The weighted average rating factor (WARF) is a measure that is used by credit rating companies to indicate the credit quality of a portfolio. This measure aggregates the credit ratings of the portfolio’s holdings into a single rating. WARFs are most often calculated for collateralized debt obligations (CDOs).
How do you calculate a weighted average?
To find a weighted average, multiply each number by its weight, then add the results. If the weights don’t add up to one, find the sum of all the variables multiplied by their weight, then divide by the sum of the weights.
What is weighted average mass in chemistry?
The average atomic mass (sometimes called atomic weight) of an element is the weighted average mass of the atoms in a naturally occurring sample of the element. Average masses are generally expressed in unified atomic mass units (u), where 1 u is equal to exactly one-twelfth the mass of a neutral atom of carbon-12.
How do you find the average in chemistry?
How to Calculate Average. The average of a set of numbers is simply the sum of the numbers divided by the total number of values in the set.
What is the formula for calculating the average weighted mass of an element?
Sample Problem: Calculating Average Atomic Mass Change each percent abundance into decimal form by dividing by 100. Multiply this value by the atomic mass of that isotope. Add together for each isotope to get the average atomic mass.
What is weighted average with example?
For example, say an investor acquires 100 shares of a company in year one at $10, and 50 shares of the same stock in year two at $40. To get a weighted average of the price paid, the investor multiplies 100 shares by $10 for year one and 50 shares by $40 for year two, and then adds the results to get a total of $3,000.
What is weight average molecular mass?
The average molecular weight is determined by summing the weights of all the chains and then dividing by the total number of chains. The average molecular weight is an important method of characterizing polymers. The three ways to represent average molecular weight is: • number average molecular weight, M.
How do you calculate the average atomic mass of an element?
How do you find the average molar mass in chemistry?
How do you calculate the weighted average of the individual atomic masses to get the atomic weight?
Solution: To calculate the average atomic weight, each isotopic atomic weight is multiplied by its percent abundance (expressed as a decimal). Then, add the results together and round off to an appropriate number of significant figures. This is commonly rounded to 12.011 or sometimes 12.01.
How Do You Solve average atomic mass problems?
How do you calculate the mean average?
You can find the mean, or average, of a data set in two simple steps: Find the sum of the values by adding them all up. Divide the sum by the number of values in the data set.
How do I calculate a weighted average in Excel?
To calculate the weighted average in Excel, you must use the SUMPRODUCT and SUM functions using the following formula: =SUMPRODUCT(X:X,X:X)/SUM(X:X) This formula works by multiplying each value by its weight and combining the values. Then, you divide the SUMPRODUCT but the sum of the weights for your weighted average.
How is weighted average marks calculated?
Your WAM is calculated by multiplying each unit of study mark by its weighted credit point value, then adding these totals together. This is then divided by the sum of the weighted credit points.
What is difference between average and weighted average?
The average is the sum of all individual observations divided by the number of observations. In contrast, the weighted average is observation multiplied by the weight and added to find a solution.
What is weight average and number average molecular weight?
The key difference between number average and weight average molecular weight is that the number average molecular weight refers to the mole fraction of molecules in a polymer sample whereas the weight average molecular weight is the weight fraction of molecules in a polymer sample.
How do you calculate the average molecular weight of a gas mixture?
The weight of the gas divided by its STP volume yields the density of the gas, and the density multiplied by 22.4 mol–1 gives the molecular weight.
How do you calculate the average molecular weight of a polymer?
- Total weight.
- Total number.
- M N ― = ∑ i = 1 ∞ x i M i.
- M W ― = ∑ i = 1 ∞ w i M i.
Why do we calculate average atomic mass?
The average atomic mass is useful because its numerical value is equal to the molar mass of the element. This in turn is useful to know how much of a solid to take when you wish to react it with some known quantity of another reagent, because weighing is typically the easiest way to quantify a substance.
How do you calculate the average atomic mass of isotopes with abundance?
Change each percent abundance into decimal form by dividing by 100. Multiply this value by the atomic mass of that isotope. Add together for each isotope to get the average atomic mass.
What is the weighted average mass of chlorine GED?
Hence, the weighted average mass of chlorine is 35.48 amu.
Why must atomic masses be weighted averages rather than conventional average values?
The mass written on the periodic table is an average atomic mass taken from all known isotopes of an element. This average is a weighted average, meaning the isotope’s relative abundance changes its impact on the final average. The reason this is done is because there is no set mass for an element.
What are the 3 ways to calculate average?
There are three main types of average: mean, median and mode. Each of these techniques works slightly differently and often results in slightly different typical values. The mean is the most commonly used average. To get the mean value, you add up all the values and divide this total by the number of values.
What is the ∑ F?
∑f= Summation of all the frequencies.
What is the difference between average and mean average?
The average is the sum of all values divided by the number of values. It is also sometimes referred to as mean. In statistics, mean is the average of the given sample or data set. It is equal to the total of observation divided by the number of observations.