Measure of dispersion

If we summed the differences of the mean from each wage, we would get 5.

Measures of spread: range, variance & standard deviation

Calculate the root mean square anomaly of monthly cloud cover over Africa for January to December Enter the following lines under the text already there: So this right here, this data set right here is more disperse, right. You're just going to have some samples of it, and you're going to try to estimate things for the entire population.

Square it, you get 1. This makes Measure of dispersion easy to determine the distance to a given pulsar. Commonly used percentile measures are named in terms of how they divide distributions.


More commonly used than the standard deviation function in the statistical analysis of climate data because climate-related datasets are generally quite large in size, in terms of number of data points. This is divided by 10, because we have 10 numbers in our data set.

For categorical variablesit is less common to measure dispersion by a single number; see qualitative variation.

The length of the whiskers indicate visually how extreme the outliers are. So this is 10 times the standard deviation. It's kind of an odd set of units. Let me scroll down a little bit. Enter the following text below the text already there: And what do we have here.

Therefore, all the values do not fall within three standard deviations. Risk or volatility is often expressed as a standard deviation rather than variance because the former is more easily interpreted. So the variance here-- let me make sure I got that right.

A lower volatility means that a security's value does not fluctuate dramatically, and tends to be more steady. All of these numbers are very close to Here, these numbers are further away from Or if you don't want to worry about the word population or sample and all of that, both of these data sets have the exact same arithmetic mean.

For example, a stock with a beta value of 1. Along with correlation, the variance of asset returns helps investors to develop optimal portfolios by optimizing the return-volatility trade-off in investment portfolios.

Also, it may be due to intra-individual variability, that is, one and the same subject differing in tests taken at different times or in other differing conditions.

Statistical dispersion

Actually, we're going to see the standard deviation in this video. Anyway, hopefully, you found that useful. So this is the squared differences between each number and the mean. CHECK The above command computes the median value over the monthly climatologies at each grid point in the field.

You literally take the largest number, which is 30 in our example, and from that, you subtract the smallest number. So this is going to be equal to-- 8 minus 10 is negative 2 squared, is positive 4.

This example uses the same dataset and variable as the previous example. In theory, percentile scores divide a distribution into equal sized groups. I know these are all fancy words. A particle dispersion is a homogeneous distribution of materials in a liquid phase.

High-quality dispersions typically possess high stability with a long shelf-life, resist sedimentation and exhibit the customer’s targeted rheology. Economics and finance. Dispersion (finance), a measure for the statistical distribution of portfolio returns Price dispersion, a variation in prices across sellers of the same item; Wage dispersion, the amount of variation in wages encountered in an economy; Dispersed knowledge, notion that any one person is unable to perceive all economic forces; Science and mathematics.

Measures of dispersion measure how spread out a set of data is. Variance and Standard Deviation. The formulae for the variance and standard deviation are given below. m. In the last video we talked about different ways to represent the central tendency or the average of a data set. What we're going to do in this video is to expand that a.

Cynthia Schneider looks at two international "American Idol"-style shows -- one in Afghanistan, and one in the United Arab Emirates -- and shows the surprising effect that these reality-TV competitions are creating in their societies. As indicated in the explanation of the determination of the national average wage index (AWI), the latest annual change in the "raw" average wages is applied to the last AWI to obtain the next one.

Such raw average wages are the average amounts of net compensation (as distinct from total employee compensation) listed in the table below.

Measure of dispersion
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Statistics -- from Wolfram MathWorld