Question

निम्नलिखित आँकड़ों से माध्य, माध्यिका और बहुलक की गणना करें।

निम्नलिखित आँकड़ों से माध्य, माध्यिका और बहुलक की गणना करें।

कक्षा अंतराल आवृत्ति
3 - 4 3
4 - 5 7
5 - 6 22
6 - 7 60
7 - 8 85
8 - 9 32
9 - 10 8

ऊपर दिए गए आँकड़ों से विचरण के गुणांक की गणना करें।









 

कक्षा अंतराल आवृत्ति
3 - 4 3
4 - 5 7
5 - 6 22
6 - 7 60
7 - 8 85
8 - 9 32
9 - 10 8

 

(b) ऊपर दिए गए आँकड़ों से विचरण के गुणांक की गणना करें।

16 Jul 2025
Answer :
Word Count : 863
माध्य (Mean), माध्यिका (Median), बहुलक (Mode) एवं विचरण के गुणांक (Coefficient of Variation) की गणना के लिए पहले हमें निम्नलिखित आँकड़ों को संगठित रूप में प्रस्तुत करना होगा और प्रत्येक सांख्यिकीय उपाय की विधिपूर्वक गणना करनी होगी। --- ### दी गई सारणी: | कक्षा अंतराल | आवृत्ति (f) | | ------------ | ----------- | | 3 - 4 | 3 | | 4 - 5 | 7 | | 5 - 6 | 22 | | 6 - 7 | 60 | | 7 - 8 | 85 | | 8 - 9 | 32 | | 9 - 10 | 8 | --- ### चरण 1: माध्य (Mean) की गणना माध्य = $$ \bar{X} = \frac{\sum{f \cdot x}}{\sum{f}} $$ जहाँ, * $x$ = वर्ग का मध्य बिंदु (class mark) * $f$ = आवृत्ति | कक्षा अंतराल | मध्य बिंदु (x) | f | f · x | | ------------ | -------------- | ------- | ---------- | | 3 - 4 | 3.5 | 3 | 10.5 | | 4 - 5 | 4.5 | 7 | 31.5 | | 5 - 6 | 5.5 | 22 | 121.0 | | 6 - 7 | 6.5 | 60 | 390.0 | | 7 - 8 | 7.5 | 85 | 637.5 | | 8 - __________ ______ ______ _________ ______ ______ ___ _________ _________ ____.
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