I know how to calculate average, but never get the idea why we need to do that. For example see a question I did correctly just by following only some steps. I got the correct answer, but don't know why we need to find average speed, average weight (average anything) and how that will be useful to us in real life. Please see the image in this link: enter image description here
Can anyone answer this in simple maths words and please don't go in to calculus or other level. For example if the weight of 4 boxes are 2,4,6 and 8, then average will be (2+4+6+8)/4 = 20/4 = 5. From my knowledge I can tell out of total 20kg we can divide these in to 4 equal parts with each weighing 5kg. But why we find this value, how this will be useful in a real life scenario. What made mathematician to introduce average and how saying average speed is 30 and average weight is 5kg help ones. Please answer this question even it's seem very simple since most maths textbooks and teachers ever teach why wee need average and they only teach to solve a problem. That's why I got above answer correct but don't know the concept.
Averages are very useful for comparing sets of data.
For example, if you had a a set of data showing the test scores at one school and then a set of data of data showing the test scores a different school, then the average score of both schools could be directly compared to give an idea about the quality of the school.
The average you have given (called the mean) is only one type of average, there are a few others that are useful in different situations (such as the mode or median: https://www2.le.ac.uk/offices/ld/all-resources/numerical-data/averages
Another example of where the average might be useful is when dealing with rates. Lets say you know one person completes a job in 10 hours and the other one completes it in 2 hours, then their respective average rates are 1/10 and 1/2, so if they were to work together, they would have a rate of 6/10, so can complete the job in $10/6=1.67$ hours