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In Louis's opinion, his weight is greater than 69 kg but less than 76 kg. His brother does not agree with Louis and he thinks that Louis's weight is greater than 64 kg but less than 74 kg. His mother's view is that his weight cannot be greater than 72 kg. If all of them are correct in their estimation, what is the average of different prediction weights of Louis?

In Louis's opinion, his weight is greater than 69 kg but less than 76 kg. His brother does not agree with Louis and he thinks that Louis's weight is greater than 64 kg but less than 74 kg. His mother's view is that his weight cannot be greater than 72 kg. If all of them are correct in their estimation, what is the average of different prediction weights of Louis? Correct Answer 71 Kg

Formula Used: (Sum of all observations)/(Total No. Of observation)

Calculation:

Let Louis's weight be x kg.

According to Louis, 69 < x < 76.

According to Louis's brother, 64 < x < 74.

According to Louis's mother, x ≤ 72.

The values satisfying all the above conditions are 70, 71 and 72.

Required average = (70 + 71 + 72)/3 = 71 kg

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