch, dass sofern der Schriftteil nicht beantwortet wurde die Aufgabe mit 0 Punkten bewertet wird.\n", "\n", "Antworten sind in Englisch & Deutsch möglich andere Sprachen werden nicht akzeptiert.\n", "\n", "Die Daten stammen aus folgender Umfrage [Survey](https://forms.gle/JVKq6FrSUE8kN7Jq6).\n", "\n", "---" ] }, { "cell_type": "markdown", "id": "ad9d17d9-dd59-4766-bb46-de4df822ce0f", "metadata": { "nbgrader": { "grade": false, "grade_id": "cell-3da446eb91bdd35d", "locked": true, "schema_version": 3, "solution": false, "task": false } }, "source": [ "# Hypothesis 1\n", "\n", "Der Kurs besteht überwiegend aus männlichen Individuum, welche überwiegend Windows verwenden und sich überpropotional als gute Programmierer einschätzen." ] }, { "cell_type": "code", "execution_count": 2, "id": "8e24289e-a738-4ae4-a6d4-a936263120fc", "metadata": { "nbgrader": { "grade": true, "grade_id": "cell-a6a23c7c132e44d9", "locked": false, "points": 2, "schema_version": 3, "solution": true, "task": false } }, "outputs": [ { "data": { "text/html": [ "
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ZeitstempelWie Alt bist du?Bewerte deine bisherige Erfahrung mit Gruppenarbeiten an der UniversitätWelches Geschlecht hast du?Was studieren du?Auf einer Skala von 1-5 (1 - absolut unzufrieden, 5 - absolut zufrieden), wie beurteilst du deinen Studiengang?Nutzt du ein Smartphone?Wenn Ja, von welcher Marke ist ihr Smartphone?Bewerte die allgemeine Politische Situation in Deutschland.Auf einer Skala von 1-5 (1 - Sehr gut, 5 - Garnicht), wie gut schätzen du dich selbst ein die Programmiersprache Python zu beherrschen ?Besitzen du einen Heimrechner (Laptop, Standrechner, etc.; Kein Smartphone!)Wenn Ja, welches Betriebsystem verwendst du?Ich habe mich (in meinem bisherigen leben) mindestens einmal strukturell benachteiligt gefühlt.Auf einer Skala von 1-5 (5 Sehr gut, 1 Garnicht), wie gut schätz du dich selbst ein Programmieren zu können?Ich komme aus...
02025/01/17 3:01:58 PM MEZ223WeiblichMedienwissenschaften2JaApple13JaWindows 11Ja2dem normalem Mittelstand
12025/01/17 3:02:20 PM MEZ233WeiblichMedienwissenschaften4JaApple24JaMac OSJa2Einem sehr gut situierten Haushalt
22025/01/17 3:02:20 PM MEZ303MännlichMedienwissenschaften3JaSonstige33JaWindows 11Nein3dem normalem Mittelstand
32025/01/17 3:02:24 PM MEZ214WeiblichMedienwissenschaften3JaApple24JaMac OSJa4dem normalem Mittelstand
42025/01/17 3:02:26 PM MEZ274WeiblichMedienwissenschaften2JaSamsung24JaMac OSJa3ärmlichen Verhältnissen
52025/01/17 3:02:31 PM MEZ212WeiblichSonstige4JaApple34JaMac OSNein4dem normalem Mittelstand
62025/01/17 3:02:43 PM MEZ222WeiblichMedienwissenschaften3JaApple25JaMac OSJa1dem normalem Mittelstand
72025/01/17 3:02:44 PM MEZ233WeiblichSonstige3JaSonstige23JaMac OSJa3dem normalem Mittelstand
82025/01/17 3:02:46 PM MEZ213WeiblichMedienwissenschaften3JaApple24JaWindows 11Ja2dem normalem Mittelstand
92025/01/17 3:02:58 PM MEZ222WeiblichMedienwissenschaften3JaApple24JaWindows 11Ja2ärmlichen Verhältnissen
102025/01/17 3:02:59 PM MEZ214WeiblichMedienwissenschaften3JaApple24JaWindows 11Ja2dem normalem Mittelstand
112025/01/17 3:03:00 PM MEZ243WeiblichMedienwissenschaften3JaApple13JaWindows 10Nein1dem normalem Mittelstand
122025/01/17 3:03:07 PM MEZ254WeiblichMedienwissenschaften3JaApple23JaWindows 10Ja3dem normalem Mittelstand
132025/01/17 3:03:14 PM MEZ243WeiblichMedienwissenschaften3JaApple13JaMac OSJa3dem normalem Mittelstand
142025/01/17 3:03:18 PM MEZ213WeiblichMedienwissenschaften3JaApple34JaMac OSJa2dem normalem Mittelstand
152025/01/17 3:03:26 PM MEZ213WeiblichMedienwissenschaften3JaApple24JaWindows 10Nein2dem normalem Mittelstand
162025/01/17 3:03:28 PM MEZ212WeiblichMedienwissenschaften2JaApple32JaMac OSNein3Einem sehr gut situierten Haushalt
172025/01/17 3:03:31 PM MEZ224WeiblichMedienwissenschaften5JaApple34JaWindows 10Ja2dem normalem Mittelstand
182025/01/17 3:03:31 PM MEZ203WeiblichMedienwissenschaften3JaApple24JaWindows 10Nein2dem normalem Mittelstand
192025/01/17 3:04:07 PM MEZ213WeiblichSonstige4JaApple23JaWindows 11Ja2dem normalem Mittelstand
202025/01/17 3:04:11 PM MEZ233WeiblichSonstige4JaApple13JaMac OSJa3dem normalem Mittelstand
212025/01/17 3:04:13 PM MEZ263MännlichSonstige4JaApple23JaWindows 10Ja3dem normalem Mittelstand
222025/01/17 3:07:39 PM MEZ214WeiblichMedienwissenschaften4JaApple23JaMac OSJa2dem normalem Mittelstand
232025/01/17 3:11:27 PM MEZ2043WeiblichMedienwissenschaften3JaApple24JaMac OSJa1ärmlichen Verhältnissen
242025/01/17 3:11:54 PM MEZ213WeiblichMedienwissenschaften4JaXiaomi33JaWindows 11Nein2dem normalem Mittelstand
252025/01/17 3:49:36 PM MEZ193WeiblichMedienwissenschaften3JaSamsung34JaWindows 11Nein3dem normalem Mittelstand
\n", "
" ], "text/plain": [ " Zeitstempel Wie Alt bist du? \\\n", "0 2025/01/17 3:01:58 PM MEZ 22 \n", "1 2025/01/17 3:02:20 PM MEZ 23 \n", "2 2025/01/17 3:02:20 PM MEZ 30 \n", "3 2025/01/17 3:02:24 PM MEZ 21 \n", "4 2025/01/17 3:02:26 PM MEZ 27 \n", "5 2025/01/17 3:02:31 PM MEZ 21 \n", "6 2025/01/17 3:02:43 PM MEZ 22 \n", "7 2025/01/17 3:02:44 PM MEZ 23 \n", "8 2025/01/17 3:02:46 PM MEZ 21 \n", "9 2025/01/17 3:02:58 PM MEZ 22 \n", "10 2025/01/17 3:02:59 PM MEZ 21 \n", "11 2025/01/17 3:03:00 PM MEZ 24 \n", "12 2025/01/17 3:03:07 PM MEZ 25 \n", "13 2025/01/17 3:03:14 PM MEZ 24 \n", "14 2025/01/17 3:03:18 PM MEZ 21 \n", "15 2025/01/17 3:03:26 PM MEZ 21 \n", "16 2025/01/17 3:03:28 PM MEZ 21 \n", "17 2025/01/17 3:03:31 PM MEZ 22 \n", "18 2025/01/17 3:03:31 PM MEZ 20 \n", "19 2025/01/17 3:04:07 PM MEZ 21 \n", "20 2025/01/17 3:04:11 PM MEZ 23 \n", "21 2025/01/17 3:04:13 PM MEZ 26 \n", "22 2025/01/17 3:07:39 PM MEZ 21 \n", "23 2025/01/17 3:11:27 PM MEZ 204 \n", "24 2025/01/17 3:11:54 PM MEZ 21 \n", "25 2025/01/17 3:49:36 PM MEZ 19 \n", "\n", " Bewerte deine bisherige Erfahrung mit Gruppenarbeiten an der Universität \\\n", "0 3 \n", "1 3 \n", "2 3 \n", "3 4 \n", "4 4 \n", "5 2 \n", "6 2 \n", "7 3 \n", "8 3 \n", "9 2 \n", "10 4 \n", "11 3 \n", "12 4 \n", "13 3 \n", "14 3 \n", "15 3 \n", "16 2 \n", "17 4 \n", "18 3 \n", "19 3 \n", "20 3 \n", "21 3 \n", "22 4 \n", "23 3 \n", "24 3 \n", "25 3 \n", "\n", " Welches Geschlecht hast du? Was studieren du? \\\n", "0 Weiblich Medienwissenschaften \n", "1 Weiblich Medienwissenschaften \n", "2 Männlich Medienwissenschaften \n", "3 Weiblich Medienwissenschaften \n", "4 Weiblich Medienwissenschaften \n", "5 Weiblich Sonstige \n", "6 Weiblich Medienwissenschaften \n", "7 Weiblich Sonstige \n", "8 Weiblich Medienwissenschaften \n", "9 Weiblich Medienwissenschaften \n", "10 Weiblich Medienwissenschaften \n", "11 Weiblich Medienwissenschaften \n", "12 Weiblich Medienwissenschaften \n", "13 Weiblich Medienwissenschaften \n", "14 Weiblich Medienwissenschaften \n", "15 Weiblich Medienwissenschaften \n", "16 Weiblich Medienwissenschaften \n", "17 Weiblich Medienwissenschaften \n", "18 Weiblich Medienwissenschaften \n", "19 Weiblich Sonstige \n", "20 Weiblich Sonstige \n", "21 Männlich Sonstige \n", "22 Weiblich Medienwissenschaften \n", "23 Weiblich Medienwissenschaften \n", "24 Weiblich Medienwissenschaften \n", "25 Weiblich Medienwissenschaften \n", "\n", " Auf einer Skala von 1-5 (1 - absolut unzufrieden, 5 - absolut zufrieden), wie beurteilst du deinen Studiengang? \\\n", "0 2 \n", "1 4 \n", "2 3 \n", "3 3 \n", "4 2 \n", "5 4 \n", "6 3 \n", "7 3 \n", "8 3 \n", "9 3 \n", "10 3 \n", "11 3 \n", "12 3 \n", "13 3 \n", "14 3 \n", "15 3 \n", "16 2 \n", "17 5 \n", "18 3 \n", "19 4 \n", "20 4 \n", "21 4 \n", "22 4 \n", "23 3 \n", "24 4 \n", "25 3 \n", "\n", " Nutzt du ein Smartphone? Wenn Ja, von welcher Marke ist ihr Smartphone? \\\n", "0 Ja Apple \n", "1 Ja Apple \n", "2 Ja Sonstige \n", "3 Ja Apple \n", "4 Ja Samsung \n", "5 Ja Apple \n", "6 Ja Apple \n", "7 Ja Sonstige \n", "8 Ja Apple \n", "9 Ja Apple \n", "10 Ja Apple \n", "11 Ja Apple \n", "12 Ja Apple \n", "13 Ja Apple \n", "14 Ja Apple \n", "15 Ja Apple \n", "16 Ja Apple \n", "17 Ja Apple \n", "18 Ja Apple \n", "19 Ja Apple \n", "20 Ja Apple \n", "21 Ja Apple \n", "22 Ja Apple \n", "23 Ja Apple \n", "24 Ja Xiaomi \n", "25 Ja Samsung \n", "\n", " Bewerte die allgemeine Politische Situation in Deutschland. \\\n", "0 1 \n", "1 2 \n", "2 3 \n", "3 2 \n", "4 2 \n", "5 3 \n", "6 2 \n", "7 2 \n", "8 2 \n", "9 2 \n", "10 2 \n", "11 1 \n", "12 2 \n", "13 1 \n", "14 3 \n", "15 2 \n", "16 3 \n", "17 3 \n", "18 2 \n", "19 2 \n", "20 1 \n", "21 2 \n", "22 2 \n", "23 2 \n", "24 3 \n", "25 3 \n", "\n", " Auf einer Skala von 1-5 (1 - Sehr gut, 5 - Garnicht), wie gut schätzen du dich selbst ein die Programmiersprache Python zu beherrschen ? \\\n", "0 3 \n", "1 4 \n", "2 3 \n", "3 4 \n", "4 4 \n", "5 4 \n", "6 5 \n", "7 3 \n", "8 4 \n", "9 4 \n", "10 4 \n", "11 3 \n", "12 3 \n", "13 3 \n", "14 4 \n", "15 4 \n", "16 2 \n", "17 4 \n", "18 4 \n", "19 3 \n", "20 3 \n", "21 3 \n", "22 3 \n", "23 4 \n", "24 3 \n", "25 4 \n", "\n", " Besitzen du einen Heimrechner (Laptop, Standrechner, etc.; Kein Smartphone!) \\\n", "0 Ja \n", "1 Ja \n", "2 Ja \n", "3 Ja \n", "4 Ja \n", "5 Ja \n", "6 Ja \n", "7 Ja \n", "8 Ja \n", "9 Ja \n", "10 Ja \n", "11 Ja \n", "12 Ja \n", "13 Ja \n", "14 Ja \n", "15 Ja \n", "16 Ja \n", "17 Ja \n", "18 Ja \n", "19 Ja \n", "20 Ja \n", "21 Ja \n", "22 Ja \n", "23 Ja \n", "24 Ja \n", "25 Ja \n", "\n", " Wenn Ja, welches Betriebsystem verwendst du? \\\n", "0 Windows 11 \n", "1 Mac OS \n", "2 Windows 11 \n", "3 Mac OS \n", "4 Mac OS \n", "5 Mac OS \n", "6 Mac OS \n", "7 Mac OS \n", "8 Windows 11 \n", "9 Windows 11 \n", "10 Windows 11 \n", "11 Windows 10 \n", "12 Windows 10 \n", "13 Mac OS \n", "14 Mac OS \n", "15 Windows 10 \n", "16 Mac OS \n", "17 Windows 10 \n", "18 Windows 10 \n", "19 Windows 11 \n", "20 Mac OS \n", "21 Windows 10 \n", "22 Mac OS \n", "23 Mac OS \n", "24 Windows 11 \n", "25 Windows 11 \n", "\n", " Ich habe mich (in meinem bisherigen leben) mindestens einmal strukturell benachteiligt gefühlt. \\\n", "0 Ja \n", "1 Ja \n", "2 Nein \n", "3 Ja \n", "4 Ja \n", "5 Nein \n", "6 Ja \n", "7 Ja \n", "8 Ja \n", "9 Ja \n", "10 Ja \n", "11 Nein \n", "12 Ja \n", "13 Ja \n", "14 Ja \n", "15 Nein \n", "16 Nein \n", "17 Ja \n", "18 Nein \n", "19 Ja \n", "20 Ja \n", "21 Ja \n", "22 Ja \n", "23 Ja \n", "24 Nein \n", "25 Nein \n", "\n", " Auf einer Skala von 1-5 (5 Sehr gut, 1 Garnicht), wie gut schätz du dich selbst ein Programmieren zu können? \\\n", "0 2 \n", "1 2 \n", "2 3 \n", "3 4 \n", "4 3 \n", "5 4 \n", "6 1 \n", "7 3 \n", "8 2 \n", "9 2 \n", "10 2 \n", "11 1 \n", "12 3 \n", "13 3 \n", "14 2 \n", "15 2 \n", "16 3 \n", "17 2 \n", "18 2 \n", "19 2 \n", "20 3 \n", "21 3 \n", "22 2 \n", "23 1 \n", "24 2 \n", "25 3 \n", "\n", " Ich komme aus... \n", "0 dem normalem Mittelstand \n", "1 Einem sehr gut situierten Haushalt \n", "2 dem normalem Mittelstand \n", "3 dem normalem Mittelstand \n", "4 ärmlichen Verhältnissen \n", "5 dem normalem Mittelstand \n", "6 dem normalem Mittelstand \n", "7 dem normalem Mittelstand \n", "8 dem normalem Mittelstand \n", "9 ärmlichen Verhältnissen \n", "10 dem normalem Mittelstand \n", "11 dem normalem Mittelstand \n", "12 dem normalem Mittelstand \n", "13 dem normalem Mittelstand \n", "14 dem normalem Mittelstand \n", "15 dem normalem Mittelstand \n", "16 Einem sehr gut situierten Haushalt \n", "17 dem normalem Mittelstand \n", "18 dem normalem Mittelstand \n", "19 dem normalem Mittelstand \n", "20 dem normalem Mittelstand \n", "21 dem normalem Mittelstand \n", "22 dem normalem Mittelstand \n", "23 ärmlichen Verhältnissen \n", "24 dem normalem Mittelstand \n", "25 dem normalem Mittelstand " ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "### BEGIN SOLUTION\n", "### END SOLUTION" ] }, { "cell_type": "markdown", "id": "80cf1c27-644a-4538-abbc-7d5f524251d7", "metadata": { "nbgrader": { "grade": true, "grade_id": "cell-9cbb6c488a06eb18", "locked": false, "points": 4, "schema_version": 3, "solution": true, "task": false } }, "source": [] }, { "cell_type": "markdown", "id": "171340b9-0302-4c7c-ac85-f81d1e57a9da", "metadata": { "nbgrader": { "grade": false, "grade_id": "cell-3fc34b3f943dfa4b", "locked": true, "schema_version": 3, "solution": false, "task": false } }, "source": [ "# Hypothesis 2\n", "\n", "Geisteswissenschaftliche Studierende neigen dazu das Betriebsystem Mac Os zu verwenden. Unteranderem wird auch angenommen, dass diese Gruppe überwiegend das Smartphone Betriebsystem Android verwendet. Daraus ableitend ist anzunehmen das diese Gruppe sich selbst als mittelmäßige Python Programmierer einschätzt." ] }, { "cell_type": "code", "execution_count": 5, "id": "98fb0abc-0d50-4f4c-aeb0-16b056aeeabf", "metadata": { "nbgrader": { "grade": true, "grade_id": "cell-b28aca63b8048f70", "locked": false, "points": 2, "schema_version": 3, "solution": true, "task": false } }, "outputs": [], "source": [ "### BEGIN SOLUTION\n", "\n", "### END SOLUTION" ] }, { "cell_type": "markdown", "id": "7ae161df-8dd8-4828-99cc-3ba28d2bf9dd", "metadata": { "nbgrader": { "grade": true, "grade_id": "cell-016f2b30651bea18", "locked": false, "points": 4, "schema_version": 3, "solution": true, "task": false } }, "source": [] }, { "cell_type": "markdown", "id": "3b77bda1-5851-4394-81c7-fd649cb980e5", "metadata": { "nbgrader": { "grade": false, "grade_id": "cell-fae767f8aab85e92", "locked": true, "schema_version": 3, "solution": false, "task": false } }, "source": [ "# Hypothesis 3\n", "\n", "Studierende aus gut situierten Haushalten neigen dazu Gruppenarbeiten an der Uni als schlecht einzuschätzen. Insbesondere dann wenn Sie sich selbst als Gute Programmierer einschätzen." ] }, { "cell_type": "code", "execution_count": 6, "id": "0d74bd0d-e83e-4211-bc58-b9615e36b848", "metadata": { "nbgrader": { "grade": true, "grade_id": "cell-34a9cdeebcf2d7b9", "locked": false, "points": 2, "schema_version": 3, "solution": true, "task": false } }, "outputs": [], "source": [ "### BEGIN SOLUTION\n", "### END SOLUTION" ] }, { "cell_type": "markdown", "id": "b9bb8c23-e161-492c-b1ee-9cc4c21c2325", "metadata": { "nbgrader": { "grade": true, "grade_id": "cell-81264718d58ae0f6", "locked": false, "points": 4, "schema_version": 3, "solution": true, "task": false } }, "source": [] }, { "cell_type": "markdown", "id": "3fa617bb-77dd-4c43-b30b-b422eac770ef", "metadata": { "nbgrader": { "grade": false, "grade_id": "cell-d532947366781d90", "locked": true, "schema_version": 3, "solution": false, "task": false } }, "source": [ "# Hypothesis 4\n", "\n", "Personen die bereits strukturelle Benachteiligung erfahren haben sind meistens älter als der Durschnitt der Samplegruppe und in ärmlicheren Verhältnissen aufgewachsen. Ihr bevorzugtes Smartphone ist ein Samsung." ] }, { "cell_type": "code", "execution_count": 7, "id": "18467418-586b-4153-9066-0de730994e8e", "metadata": { "nbgrader": { "grade": true, "grade_id": "cell-5284bedc957436b3", "locked": false, "points": 2, "schema_version": 3, "solution": true, "task": false } }, "outputs": [], "source": [ "### BEGIN SOLUTION\n", "### END SOLUTION" ] }, { "cell_type": "markdown", "id": "3f5dace2-5a13-4806-946c-0d0e4c9bc307", "metadata": { "nbgrader": { "grade": true, "grade_id": "cell-90f0108fe83268c7", "locked": false, "points": 4, "schema_version": 3, "solution": true, "task": false } }, "source": [] }, { "cell_type": "markdown", "id": "c6fdcfa2-5507-4c85-b262-c83e6b1074ee", "metadata": { "nbgrader": { "grade": false, "grade_id": "cell-6ace0ffb9a32d3b1", "locked": true, "schema_version": 3, "solution": false, "task": false } }, "source": [ "## Hypothesis 5\n", "\n", "Jüngere Studierende betrachten die zurzeitige Politische Situation in Deutschland als schlecht. Unteranderem deshalb bewerten Sie Gruppenarbeiten als etwas gutes, da so ihr sozialer Zusammenhalt gestärkt wird" ] }, { "cell_type": "code", "execution_count": 8, "id": "5a76e273-a649-4bdf-ba8d-bc1351d0ec08", "metadata": { "nbgrader": { "grade": true, "grade_id": "cell-18c2e79244ca1beb", "locked": false, "points": 2, "schema_version": 3, "solution": true, "task": false } }, "outputs": [], "source": [ "### BEGIN SOLUTION\n", "### END SOLUTION" ] }, { "cell_type": "markdown", "id": "8bd2c8fa-801a-4c0a-8754-61bdc2f8127b", "metadata": { "nbgrader": { "grade": true, "grade_id": "cell-a421f0cc1a31c697", "locked": false, "points": 4, "schema_version": 3, "solution": true, "task": false } }, "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.12.8" } }, "nbformat": 4, "nbformat_minor": 5 }