how to calculate the average weighted mean?
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['Multiply the numbers in your data set by the weights.', 'Add the numbers in Step 1 up. Set this number aside for a moment.', 'Add up all of the weights.', 'Divide the numbers you found in Step 2 by the number you found in Step 3.']
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It is the weighted average of the values that X can take, with weights provided by the probability distribution. The mean is also sometimes called the expected value or expectation of X and denoted by E(X).
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Variance is calculated by calculating an expected return and summing a weighted average of the squared deviations from the mean return.
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Divide the sum() by the len() of a list of numbers to find the average. You can also find the average of a list using the Python mean() function.
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['Calculate the deviation of each measurement. ... ', 'Calculate the squares of each of the deviations (i.e. di2). ... ', 'Add together all the squares of the deviations i.e.', 'Divide by the total number of measurements (i.e. n) to obtain the mean of all the square deviations.']
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['Calculate the mean (simple average of the numbers).', 'For each number: subtract the mean. Square the result.', 'Add up all of the squared results.', 'Divide this sum by one less than the number of data points (N - 1). ... ', 'Take the square root of this value to obtain the sample standard deviation.']
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In calculating a simple average, or arithmetic mean, all numbers are treated equally and assigned equal weight. But a weighted average assigns weights that determine in advance the relative importance of each data point.
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Calculate Averages Multiply the average for each category by the weight, in decimal, of each category to calculate the final points out of 100. For example, if your test average is 88.2 percent and is weighted 45 percent, the points for your overall grade out of 100 would be 39.69 (which is 88.2 x 0.45).
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['Work out the Mean (the simple average of the numbers)', 'Then for each number: subtract the Mean and square the result (the squared difference).', 'Then work out the average of those squared differences. (Why Square?)']
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Divide the total weekly salary by the number of hours worked to calculate the weighted average hourly rate. Continuing with the example, the weighted average hourly rate is $21.25 ($850 / 40).
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While SUMPRODUCT function is the best way to calculate the weighted average in Excel, you can also use the SUM function. To calculate the weighted average using the SUM function, you need to multiply each element, with its assigned importance in percentage.
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To calculate the mean of grouped data, the first step is to determine the midpoint (also called a class mark) of each interval, or class. These midpoints must then be multiplied by the frequencies of the corresponding classes. The sum of the products divided by the total number of values will be the value of the mean.
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['Find a mean of the set of data.', 'Subtract each number from a mean.', 'Square the result.', 'Add the results together.', 'Divide a result by the total number of numbers in the data set.']
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Weighting a Stock Portfolio The investor can calculate a weighted average of the share price paid for the shares. In order to do so, multiply the number of shares acquired at each price by that price, add those values and then divide the total value by the total number of shares.
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Start by multiplying the hours worked by each of the pay rates. Add the sums to get total compensation and divide this number by the hours worked to get the regular rate. This is the weighted average.
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The weighted average number of shares is calculated by taking the number of outstanding shares and multiplying the portion of the reporting period those shares covered, doing this for each portion and, finally, summing the total. The weighted average number of outstanding shares in our example would be 150,000 shares.
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WEIGHTED AVERAGE PROFIT METHOD: in order to find out value of product. The sum of the product is then divided by the total weights to get weighted average profits the weighted profit is then multiplied by Number of year's purchase.