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In the Philippines, some universities follow a 4-Point Scale, which resembles or is equivalent to the U.S. grading system.This system uses a grade between 0.00 to 4.00 wherein 4.00 is the highest and 0.00 being a failing mark.
The weighted arithmetic mean is similar to an ordinary arithmetic mean (the most common type of average), except that instead of each of the data points contributing equally to the final average, some data points contribute more than others.
A weighted average, or weighted mean, is an average in which some data points count more heavily than others in that they are given more weight in the calculation. [6] For example, the arithmetic mean of 3 {\displaystyle 3} and 5 {\displaystyle 5} is 3 + 5 2 = 4 {\displaystyle {\frac {3+5}{2}}=4} , or equivalently 3 ⋅ 1 2 + 5 ⋅ 1 2 = 4 ...
The expected value of a random variable is the weighted average of the possible values it might take on, with the weights being the respective probabilities. More generally, the expected value of a function of a random variable is the probability-weighted average of the values the function takes on for each possible value of the random variable.
Additionally, most schools calculate a student's grade point average (GPA) by assigning each letter grade a number and averaging those numerical values. Generally, American schools equate an A with a numerical value of 4.0. Most graduate schools require a 3.0 (B) average to take a degree, with C or C− being the lowest grade for course credit.
The University Predicted Grade (UPG) is a combined score of an applicant's weighted UPCAT score (60%) and the weighted average of their grades in high school (40%). The admission test results are ranked according to the examinees' UPGs.
The second form above illustrates that the logarithm of the geometric mean is the weighted arithmetic mean of the logarithms of the individual values. If all the weights are equal, the weighted geometric mean simplifies to the ordinary unweighted geometric mean. [1]
The weighted harmonic mean is the preferable method for averaging multiples, such as the price–earnings ratio (P/E). If these ratios are averaged using a weighted arithmetic mean, high data points are given greater weights than low data points. The weighted harmonic mean, on the other hand, correctly weights each data point. [14]