Question

I went to the market to purchase papayas .The vendor had 12 papayas ,whose average weight was 2 kg per papaya. The highest papaya weighed 1 kg and the heaviest 4 kg. I purchased both the
lightest and heaviest papayas. What is the average weight of the papayas that were left with the
vendor?
1) 1.9 kg
2) 1.95 kg
3) 2.03 kg
4) 2.23 kg
​

Answer 1

The average weight of the papayas that were left with the  vendor is 1.9 kg.

Step-by-step explanation:

The number of papayas the vendor had, n = 12.

Average weight of 12 papayas was, A = 2 kg.

Compute the sum of the weight of 12 papayas as follows:

$A=\frac{1}{n}\sum x\\2=\frac{1}{12}\sum x\\\sum x=24$

The weight of 12 papayas was 24 kg.

The weight of lightest papayas was 1 kg.

The weight of heaviest papayas was 4 kg.

Compute the weight of remaining 10 papayas as follows:

Weight of remaining 10 papayas = 24 - 1 - 4 = 19 kg.

Compute the average weight of the remaining 10 papayas as follows:

$A=\frac{1}{10}\times 19=1.9$

Thus, the average weight of the papayas that were left with the  vendor is 1.9 kg.