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- #CAN YOU CALCULATE WEIGHTED STANDARD DEVIATION CONTINUOUS HOW TO#
- #CAN YOU CALCULATE WEIGHTED STANDARD DEVIATION CONTINUOUS FULL#
While having the data for 5 funds would probably be insufficient to estimate standard deviation for the whole population, 100 funds’ data can be enough and still very realistic to get. I must only make sure that my sample is large enough. It is not necessary (and probably not possible) to collect the data for all the funds in the world (the population). So how will I do it? I will try to collect the data for some of the equity funds – these funds will be my sample. Estimating Population Standard Deviation from a Sample And even if I could, it would take a long time and cost a lot of money to get all the data.Ĭontrary to the previous example, I now don’t have all the data available and I will have to estimate the population’s standard deviation from a sample. In short, I have no chance that I could get the data for all the funds. Some of them probably aren’t on the Bloomberg, don’t have a website, and don’t publish their performance. There are thousands of equity funds in the world. My population is now much larger than in the previous example. Question: What is the standard deviation of last year’s returns of equity funds in the world?Ĭompared to calculating standard deviation of concretely specified 12 funds, I now want to know the standard deviation of returns of all equity funds in the world. Example 2: Sample Variance and Standard Deviation In this case, because I have the data for the whole population available, I call them population variance and population standard deviation. Then the square root of variance is the standard deviation. I take the performance of each of the 12 funds in the last year, calculate the mean, then the deviations from the mean, square the deviations, sum the squared deviations up, divide by 12 (the number of funds), and get the variance. I have all the data available, as it is very easy to find these 12 funds’ performance data. I am only interested in the 12 funds I have invested in and I don’t care about the thousands of other funds which exist in the world. There is no estimating or forecasting in this task. Question: What is the standard deviation of last year’s returns of the 12 funds I have invested in? Example 1: Population Variance and Standard Deviation In the second case we call them sample variance and sample standard deviation. In the first case we call them population variance and population standard deviation. When calculating variance and standard deviation, it is important to know whether we are calculating them for the whole population using all the data, or we are calculation them using only a sample of data. The size of a sample can be less than 1%, or 10%, or 60% of the population, but it is never the whole population. mean or standard deviation) of the whole population. Population is the whole group.Ī sample is a part of a population that is used to describe the characteristics (e.g. occurrences, prices, annual returns) of a specified group. A population is defined as all members (e.g. In statistics it is very important to distinguish between population and sample. The primary task of inferential statistics (or estimating or forecasting) is making an opinion about something by using only an incomplete sample of data. After all, as investors or speculators, we often have to face the problem that we want to know what we don’t know (for example, whether stock XYZ will go up or down tomorrow and by how much). Of these two broad areas of statistics, inferential statistics is the one that is much more interesting and much more frequently used in finance and investing. Inferential statistics (the estimating and forecasting part of statistics) deals with the problem of not having all the data.
#CAN YOU CALCULATE WEIGHTED STANDARD DEVIATION CONTINUOUS HOW TO#
Its goal is either to describe something that has already happened or already exists ( descriptive statistics), or to estimate something that has not happened yet or is not fully known ( inferential statistics).ĭescriptive statistics deals with the problem how to effectively look at data we already have. In general statistics performs two main tasks. For detailed explanation how to calculate both measures see Calculating Variance and Standard Deviation in 4 Easy Steps. These definitions may sound confusing when encountered for the first time.
#CAN YOU CALCULATE WEIGHTED STANDARD DEVIATION CONTINUOUS FULL#
Standard deviation is calculated as the square root of variance or in full definition, standard deviation is the square root of the average squared deviation from the mean. Variance is defined and calculated as the average squared deviation from the mean. Variance and standard deviation are widely used measures of dispersion of data or, in finance and investing, measures of volatility of asset prices. Variance and Standard Deviation Definition and Calculation