Question

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

Class Interval Frequency
3-4 3
4-5 7
5-6 22
6-7 60
7-8 85
8-9 32
9-10 8
01 Mar 2026
Answer :
Word Count : 289
पहले हम प्रत्येक वर्ग अंतराल का मध्य बिंदु (class mark) निकालते हैं: 3-4: (3+4)/2 = 3.5 4-5: (4+5)/2 = 4.5 5-6: (5+6)/2 = 5.5 6-7: (6+7)/2 = 6.5 7-8: (7+8)/2 = 7.5 8-9: (8+9)/2 = 8.5 9-10: (9+10)/2 = 9.5 अब, माध्य (mean) के लिए, हम Σ(f × x) / Σf करेंगे: f × x: 3 × 3.5 = 10.5 7 × 4.5 = 31.5 22 × 5.5 = 121 60 × 6.5 = 390 85 × 7.5 = 637.5 32 × 8.5 = 272 8 × 9.5 = 76 Σ(f × x) = 10.5 + 31.5 + 121 + 390 + 637.5 + 272 + 76 = 1538.5 Σf = 3 + 7 + 22
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