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<!DOCTYPE html>
<html lang="en">
<head>
    <meta charset="UTF-8">
    <meta name="viewport" content="width=device-width, initial-scale=1.0">
    <title>Mode - Statistics Study Guide</title>
    <link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/6.0.0-beta3/css/all.min.css">
    <style>
        * {
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            min-height: 100vh;
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            color: #333;
            opacity: 0;
            animation: fadeIn 1s forwards;
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            padding: 20px;
            text-align: center;
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        nav a {
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            transition: color 0.3s;
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        nav a:hover {
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        .container {
            flex: 1;
            padding: 40px;
            max-width: 900px;
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        @keyframes fadeIn {
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    </style>
</head>
<body>
    <header>
        <h1>Mode - Statistics Study Guide</h1>
    </header>
    <nav>
        <a href="index.html">Back to Study Guide</a>
        <a href="statistics.html">Back to Statistics</a>
    </nav>
    <div class="container">
        <h2>Understanding the Mode</h2>

        <p>The **mode** is the value that appears most frequently in a data set. A set of data may have one mode, more than one mode, or no mode at all if all the values occur with the same frequency.</p>

        <div class="step">
            <i class="fas fa-calculator"></i>
            <div>
                <h4>Steps to Find the Mode</h4>
                <p>To find the mode, follow these steps:</p>
                <pre>Step 1: Identify the frequency of each number in the data set.
Step 2: Find the number that appears the most times.
Step 3: If two or more numbers appear the most times, the data set is multimodal and each of these values is a mode.
Step 4: If no number repeats, the data set has no mode.</pre>
            </div>
        </div>

        <h3>Example: Finding the Mode</h3>
        <div class="example-box">
            <p><strong>Example 1:</strong> Find the mode of the numbers 3, 7, 5, 3, 1, 3, 9, 5.</p>
            <pre>Step 1: The frequencies are:
3 appears 3 times,
5 appears 2 times,
7, 1, and 9 each appear once.
Step 2: The number 3 appears the most times (3 times).</pre>
            <p><strong>Mode = 3</strong></p>
        </div>

        <h3>Example with Multiple Modes:</h3>
        <div class="example-box">
            <p><strong>Example 2:</strong> Find the mode of the numbers 4, 8, 6, 4, 7, 8, 5, 9.</p>
            <pre>Step 1: The frequencies are:
4 appears 2 times,
8 appears 2 times,
6, 7, 5, and 9 each appear once.
Step 2: Both 4 and 8 appear the most times (2 times each).</pre>
            <p><strong>Modes = 4, 8</strong></p>
        </div>

        <h3>Try It Yourself:</h3>
        <p>Find the mode of the following numbers:</p>
        <pre>2, 9, 4, 4, 7, 2, 5, 9, 6, 7</pre>
        <p>Hint: Find the most frequent numbers in the set.</p>

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