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The average weight of 5 persons, sitting in a boat, is 38 Kg. If the average weight of the boat and the persons sitting in the boat is 52 Kg, what is the weight of the boat?

Calculate the weight of the boat when the combined average weight of five persons and the boat is 52 Kg, with individual weights of 38 Kg each for the persons.

by Maivizhi A

Updated Mar 07, 2024

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The average weight of 5 persons, sitting in a boat, is 38 Kg. If the average weight of the boat and the persons sitting in the boat is 52 Kg, what is the weight of the boat?

The average weight of 5 persons, sitting in a boat, is 38 Kg. If the average weight of the boat and the persons sitting in the boat is 52 Kg, what is the weight of the boat? 

The weight of the boat is 122 kg. 

Here's how to find the weight of the boat:

Total weight of people: Since the average weight of the 5 people is 38 kg, the total weight of the people is:

Total weight of people = Average weight per person * Number of people

Total weight of people = 38 kg/person * 5 people

Total weight of people = 190 kg

Combined weight: The average weight of the boat and the people is 52 kg. Since this is the combined weight of 6 entities (5 people and the boat), the total weight of the boat and the people is:

Total combined weight = Average combined weight * Number of entities

Total combined weight = 52 kg/entity * 6 entities

Total combined weight = 312 kg

Boat weight: Finally, to find the weight of the boat, we simply subtract the total weight of the people from the total combined weight:

Weight of boat = Total combined weight - Total weight of people

Weight of boat = 312 kg - 190 kg

Weight of boat = 122 kg

Therefore, the weight of the boat is 122 kg.

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What is Average? How to Calculate it? 

Average, also known as the mean, is a measure of central tendency in a set of numerical data. It represents the typical value of the data points in the set.

To calculate the average, you sum up all the values in the data set and then divide by the total number of values. The formula for calculating the average (mean) is:

Average = (Sum of all values) / (Number of values)

Here's a step-by-step process to calculate the average:

Add up all the values in the data set.

Count the total number of values in the data set.

Divide the sum of the values by the total number of values.

For example, let's say you have the following data set: 5, 7, 10, 12, 15

To calculate the average:

Add up all the values: 5 + 7 + 10 + 12 + 15 = 49

Count the total number of values: There are 5 values in the data set.

Divide the sum of the values by the total number of values: Average = 49 / 5 = 9.8

So, the average of the given data set is 9.8

The average weight of 5 persons, sitting in a boat, is 38 Kg. If the average weight of the boat and the persons sitting in the boat is 52 Kg, what is the weight of the boat - FAQs

1. What is the weight of the boat in the given scenario?

The weight of the boat is 122 kg.

 

 

2. How can I find the weight of the boat?

To find the weight of the boat, subtract the total weight of the people from the combined weight of the boat and people.

3. What is an average, and how is it calculated?

Average, also known as the mean, is a measure of central tendency in a set of numerical data. It's calculated by summing up all values in the dataset and dividing by the total number of values.

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