Question

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?

• A. 129 kg
• B. 130 kg
• C. 131 kg
• D. 132 kg

Hint:

To find a missing value when the mean is given, use:
Total sum = mean \(\times\) number of items.
Subtract the sum of known items.

Answer 1

The Correct Option is B

Step 1: Understanding the Concept:
The mean is the sum divided by the number of observations.

Step 2: Key Formula or Approach:
Total sum = Mean \(\times\) Number of observations.

Step 3: Detailed Explanation:
Total weight of 6 bags = \(119 \times 6 = 714\) kg.
Sum of weights of 5 bags = \(115 + 109 + 129 + 117 + 114 = 584\) kg.
Weight of the 6th bag = \(714 - 584 = 130\) kg.
Thus, the weight of the other bag is 130 kg, which is option (B).
This is a basic arithmetic problem.
Always check the sum to avoid errors.