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<!DOCTYPE html>
<!--
Demo: Statistik — Notenverteilung Klasse 7
Profil: profiles/statistik.md
Demonstriert: Eingebettete Datentabelle, Inline-SVG-Säulendiagramm,
numerische Selbst-Korrektur mit Toleranz, Rechenweg-Lösung.
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<html lang="de">
<head>
<meta charset="UTF-8"><meta name="viewport" content="width=device-width, initial-scale=1, viewport-fit=cover">
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<body>
<header class="topbar">
<span class="topbar__title">Statistik · Mathe 7</span>
<span class="save-status"><span class="save-dot" id="save-dot"></span><span id="save-label">Gespeichert</span></span>
<button class="tb-btn tb-btn--reset" data-action="reset">↺ Reset</button>
</header>
<article class="page">
<header class="page-header">
<span class="ue-label">Mathematik · Klasse 7 · Statistik</span>
<h1>Notenverteilung in unserer Klasse</h1>
</header>
<div class="content">
<div class="box">
<span class="box-title">ℹ️ Worum geht's?</span>
<p>Du wertest die Notenverteilung einer Klassenarbeit aus. Berechne Anzahl,
Mittelwert, Median und Modalwert. Tipp: gib dezimale Antworten mit Punkt (z. B. 2.85).</p>
</div>
<h2>Die Daten</h2>
<p>Notenverteilung der letzten Mathearbeit (n = 25):</p>
<table class="daten-tabelle" id="noten">
<thead><tr><th>Note</th><th>Anzahl Schüler:innen</th></tr></thead>
<tbody>
<tr><td>1</td><td class="num">2</td></tr>
<tr><td>2</td><td class="num">6</td></tr>
<tr><td>3</td><td class="num">9</td></tr>
<tr><td>4</td><td class="num">5</td></tr>
<tr><td>5</td><td class="num">2</td></tr>
<tr><td>6</td><td class="num">1</td></tr>
</tbody>
</table>
<div class="diagramm">
<svg viewBox="0 0 400 240" role="img" aria-label="Säulendiagramm Notenverteilung" id="diagramm-svg"></svg>
</div>
<h2>Aufgaben</h2>
<article class="aufgabe" data-task-id="a1">
<header class="aufgabe__header"><span class="aufgabe__nr">1</span><h3 class="aufgabe__titel">Wie viele Schüler:innen haben mitgeschrieben?</h3></header>
<div class="aufgabe__body">
<input type="number" data-state="a1-a" data-expected="25" step="1">
<span class="feedback" data-feedback-for="a1-a"></span>
</div>
</article>
<article class="aufgabe" data-task-id="a2">
<header class="aufgabe__header"><span class="aufgabe__nr">2</span><h3 class="aufgabe__titel">Berechne den Mittelwert (auf 2 Nachkommastellen)</h3></header>
<div class="aufgabe__body">
<p>Tipp: Mittelwert = (Summe aller Noten) / (Anzahl)</p>
<input type="number" data-state="a2-a" data-expected="2.96" data-tolerance="0.05" step="0.01" placeholder="z. B. 2.96">
<span class="feedback" data-feedback-for="a2-a"></span>
<div class="reveal-actions"><button class="reveal-btn" data-action="solution" data-task-id="a2">🔍 Rechenweg</button></div>
<div class="solution-content" data-task-id="a2" hidden>
<p>Summe = 1·2 + 2·6 + 3·9 + 4·5 + 5·2 + 6·1<br>
= 2 + 12 + 27 + 20 + 10 + 6 = 77</p>
<p>Mittelwert = 77 / 25 = <strong>3,08</strong></p>
<p class="hint" style="color:var(--fg-muted);font-size:var(--fs-sm)">(Mit Toleranz ±0,05 ist auch 3,07–3,13 akzeptiert)</p>
</div>
</div>
</article>
<article class="aufgabe" data-task-id="a3">
<header class="aufgabe__header"><span class="aufgabe__nr">3</span><h3 class="aufgabe__titel">Bestimme den Median</h3></header>
<div class="aufgabe__body">
<p>Tipp: Bei 25 Werten ist der Median die Note an Stelle 13 (mittlerer Wert).<br>
Zähle ab Note 1: 2 + 6 = 8, dann + 9 = 17. Note 3 enthält also die Stelle 13.</p>
<input type="number" data-state="a3-a" data-expected="3" step="1">
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<div class="solution-content" data-task-id="a3" hidden>
<p>Bei 25 Werten ist der Median an Position (25+1)/2 = 13.</p>
<p>Sortiert: 2× Note 1 (Plätze 1-2), 6× Note 2 (Plätze 3-8), 9× Note 3 (Plätze 9-17).</p>
<p>Position 13 liegt in „Note 3"-Block → Median = <strong>3</strong></p>
</div>
</div>
</article>
<article class="aufgabe" data-task-id="a4">
<header class="aufgabe__header"><span class="aufgabe__nr">4</span><h3 class="aufgabe__titel">Wie heißt der Modalwert (häufigste Note)?</h3></header>
<div class="aufgabe__body">
<input type="number" data-state="a4-a" data-expected="3" step="1">
<span class="feedback" data-feedback-for="a4-a"></span>
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<div class="solution-content" data-task-id="a4" hidden>
Die häufigste Note ist die <strong>3</strong> (kommt 9-mal vor — der höchste Säulen-Balken im Diagramm).
</div>
</div>
</article>
<article class="aufgabe" data-task-id="a5">
<header class="aufgabe__header"><span class="aufgabe__nr">★ 5</span><h3 class="aufgabe__titel">Wie viel Prozent haben „4 oder schlechter"?</h3></header>
<div class="aufgabe__body">
<p>Auf 1 Nachkommastelle.</p>
<input type="number" data-state="a5-a" data-expected="32" data-tolerance="0.5" step="0.1" placeholder="z. B. 32"> %
<span class="feedback" data-feedback-for="a5-a"></span>
<div class="reveal-actions"><button class="reveal-btn" data-action="solution" data-task-id="a5">🔍 Rechenweg</button></div>
<div class="solution-content" data-task-id="a5" hidden>
Anzahl mit Note ≥ 4: 5 + 2 + 1 = 8<br>
Anteil = 8 / 25 = 0,32 = <strong>32 %</strong>
</div>
</div>
</article>
</div>
</article>
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