Question

निम्नलिखित आँकड़े के लिए माध्य (मीन), माध्यिका (मीडियन) और बहुलक (मोड) की गणना कीजिए।

वर्ग अंतराल 10-14 15-19 20-24 25-29 30-34 35-39 40-45
आवृत्ति 4 6 7 15 10 5 3
07 Jan 2025
Answer :
Word Count : 621
यहां पर दिये गए आँकड़ों से हम माध्य (Mean), माध्यिका (Median) और बहुलक (Mode) की गणना करेंगे। #### 1. माध्य (Mean): माध्य (Mean) की गणना इस सूत्र से की जाती है: \[ \text{Mean} = \frac{\sum (f \cdot x)}{\sum f} \] जहां: - \( f \) = आवृत्ति (Frequency) - \( x \) = वर्ग अंतराल का वर्गमध्य (Class Midpoint) सर्वप्रथम, हम वर्ग अंतराल का वर्गमध्य (class midpoint) निकालते हैं: | वर्ग अंतराल | आवृत्ति (f) | वर्गमध्य (x) | \( f \cdot x \) | |-------------|-------------|--------------|----------------| | 10-14 | 4 | 12 | 48 | | 15-19 | 6 | 17 | 102 | | 20-24 | 7 | 22 | 154 | | 25-29 | 15 | 27 | 405 | | 30-34 | 10 | 32 | 320 | | 35-39 | 5 | 37 | 185 | | 40-45 | 3 | 42.5 | 127.5 | अब, हम \( f \cdot x ___ ______ _______ ___ _____ ____.
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