The mean weight per bag in a group of 6 bags of rice is 119 kg... | Agrigyan

Q.25

ICAR AIEEA PG 2024 - Statistical Sciences

MCQ (Single Correct) +4 −1

The mean weight per bag in a group of 6 bags of rice is 119 kg. The individual weights of 5 of them are 115 kg, 109 kg, 129 kg, 117 kg and 114 kg. What is the weight of the other bag of the group?

चावल की 6 बोरियों के एक समूह में प्रति बोरी औसत वजन 119 किग्रा है। उनमें से 5 बोरियों का व्यक्तिगत वजन 115 किग्रा, 109 किग्रा, 129 किग्रा, 117 किग्रा और 114 किग्रा है। समूह की छठवीं बोरी का वजन क्या है?

129 kg 129 kg 130 kg 130 kg Correct 131 kg 131 kg 132 kg 132 kg

Calculation:
Total weight of all 6 bags = $6 \times 119 = 714\text{ kg}$.
Sum of the weights of the 5 known bags:

$$115 + 109 + 129 + 117 + 114 = 584\text{ kg}$$

Weight of the 6th bag:

$$\text{Weight} = 714 - 584 = 130\text{ kg}$$

Thus, the weight of the other bag is 130 kg.

गणना:
6 बोरियों का कुल वजन = $6 \times 119 = 714\text{ किग्रा}$
ज्ञात 5 बोरियों का कुल वजन = $115 + 109 + 129 + 117 + 114 = 584\text{ किग्रा}$
छठवीं बोरी का वजन = $714 - 584 = 130\text{ किग्रा}$

अतः छठवीं बोरी का वजन 130 किग्रा होगा।

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