There are 35 mobile phones in a box, out of which the average weight ...
Given:Total mobile phones in the box are 35.
The average weight of 12 mobile phones is 50 grams.
The average weight of 11 mobile phones is 40 grams.
The average weight of the remaining mobile phones is 45 grams.
Concept:Often "average" refers to the arithmetic mean, the sum of the numbers divided by how many numbers are being averaged.
Formula used:
Total weight = Average weight × total number of items
Average = Total sum of all numbers / Total numbers of items
Calculation:Total mobile phones in the box are 35.
The average weight of 12 mobile phones = 50 grams.
Then, the total weight of 12 mobile phones
⇒ 12 × 50 = 600 grams
The average weight of the next 11 mobile phones is 40 grams.
Then, the total weight of 11 mobile phones
⇒ 11 × 40 = 440 grams
Remaining number of mobile phones
⇒ 35 – 12 – 11 = 12
The average weight of the remaining mobile phones is 45 grams.
Then, the total weight of the remaining mobile phones
⇒ 12 × 45 = 540 gram
Now the total weight of 35 mobile phones
⇒ 600 + 440 + 540 = 1580 grams
Now to find the average weight of 35 mobile phones
Average = Total weight / Total numbers of an item
⇒ 1580 / 35 = 45.12 grams
∴ the average weight of all mobile phones is 45 grams.