import React, { useRef, useState, useEffect } from "react";
import {
  ArrowDown,
  Check,
  BookOpen,
  Target,
  BarChart3,
  Calculator,
  Layers,
  TrendingUp,
} from "lucide-react";
import FrequencyMeanWidget from "../../../components/lessons/FrequencyMeanWidget";
import HistogramBuilderWidget from "../../../components/lessons/HistogramBuilderWidget";
import BoxPlotAnatomyWidget from "../../../components/lessons/BoxPlotAnatomyWidget";
import BoxPlotComparisonWidget from "../../../components/lessons/BoxPlotComparisonWidget";
import DataModifierWidget from "../../../components/lessons/DataModifierWidget";
import Quiz from "../../../components/lessons/Quiz";
import {
  DATA_REP_QUIZ_DATA,
  CENTER_SPREAD_QUIZ_DATA,
  DISTRIBUTIONS_QUIZ_DATA,
} from "../../../utils/constants";
import { Frac } from "../../../components/Math";

interface LessonProps {
  onFinish?: () => void;
}

const DataRepresentationLesson: React.FC<LessonProps> = ({ onFinish }) => {
  const [activeSection, setActiveSection] = useState(0);
  const sectionsRef = useRef<(HTMLElement | null)[]>([]);

  const scrollToSection = (index: number) => {
    setActiveSection(index);
    sectionsRef.current[index]?.scrollIntoView({
      behavior: "smooth",
      block: "start",
    });
  };

  useEffect(() => {
    const observer = new IntersectionObserver(
      (entries) => {
        entries.forEach((entry) => {
          if (entry.isIntersecting) {
            const index = sectionsRef.current.indexOf(
              entry.target as HTMLElement,
            );
            if (index !== -1) {
              setActiveSection(index);
            }
          }
        });
      },
      { rootMargin: "-20% 0px -60% 0px" },
    );

    sectionsRef.current.forEach((section) => {
      if (section) observer.observe(section);
    });

    return () => observer.disconnect();
  }, []);

  const SectionMarker = ({
    index,
    title,
    icon: Icon,
  }: {
    index: number;
    title: string;
    icon: any;
  }) => {
    const isActive = activeSection === index;
    const isPast = activeSection > index;
    return (
      <button
        onClick={() => scrollToSection(index)}
        className={`flex items-center gap-3 p-3 w-full rounded-lg transition-all ${
          isActive
            ? "bg-white shadow-md border border-amber-100"
            : "hover:bg-slate-100"
        }`}
      >
        <div
          className={`w-8 h-8 rounded-full flex items-center justify-center shrink-0 ${
            isActive
              ? "bg-amber-600 text-white"
              : isPast
                ? "bg-amber-400 text-white"
                : "bg-slate-200 text-slate-500"
          }`}
        >
          {isPast ? (
            <Check className="w-4 h-4" />
          ) : (
            <Icon className="w-4 h-4" />
          )}
        </div>
        <div className="text-left">
          <p
            className={`text-sm font-bold ${isActive ? "text-amber-900" : "text-slate-600"}`}
          >
            {title}
          </p>
        </div>
      </button>
    );
  };

  const allQuizzes = [
    ...DATA_REP_QUIZ_DATA,
    ...CENTER_SPREAD_QUIZ_DATA,
    ...DISTRIBUTIONS_QUIZ_DATA,
  ];

  return (
    <div className="flex flex-col lg:flex-row min-h-screen">
      <aside className="w-full lg:w-64 lg:fixed lg:top-20 lg:bottom-0 lg:overflow-y-auto p-4 border-r border-slate-200 bg-slate-50 lg:bg-transparent z-0 hidden lg:block">
        <nav className="space-y-2">
          <SectionMarker index={0} title="Frequency & Mean" icon={Calculator} />
          <SectionMarker index={1} title="Histograms" icon={BarChart3} />
          <SectionMarker index={2} title="Box Plots" icon={Layers} />
          <SectionMarker index={3} title="Center & Spread" icon={TrendingUp} />
          <SectionMarker
            index={4}
            title="Effects of Change"
            icon={Calculator}
          />
          <SectionMarker index={5} title="Comparisons" icon={Target} />
          <SectionMarker index={6} title="Practice" icon={BookOpen} />
        </nav>
      </aside>

      <div className="flex-1 lg:ml-64 p-6 md:p-12 max-w-4xl mx-auto">
        {/* Section 1: Frequency & Mean */}
        <section
          ref={(el) => {
            sectionsRef.current[0] = el;
          }}
          className="min-h-screen flex flex-col justify-center mb-24 pt-20 lg:pt-0"
        >
          <h2 className="text-4xl font-extrabold text-slate-900 mb-6">
            Frequency Tables & Weighted Mean
          </h2>
          <div className="prose prose-slate text-lg text-slate-600 mb-8">
            <p>
              When calculating the mean from a table, you must use a{" "}
              <strong>weighted mean</strong>. Simply adding the values in the
              first column is a common trap! You must multiply each value by its
              frequency first.
            </p>
          </div>

          <div className="bg-amber-50 border border-amber-200 rounded-2xl p-6 mb-8">
            <h3 className="text-lg font-bold text-amber-900 mb-3">
              The Weighted Mean Formula
            </h3>
            <div className="bg-white rounded-xl p-4 text-center mb-4 border border-amber-100">
              <p className="text-xl font-mono font-bold text-amber-800">
                Weighted Mean ={" "}
                <Frac n="Σ(value × frequency)" d="Σ(frequency)" />
              </p>
            </div>
            <p className="text-slate-600 text-base">
              For each row, multiply the value by its frequency count. Sum all
              those products, then divide by the total number of data points
              (the sum of all frequencies).
            </p>
            <div className="mt-4 bg-red-50 border border-red-200 rounded-xl p-4">
              <p className="text-red-800 font-bold text-sm">
                Common SAT Trap: Do NOT average the values in the first column
                directly. That ignores how many times each value appears and
                will almost always give the wrong answer.
              </p>
            </div>
          </div>

          <FrequencyMeanWidget />

          <button
            onClick={() => scrollToSection(1)}
            className="mt-12 group flex items-center text-amber-600 font-bold hover:text-amber-800 transition-colors"
          >
            Next: Histograms{" "}
            <ArrowDown className="ml-2 w-5 h-5 group-hover:translate-y-1 transition-transform" />
          </button>
        </section>

        {/* Section 2: Histograms */}
        <section
          ref={(el) => {
            sectionsRef.current[1] = el;
          }}
          className="min-h-screen flex flex-col justify-center mb-24"
        >
          <h2 className="text-4xl font-extrabold text-slate-900 mb-6">
            Histograms
          </h2>
          <div className="prose prose-slate text-lg text-slate-600 mb-8">
            <p>
              Histograms group data into <strong>bins</strong> (intervals). Each
              bar covers a range of values, and the height of the bar tells you
              how many data points fall in that range. All bins have equal width
              on the SAT.
            </p>
          </div>

          <div className="bg-amber-50 border border-amber-200 rounded-2xl p-6 mb-8 space-y-4">
            <h3 className="text-lg font-bold text-amber-900">
              Key Histogram Concepts
            </h3>

            <div className="grid grid-cols-1 md:grid-cols-2 gap-4">
              <div className="bg-white rounded-xl p-4 border border-amber-100">
                <p className="font-bold text-amber-800 mb-1">
                  Frequency (Count)
                </p>
                <p className="text-slate-600 text-sm">
                  The raw number of data points in a bin. Read directly from the
                  y-axis when it is labeled "Frequency" or "Count".
                </p>
              </div>
              <div className="bg-white rounded-xl p-4 border border-amber-100">
                <p className="font-bold text-amber-800 mb-1">
                  Relative Frequency (Percent)
                </p>
                <p className="text-slate-600 text-sm">
                  Each bin's count divided by the total number of data points.
                  Formula:{" "}
                  <strong>
                    Relative Frequency = <Frac n="count" d="total" />
                  </strong>
                  .
                </p>
              </div>
            </div>

            <div className="bg-amber-100 rounded-xl p-4">
              <p className="font-bold text-amber-900 mb-1">
                SAT Trick: Count vs. Percent Switch
              </p>
              <p className="text-slate-700 text-sm">
                The SAT frequently presents a histogram in one form (frequency)
                and asks a question that requires the other (relative
                frequency). Always check the y-axis label carefully.
              </p>
            </div>
          </div>

          <HistogramBuilderWidget />

          <button
            onClick={() => scrollToSection(2)}
            className="mt-12 group flex items-center text-amber-600 font-bold hover:text-amber-800 transition-colors"
          >
            Next: Box Plots{" "}
            <ArrowDown className="ml-2 w-5 h-5 group-hover:translate-y-1 transition-transform" />
          </button>
        </section>

        {/* Section 3: Box Plots */}
        <section
          ref={(el) => {
            sectionsRef.current[2] = el;
          }}
          className="min-h-screen flex flex-col justify-center mb-24"
        >
          <h2 className="text-4xl font-extrabold text-slate-900 mb-6">
            Anatomy of a Box Plot
          </h2>
          <div className="prose prose-slate text-lg text-slate-600 mb-8">
            <p>
              A Box Plot visualizes the <strong>5-Number Summary</strong>: Min,
              Q1, Median, Q3, Max. The box itself represents the{" "}
              <strong>IQR</strong> (Interquartile Range), which contains the
              middle 50% of the data.
            </p>
          </div>

          <div className="bg-amber-50 border border-amber-200 rounded-2xl p-6 mb-8 space-y-4">
            <h3 className="text-lg font-bold text-amber-900">
              The 5-Number Summary
            </h3>
            <div className="grid grid-cols-1 sm:grid-cols-5 gap-3">
              {[
                { label: "Min", desc: "Smallest value (left whisker)" },
                { label: "Q1", desc: "25th percentile (left edge of box)" },
                { label: "Median", desc: "50th percentile (line inside box)" },
                { label: "Q3", desc: "75th percentile (right edge of box)" },
                { label: "Max", desc: "Largest value (right whisker)" },
              ].map((item) => (
                <div
                  key={item.label}
                  className="bg-white rounded-xl p-3 border border-amber-100 text-center"
                >
                  <p className="font-bold text-amber-800 text-lg">
                    {item.label}
                  </p>
                  <p className="text-slate-500 text-xs mt-1">{item.desc}</p>
                </div>
              ))}
            </div>

            <div className="bg-white rounded-xl p-4 border border-amber-100">
              <p className="font-bold text-amber-800 mb-2">
                Interquartile Range (IQR)
              </p>
              <p className="text-slate-600 text-sm mb-2">
                The IQR measures the spread of the middle 50% of the data.
              </p>
              <p className="font-mono text-amber-700 font-bold">
                IQR = Q3 &minus; Q1
              </p>
            </div>

            <div className="bg-amber-100 rounded-xl p-4">
              <p className="font-bold text-amber-900 mb-2">
                Outlier Detection Rule
              </p>
              <p className="text-slate-700 text-sm mb-2">
                A data point is an outlier if it falls outside these boundaries:
              </p>
              <div className="space-y-1 font-mono text-sm">
                <p className="text-red-700 font-bold">
                  Lower Bound: Q1 &minus; 1.5 &times; IQR
                </p>
                <p className="text-red-700 font-bold">
                  Upper Bound: Q3 + 1.5 &times; IQR
                </p>
              </div>
            </div>
          </div>

          <BoxPlotAnatomyWidget />

          <button
            onClick={() => scrollToSection(3)}
            className="mt-12 group flex items-center text-amber-600 font-bold hover:text-amber-800 transition-colors"
          >
            Next: Center & Spread{" "}
            <ArrowDown className="ml-2 w-5 h-5 group-hover:translate-y-1 transition-transform" />
          </button>
        </section>

        {/* Section 4: Center & Spread (from CenterSpreadLesson) */}
        <section
          ref={(el) => {
            sectionsRef.current[3] = el;
          }}
          className="min-h-screen flex flex-col justify-center mb-24"
        >
          <h2 className="text-4xl font-extrabold text-slate-900 mb-6">
            Measures of Center & Spread
          </h2>
          <div className="prose prose-slate text-lg text-slate-600 mb-8">
            <p>
              The SAT always tests your ability to interpret center (where data
              clusters) and spread (how far data varies). Understanding what
              each measure is resistant or sensitive to is critical.
            </p>
          </div>

          <div className="bg-amber-50 border border-amber-200 rounded-2xl p-6 mb-8 space-y-5">
            <h3 className="text-lg font-bold text-amber-900">
              Measures of Center
            </h3>

            <div className="grid md:grid-cols-3 gap-4">
              <div className="bg-white rounded-xl p-4 border border-amber-200">
                <p className="font-bold text-amber-900 mb-1">Mean (Average)</p>
                <div className="font-mono text-center bg-amber-50 py-2 rounded text-amber-700 font-bold text-sm mb-2">
                  <Frac n="Sum" d="Count" />
                </div>
                <p className="text-xs text-slate-600">
                  Add all values, divide by how many there are. Sensitive to
                  outliers — one extreme value pulls the mean.
                </p>
              </div>
              <div className="bg-white rounded-xl p-4 border border-amber-200">
                <p className="font-bold text-amber-900 mb-1">Median</p>
                <div className="font-mono text-center bg-amber-50 py-2 rounded text-amber-700 font-bold text-sm mb-2">
                  Middle value (sorted)
                </div>
                <p className="text-xs text-slate-600">
                  Sort the data. Middle value if odd count; average of middle
                  two if even count. Resistant to outliers.
                </p>
              </div>
              <div className="bg-white rounded-xl p-4 border border-amber-200">
                <p className="font-bold text-amber-900 mb-1">Mode</p>
                <div className="font-mono text-center bg-amber-50 py-2 rounded text-amber-700 font-bold text-sm mb-2">
                  Most frequent value
                </div>
                <p className="text-xs text-slate-600">
                  The value that appears most often. A dataset can have no mode,
                  one mode, or multiple modes. Rare on SAT.
                </p>
              </div>
            </div>

            <div className="bg-white rounded-xl p-5 border border-amber-100">
              <p className="font-bold text-amber-800 mb-3">
                Worked Example: Mean vs. Median with an Outlier
              </p>
              <div className="bg-amber-50 rounded-lg p-4 text-sm">
                <p className="font-semibold text-amber-800 mb-2">
                  Dataset: {"{"}5, 7, 8, 9, 10, 11, 95{"}"}
                </p>
                <div className="font-mono text-xs text-slate-700 space-y-1">
                  <p>Sum = 5 + 7 + 8 + 9 + 10 + 11 + 95 = 145</p>
                  <p>
                    Mean = <Frac n="145" d="7" /> ≈{" "}
                    <strong className="text-rose-700">20.7</strong> ← pulled
                    toward 95
                  </p>
                  <p>
                    Median = <strong className="text-emerald-700">9</strong> ←
                    middle value, not affected by 95
                  </p>
                </div>
              </div>
            </div>

            <h3 className="text-lg font-bold text-amber-900 pt-2">
              Measures of Spread
            </h3>

            <div className="overflow-x-auto rounded-xl border border-amber-200">
              <table className="w-full text-sm border-collapse">
                <thead>
                  <tr className="bg-amber-900 text-white">
                    <th className="p-3 text-left">Measure</th>
                    <th className="p-3 text-left">Formula</th>
                    <th className="p-3 text-left">Sensitive to Outliers?</th>
                    <th className="p-3 text-left">Best Used With</th>
                  </tr>
                </thead>
                <tbody className="divide-y divide-amber-100">
                  <tr className="bg-white">
                    <td className="p-3 font-bold">Range</td>
                    <td className="p-3 font-mono text-amber-700">Max − Min</td>
                    <td className="p-3 text-rose-700 font-bold">
                      Yes — very sensitive
                    </td>
                    <td className="p-3 text-slate-600">Simple comparisons</td>
                  </tr>
                  <tr className="bg-amber-50">
                    <td className="p-3 font-bold">IQR</td>
                    <td className="p-3 font-mono text-amber-700">Q3 − Q1</td>
                    <td className="p-3 text-emerald-700 font-bold">
                      No — resistant
                    </td>
                    <td className="p-3 text-slate-600">Median; skewed data</td>
                  </tr>
                  <tr className="bg-white">
                    <td className="p-3 font-bold">Standard Deviation</td>
                    <td className="p-3 font-mono text-amber-700">
                      Avg distance from mean
                    </td>
                    <td className="p-3 text-rose-700 font-bold">
                      Yes — sensitive
                    </td>
                    <td className="p-3 text-slate-600">Mean; symmetric data</td>
                  </tr>
                </tbody>
              </table>
            </div>

            <div className="bg-white rounded-xl p-5 border border-amber-100">
              <p className="font-bold text-amber-800 mb-3">
                Skew Direction → Mean vs. Median
              </p>
              <div className="grid md:grid-cols-2 gap-3 text-sm">
                <div className="bg-rose-50 rounded-lg p-3 border border-rose-100">
                  <p className="font-bold text-rose-800 mb-1">
                    Right-Skewed (Positive Skew)
                  </p>
                  <p className="text-slate-700">
                    A long tail extends to the right. Mean is pulled right
                    (larger) by high outliers.
                  </p>
                  <p className="font-mono text-xs mt-1 text-rose-700">
                    Mean &gt; Median &gt; Mode
                  </p>
                </div>
                <div className="bg-blue-50 rounded-lg p-3 border border-blue-100">
                  <p className="font-bold text-blue-800 mb-1">
                    Left-Skewed (Negative Skew)
                  </p>
                  <p className="text-slate-700">
                    A long tail extends to the left. Mean is pulled left
                    (smaller) by low outliers.
                  </p>
                  <p className="font-mono text-xs mt-1 text-blue-700">
                    Mean &lt; Median &lt; Mode
                  </p>
                </div>
              </div>
            </div>
          </div>

          <button
            onClick={() => scrollToSection(4)}
            className="mt-4 group flex items-center text-amber-600 font-bold hover:text-amber-800 transition-colors"
          >
            Next: Effects of Change{" "}
            <ArrowDown className="ml-2 w-5 h-5 group-hover:translate-y-1 transition-transform" />
          </button>
        </section>

        {/* Section 5: Effects of Data Changes (from CenterSpreadLesson) */}
        <section
          ref={(el) => {
            sectionsRef.current[4] = el;
          }}
          className="min-h-screen flex flex-col justify-center mb-24"
        >
          <h2 className="text-4xl font-extrabold text-slate-900 mb-6">
            Effects of Data Changes
          </h2>
          <div className="prose prose-slate text-lg text-slate-600 mb-8">
            <p>
              The SAT loves questions that ask what happens to mean, median, and
              standard deviation after modifying data — without making you
              recalculate everything. Memorize these rules.
            </p>
          </div>

          <div className="bg-amber-50 border border-amber-200 rounded-2xl p-6 mb-8 space-y-5">
            <h3 className="text-lg font-bold text-amber-900">
              The Rules Table
            </h3>

            <div className="overflow-x-auto rounded-xl border border-amber-200">
              <table className="w-full text-sm border-collapse">
                <thead>
                  <tr className="bg-amber-900 text-white">
                    <th className="p-3 text-left">Operation</th>
                    <th className="p-3 text-left">Mean</th>
                    <th className="p-3 text-left">Median</th>
                    <th className="p-3 text-left">Std Dev / Range</th>
                  </tr>
                </thead>
                <tbody className="divide-y divide-amber-100">
                  <tr className="bg-white">
                    <td className="p-3 font-bold">
                      Add constant k to every value
                    </td>
                    <td className="p-3 font-mono text-amber-700">Mean + k</td>
                    <td className="p-3 font-mono text-amber-700">Median + k</td>
                    <td className="p-3 font-bold text-emerald-700">
                      No change
                    </td>
                  </tr>
                  <tr className="bg-amber-50">
                    <td className="p-3 font-bold">Multiply every value by k</td>
                    <td className="p-3 font-mono text-amber-700">Mean × k</td>
                    <td className="p-3 font-mono text-amber-700">Median × k</td>
                    <td className="p-3 font-bold text-amber-700">
                      × k (scales too)
                    </td>
                  </tr>
                  <tr className="bg-white">
                    <td className="p-3 font-bold">Add a high outlier</td>
                    <td className="p-3 text-rose-700">Increases</td>
                    <td className="p-3 text-emerald-700">Barely changes</td>
                    <td className="p-3 text-rose-700">Increases</td>
                  </tr>
                  <tr className="bg-amber-50">
                    <td className="p-3 font-bold">Remove a high outlier</td>
                    <td className="p-3 text-rose-700">
                      Decreases (toward center)
                    </td>
                    <td className="p-3 text-emerald-700">Barely changes</td>
                    <td className="p-3 text-rose-700">Decreases</td>
                  </tr>
                </tbody>
              </table>
            </div>

            <div className="bg-white rounded-xl p-5 border border-amber-100">
              <p className="font-bold text-amber-800 mb-3">
                Why Adding k Doesn't Change Spread
              </p>
              <p className="text-sm text-slate-700 mb-2">
                Standard deviation measures how far values are from the mean. If
                you add k to every value, the mean also shifts by k — so every
                distance from the mean stays the same.
              </p>
              <div className="bg-amber-50 rounded-lg p-3 text-xs font-mono text-slate-700">
                <p>
                  Dataset: {"{"}2, 4, 6{"}"} → Mean = 4, SD ≈ 1.63
                </p>
                <p>
                  Add 10: {"{"}12, 14, 16{"}"} → Mean = 14, SD ≈ 1.63
                  (unchanged)
                </p>
                <p>
                  Multiply by 2: {"{"}4, 8, 12{"}"} → Mean = 8, SD ≈ 3.27
                  (doubled)
                </p>
              </div>
            </div>

            <div className="space-y-3">
              <div className="bg-sky-50 rounded-xl p-4 border border-sky-200 text-sm">
                <p className="font-semibold text-sky-800 mb-2">
                  Worked Example 1: What happens when an outlier is removed?
                </p>
                <div className="font-mono text-xs text-slate-700 space-y-1">
                  <p>
                    Dataset: {"{"}2, 3, 4, 5, 6, 50{"}"}. Mean ≈ 11.7, Median =
                    4.5
                  </p>
                  <p>
                    Remove 50: {"{"}2, 3, 4, 5, 6{"}"}. Mean = 4, Median = 4
                  </p>
                  <p className="text-sky-800 font-bold">
                    Mean decreased significantly. Median barely changed.
                  </p>
                </div>
              </div>
              <div className="bg-sky-50 rounded-xl p-4 border border-sky-200 text-sm">
                <p className="font-semibold text-sky-800 mb-2">
                  Worked Example 2: Scores shifted
                </p>
                <div className="font-mono text-xs text-slate-700 space-y-1">
                  <p>Teacher adds 5 bonus points to every student's score.</p>
                  <p>
                    Class mean was 72 → new mean ={" "}
                    <strong className="text-sky-800">77</strong>
                  </p>
                  <p>
                    Class median was 74 → new median ={" "}
                    <strong className="text-sky-800">79</strong>
                  </p>
                  <p>
                    Standard deviation:{" "}
                    <strong className="text-sky-800">no change</strong> (spread
                    unchanged)
                  </p>
                </div>
              </div>
            </div>
          </div>

          <DataModifierWidget />

          <button
            onClick={() => scrollToSection(5)}
            className="mt-12 group flex items-center text-amber-600 font-bold hover:text-amber-800 transition-colors"
          >
            Next: Comparisons{" "}
            <ArrowDown className="ml-2 w-5 h-5 group-hover:translate-y-1 transition-transform" />
          </button>
        </section>

        {/* Section 6: Comparing Distributions */}
        <section
          ref={(el) => {
            sectionsRef.current[5] = el;
          }}
          className="min-h-screen flex flex-col justify-center mb-24"
        >
          <h2 className="text-4xl font-extrabold text-slate-900 mb-6">
            Comparing Distributions
          </h2>
          <div className="prose prose-slate text-lg text-slate-600 mb-8">
            <p>
              When comparing two datasets, always address two dimensions:{" "}
              <strong>Center</strong> and <strong>Spread</strong>. The SAT often
              asks you to compare groups using both.
            </p>
          </div>

          <div className="bg-amber-50 border border-amber-200 rounded-2xl p-6 mb-8 space-y-4">
            <h3 className="text-lg font-bold text-amber-900">
              What to Compare
            </h3>
            <div className="grid grid-cols-1 md:grid-cols-2 gap-4">
              <div className="bg-white rounded-xl p-4 border border-amber-100">
                <p className="font-bold text-amber-800 mb-2">Center</p>
                <ul className="text-slate-600 text-sm space-y-1 list-disc list-inside">
                  <li>
                    <strong>Median</strong> — use when data is skewed or has
                    outliers; it is resistant to extreme values.
                  </li>
                  <li>
                    <strong>Mean</strong> — use when data is roughly symmetric;
                    it accounts for all values but is pulled by outliers.
                  </li>
                </ul>
              </div>
              <div className="bg-white rounded-xl p-4 border border-amber-100">
                <p className="font-bold text-amber-800 mb-2">Spread</p>
                <ul className="text-slate-600 text-sm space-y-1 list-disc list-inside">
                  <li>
                    <strong>IQR</strong> — measures spread of the middle 50%;
                    resistant to outliers. Preferred with median.
                  </li>
                  <li>
                    <strong>Standard Deviation (SD)</strong> — measures average
                    distance from the mean; sensitive to outliers. Preferred
                    with mean.
                  </li>
                </ul>
              </div>
            </div>
            <div className="bg-amber-100 rounded-xl p-4">
              <p className="font-bold text-amber-900 mb-1">
                SAT Language to Watch For
              </p>
              <p className="text-slate-700 text-sm">
                "Which group has greater variability?" &rarr; Compare IQR or SD
                (larger value = more spread out).
                <br />
                "Which group has a higher typical value?" &rarr; Compare medians
                or means.
                <br />
                "Are the distributions similar in shape?" &rarr; Look at whether
                both are symmetric, skewed left, or skewed right.
              </p>
            </div>
          </div>

          <BoxPlotComparisonWidget />

          <button
            onClick={() => scrollToSection(6)}
            className="mt-12 group flex items-center text-amber-600 font-bold hover:text-amber-800 transition-colors"
          >
            Next: Practice Quiz{" "}
            <ArrowDown className="ml-2 w-5 h-5 group-hover:translate-y-1 transition-transform" />
          </button>
        </section>

        {/* Section 7: Quiz */}
        <section
          ref={(el) => {
            sectionsRef.current[6] = el;
          }}
          className="min-h-screen flex flex-col justify-center"
        >
          <h2 className="text-4xl font-extrabold text-slate-900 mb-8">
            Practice Time
          </h2>
          {allQuizzes.map((quiz, idx) => (
            <div key={`quiz-${idx}`} className="mb-12">
              <Quiz data={quiz} />
            </div>
          ))}
          <div className="p-8 bg-amber-900 rounded-2xl text-white text-center mt-12">
            <h3 className="text-2xl font-bold mb-4">Topic Mastered!</h3>
            <button
              onClick={onFinish}
              className="px-6 py-3 bg-white text-amber-900 font-bold rounded-full hover:bg-amber-50 transition-colors"
            >
              Finish Lesson ✓
            </button>
          </div>
        </section>
      </div>
    </div>
  );
};

export default DataRepresentationLesson;
