Question
Download Solution PDFएक डाकघर में एक दिन में प्राप्त हुए पैकेटों का भार (ग्राम में) नीचे दिया गया है। यदि पैकेटों का बहुलक भार 31.6 ग्राम है, तो x का मान क्या है?
| भार (ग्राम में) | 16-22 | 22-28 | 28-34 | 33-40 | 40-46 |
| पैकेटों की संख्या | 13 | 16 | 25 | x | 20 |
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
बहुलक भार = 31.6 ग्राम
प्रयुक्त सूत्र:
बहुलक = L + [(fm - f1) ÷ (2fm - f1 - f2)] x h
जहाँ,
L = बहुलक वर्ग की निचली सीमा = 28
fm = बहुलक वर्ग की आवृत्ति = 25
f1 = बहुलक वर्ग से पहले वर्ग की आवृत्ति = 16
f2 = बहुलक वर्ग के बाद वर्ग की आवृत्ति = x
h = वर्ग चौड़ाई = 6
गणना:
31.6 = 28 + [(25 - 16) ÷ (2 x 25 - 16 - x)] × 6
⇒ 31.6 - 28 = (9 ÷ (50 - 16 - x)) × 6
⇒ 3.6 = 54 ÷ (34 - x)
⇒ 3.6 × (34 - x) = 54
⇒ 122.4 - 3.6x = 54
⇒ 68.4 = 3.6x
⇒ x = 19
∴ सही उत्तर 19 है।
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