Question

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

• A. \(129\text{ kg}\)
• B. \(130\text{ kg}\)
• C. \(131\text{ kg}\)
• D. \(132\text{ kg}\)

Hint:

To simplify the addition, you can use a deviation method.
Assume a baseline of 119. The deviations of the 5 bags from 119 are:
\(-4, -10, +10, -2, -5\).
The sum of these deviations is \(-11\).
For the average to remain 119, the deviation of the 6th bag must be \(+11\).
Thus, the 6th bag is \(119 + 11 = 130\text{ kg}\). This method is faster and less prone to arithmetic errors.

Answer 1

The Correct Option is B