Statistics — Flashcards
Madhya Pradesh Board · Class 10 · Mathematics
56 flashcards for Statistics (Madhya Pradesh Board Class 10 Mathematics) to test yourself on key terms and facts.
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Solve the mean of these ungrouped marks: 10, 20, 36, 40, 50, 56, 60, 70, 72, 80, 88, 92, 95 with frequencies 1, 1, 3, 4, 3, 2, 4, 4, 1, 1, 2, 3, 1.
Answer
Step 1: Use the direct method formula: x̄ = Σf_i x_i / Σf_i. Step 2: Add all frequencies: 30. Step 3: Add all f_i x_i values: 1779. Step 4: x̄ = 1779 / 30 = 59.3. Answer: Mean = 59.3.
इन असमूहीकृत अंकों का माध्य ज्ञात कीजिए: 10, 20, 36, 40, 50, 56, 60, 70, 72, 80, 88, 92, 95 with frequencies 1, 1, 3, 4, 3, 2, 4, 4, 1, 1, 2, 3, 1.
Answer
चरण 1: प्रत्यक्ष विधि का सूत्र उपयोग कीजिए: x̄ = Σf_i x_i / Σf_i. चरण 2: सभी आवृत्तियों को जोड़िए: 30. चरण 3: सभी f_i x_i मानों को जोड़िए: 1779. चरण 4: x̄ = 1779 / 30 = 59.3. उत्तर: माध्य = 59.3.
Find the class mark of the class interval 40-55.
Answer
Use the class mark formula: Class mark = (Upper class limit + Lower class limit) / 2 = (55 + 40) / 2 = 95 / 2 = 47.5 Answer: Class mark = 47.5.
प्रदत्त वर्ग अंतराल 40-55 का वर्ग चिह्न ज्ञात कीजिए।
Answer
वर्ग चिह्न का सूत्र उपयोग कीजिए: वर्ग चिह्न = (ऊपरी वर्ग सीमा + निचली वर्ग सीमा) / 2 = (55 + 40) / 2 = 95 / 2 = 47.5 उत्तर: वर्ग चिह्न = 47.5.
Solve the mean of grouped data using class intervals 10-25, 25-40, 40-55, 55-70, 70-85, 85-100 with frequencies 2, 3, 7, 6, 6, 6.
Answer
Step 1: Find class marks: 17.5, 32.5, 47.5, 62.5, 77.5, 92.5. Step 2: Multiply each class mark by frequency and add: Σf_i x_i = 1860. Step 3: Add frequencies: Σf_i = 30. Step 4: Use x̄ = Σf_i x_i / Σf…
वर्ग अंतराल 10-25, 25-40, 40-55, 55-70, 70-85, 85-100 और आवृत्तियाँ 2, 3, 7, 6, 6, 6 का उपयोग करके समूहीकृत आँकड़ों का माध्य ज्ञात कीजिए।
Answer
चरण 1: वर्ग चिह्न ज्ञात कीजिए: 17.5, 32.5, 47.5, 62.5, 77.5, 92.5. चरण 2: प्रत्येक वर्ग चिह्न को आवृत्ति से गुणा करके जोड़िए: Σf_i x_i = 1860. चरण 3: आवृत्तियाँ जोड़िए: Σf_i = 30. चरण 4: x̄ = Σf_i x_i…
Why is the mean of grouped data often only approximate?
Answer
Grouped data uses class marks as representative values for whole class intervals. The assumption is that the frequency of each class interval is centred around its mid-point. Because actual individual…
समूहीकृत आँकड़ों का माध्य अक्सर केवल लगभग क्यों होता है?
Answer
समूहीकृत आँकड़े पूरी वर्ग अंतरालों के लिए प्रतिनिधि मान के रूप में वर्ग चिह्नों का उपयोग करते हैं। यह मान्यता होती है कि प्रत्येक वर्ग अंतराल की आवृत्ति उसके मध्य-बिंदु के आसपास केंद्रित है। क्योंकि व…
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