317 lines
6.4 KiB
Vue
317 lines
6.4 KiB
Vue
<script setup>
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import { ref, computed } from 'vue'
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const dataInput = ref('23, 45, 67, 89, 12, 34, 56, 78, 90, 21')
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const rawData = computed(() =>
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dataInput.value
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.split(',')
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.map((s) => parseFloat(s.trim()))
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.filter((n) => !isNaN(n))
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)
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const sortedData = computed(() => [...rawData.value].sort((a, b) => a - b))
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const count = computed(() => rawData.value.length)
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const mean = computed(() => {
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if (!count.value) return 0
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return (rawData.value.reduce((a, b) => a + b, 0) / count.value).toFixed(2)
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})
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const median = computed(() => {
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const s = sortedData.value
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const n = s.length
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if (!n) return 0
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return n % 2 === 0
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? ((s[n / 2 - 1] + s[n / 2]) / 2).toFixed(2)
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: s[Math.floor(n / 2)].toFixed(2)
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})
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const mode = computed(() => {
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const freq = {}
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let maxFreq = 0
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rawData.value.forEach((n) => {
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freq[n] = (freq[n] || 0) + 1
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if (freq[n] > maxFreq) maxFreq = freq[n]
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})
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if (maxFreq === 1) return '无'
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return Object.keys(freq)
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.filter((k) => freq[k] === maxFreq)
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.join(', ')
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})
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const stdDev = computed(() => {
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if (!count.value) return 0
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const m = parseFloat(mean.value)
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const variance =
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rawData.value.reduce((sum, n) => sum + Math.pow(n - m, 2), 0) /
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count.value
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return Math.sqrt(variance).toFixed(2)
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})
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const stats = computed(() => [
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{ label: '样本数', value: count.value, desc: '数据点总数', color: '#3b82f6' },
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{
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label: '均值',
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value: mean.value,
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desc: '所有数值的平均值',
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color: '#22c55e'
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},
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{
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label: '中位数',
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value: median.value,
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desc: '排序后中间位置的值',
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color: '#f59e0b'
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},
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{
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label: '众数',
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value: mode.value,
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desc: '出现次数最多的值',
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color: '#8b5cf6'
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},
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{
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label: '标准差',
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value: stdDev.value,
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desc: '数据离散程度',
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color: '#06b6d4'
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}
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])
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function generateRandom() {
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dataInput.value = Array.from(
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{ length: 10 },
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() => Math.floor(Math.random() * 100) + 1
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).join(', ')
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}
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function getBarHeight(val) {
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const max = Math.max(...sortedData.value)
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const min = Math.min(...sortedData.value)
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const range = max - min || 1
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return ((val - min) / range) * 80 + 20 + '%'
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}
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const barColors = ['#3b82f6', '#22c55e', '#f59e0b', '#8b5cf6', '#ec4899']
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</script>
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<template>
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<div class="stats-demo">
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<div class="demo-header">
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<span class="icon">📊</span>
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<span class="title">描述性统计演示</span>
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<span class="subtitle">输入数据,实时计算统计指标</span>
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</div>
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<div class="intro-text">
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面对大量数据时,我们需要用少数
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<span class="hl">代表性指标</span>
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来概括全貌。输入一组数字,观察均值、中位数、标准差等指标如何描述数据的
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<span class="hl">集中趋势</span> 和
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<span class="hl">离散程度</span>。
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</div>
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<div class="input-area">
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<div class="input-row">
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<input
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v-model="dataInput"
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class="data-input"
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placeholder="用逗号分隔,例如:1, 2, 3, 4, 5"
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/>
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<button class="btn-random" @click="generateRandom">随机生成</button>
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</div>
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</div>
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<div class="stats-grid">
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<div v-for="s in stats" :key="s.label" class="stat-card">
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<div class="stat-label">{{ s.label }}</div>
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<div class="stat-value" :style="{ color: s.color }">{{ s.value }}</div>
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<div class="stat-desc">{{ s.desc }}</div>
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</div>
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</div>
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<div class="chart-area">
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<div class="chart-title">数据分布(升序排列)</div>
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<div class="bar-chart">
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<div
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v-for="(val, i) in sortedData"
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:key="i"
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class="bar"
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:style="{
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height: getBarHeight(val),
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background: barColors[i % barColors.length]
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}"
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>
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<span class="bar-label">{{ val }}</span>
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</div>
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</div>
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</div>
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</div>
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</template>
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<style scoped>
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.stats-demo {
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border: 1px solid var(--vp-c-divider);
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border-radius: 12px;
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background: var(--vp-c-bg-soft);
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margin: 24px 0;
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overflow: hidden;
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}
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.demo-header {
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padding: 14px 20px;
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background: var(--vp-c-bg);
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border-bottom: 1px solid var(--vp-c-divider);
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display: flex;
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align-items: center;
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gap: 8px;
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}
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.icon {
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font-size: 18px;
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}
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.title {
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font-weight: 600;
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font-size: 15px;
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}
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.subtitle {
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font-size: 12px;
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color: var(--vp-c-text-3);
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margin-left: auto;
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}
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.intro-text {
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padding: 16px 20px;
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font-size: 13px;
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color: var(--vp-c-text-2);
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line-height: 1.7;
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border-bottom: 1px solid var(--vp-c-divider);
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}
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.hl {
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color: var(--vp-c-brand);
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font-weight: 600;
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}
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.input-area {
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padding: 16px 20px;
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}
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.input-row {
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display: flex;
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gap: 10px;
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}
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.data-input {
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flex: 1;
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padding: 10px 12px;
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border: 1px solid var(--vp-c-divider);
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border-radius: 6px;
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background: var(--vp-c-bg);
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font-size: 13px;
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font-family: 'Menlo', 'Monaco', monospace;
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}
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.btn-random {
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padding: 10px 16px;
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border: none;
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border-radius: 6px;
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background: var(--vp-c-brand);
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color: white;
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font-size: 13px;
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font-weight: 500;
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cursor: pointer;
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transition: opacity 0.2s;
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white-space: nowrap;
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}
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.btn-random:hover {
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opacity: 0.85;
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}
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.stats-grid {
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display: grid;
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grid-template-columns: repeat(auto-fit, minmax(130px, 1fr));
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gap: 10px;
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padding: 0 20px 16px;
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}
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.stat-card {
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border: 1px solid var(--vp-c-divider);
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border-radius: 8px;
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padding: 12px;
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background: var(--vp-c-bg);
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}
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.stat-label {
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font-size: 12px;
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color: var(--vp-c-text-3);
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margin-bottom: 4px;
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}
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.stat-value {
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font-size: 20px;
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font-weight: 700;
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margin-bottom: 4px;
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}
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.stat-desc {
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font-size: 11px;
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color: var(--vp-c-text-3);
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}
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.chart-area {
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padding: 16px 20px 20px;
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border-top: 1px solid var(--vp-c-divider);
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}
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.chart-title {
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font-weight: 600;
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font-size: 13px;
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margin-bottom: 12px;
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}
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.bar-chart {
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display: flex;
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align-items: flex-end;
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justify-content: space-around;
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height: 160px;
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gap: 6px;
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background: var(--vp-c-bg);
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border-radius: 8px;
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padding: 20px 12px 8px;
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}
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.bar {
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flex: 1;
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max-width: 50px;
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border-radius: 4px 4px 0 0;
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position: relative;
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transition: height 0.3s;
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}
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.bar-label {
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position: absolute;
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top: -18px;
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left: 50%;
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transform: translateX(-50%);
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font-size: 10px;
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font-weight: 600;
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color: var(--vp-c-text-2);
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white-space: nowrap;
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}
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@media (max-width: 768px) {
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.stats-grid {
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grid-template-columns: repeat(2, 1fr);
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}
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.bar-chart {
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gap: 3px;
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}
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.bar-label {
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font-size: 8px;
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}
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}
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</style>
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