The word average used in simple average and weighted average generally...
Introduction:
The terms simple average and weighted average are used in various fields, such as statistics, finance, and economics. They are both methods used to calculate an average value of a set of data points. In this response, we will discuss the meaning of the word "average" in simple and weighted average.
Simple Average:
A simple average is a method of finding the average value of a set of data points by adding up all the values and dividing the sum by the total number of values. For example, if we have a set of numbers {2, 4, 6, 8}, we can find the simple average by adding up all the numbers (2+4+6+8=20) and dividing by the total number of values (4). Therefore, the simple average is 5.
In simple average, the word "average" refers to the arithmetic mean. It is a commonly used method to find the average value of a set of data points. However, it gives equal weight to each data point without considering their importance or significance.
Weighted Average:
A weighted average is a method of finding the average value of a set of data points by giving different weights to each data point based on their importance or significance. For example, if we have a set of grades for a student {80, 90, 70}, and each grade is worth a different percentage of the final grade (30%, 40%, and 30%), we can find the weighted average by multiplying each grade by its corresponding weight, adding up all the values, and dividing by the total weight. Therefore, the weighted average is (80*0.3)+(90*0.4)+(70*0.3) / (0.3+0.4+0.3) = 80.33.
In weighted average, the word "average" refers to the weighted arithmetic mean. It takes into account the importance or significance of each data point by giving them different weights. This makes it a more accurate method of finding the average value of a set of data points.
Conclusion:
In conclusion, the word "average" in simple average refers to the arithmetic mean, while in weighted average, it refers to the weighted arithmetic mean. Simple average gives equal weight to each data point, while weighted average takes into account the importance or significance of each data point by giving them different weights. Both methods are useful in different contexts and should be chosen based on the specific requirements of the problem at hand.
The word average used in simple average and weighted average generally...
An average is a middle or typical number of a list of numbers... option c
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