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Q: Is it possible to be 15 standard deviations from the mean?
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What is the standard deviation for Wechsler intelligence for children?

The mean for the WISC, like the WAIS, is 100. The deviations from 100, or standard deviations, are 15.


IQ test scores are normally distributed with a mean of 100 and a standard deviation of 15 An individual's IQ score is found to be 110 Find the z-score corresponding to this value?

mean= 100 standard deviation= 15 value or x or n = 110 the formula to find the z-value = (value - mean)/standard deviation so, z = 110-100/15 = .6666666 = .6667


A simple random sample of 64 observations was taken from a large population The sample mean and the standard deviation were determined to be 320 and 120 respectively The standard error of the mean you?

15


How do you interpret if this is the data SD of 15.79 and mean of 126.9 or SD of 8.29 and mean of 124.7 also How do you know if the standard deviation is high and is there a highest possible SD?

n probability theory and statistics, thestandard deviation of a statistical population, a data set, or a probability distribution is the square root of itsvariance. Standard deviation is a widely used measure of the variability ordispersion, being algebraically more tractable though practically less robustthan the expected deviation or average absolute deviation.It shows how much variation there is from the "average" (mean). A low standard deviation indicates that the data points tend to be very close to the mean, whereas high standard deviation indicates that the data are spread out over a large range of values.For example, the average height for adult men in the United States is about 70 inches (178 cm), with a standard deviation of around 3 in (8 cm). This means that most men (about 68 percent, assuming a normal distribution) have a height within 3 in (8 cm) of the mean (67-73 in (170-185 cm)) - one standard deviation, whereas almost all men (about 95%) have a height within 6 in (15 cm) of the mean (64-76 in (163-193 cm)) - 2 standard deviations. If the standard deviation were zero, then all men would be exactly 70 in (178 cm) high. If the standard deviation were 20 in (51 cm), then men would have much more variable heights, with a typical range of about 50 to 90 in (127 to 229 cm). Three standard deviations account for 99.7% of the sample population being studied, assuming the distribution is normal (bell-shaped).


What is the purpose of finding the standard deviation of a data set?

The purpose of obtaining the standard deviation is to measure the dispersion data has from the mean. Data sets can be widely dispersed, or narrowly dispersed. The standard deviation measures the degree of dispersion. Each standard deviation has a percentage probability that a single datum will fall within that distance from the mean. One standard deviation of a normal distribution contains 66.67% of all data in a particular data set. Therefore, any single datum in the data has a 66.67% chance of falling within one standard deviation from the mean. 95% of all data in the data set will fall within two standard deviations of the mean. So, how does this help us in the real world? Well, I will use the world of finance/investments to illustrate real world application. In finance, we use the standard deviation and variance to measure risk of a particular investment. Assume the mean is 15%. That would indicate that we expect to earn a 15% return on an investment. However, we never earn what we expect, so we use the standard deviation to measure the likelihood the expected return will fall away from that expected return (or mean). If the standard deviation is 2%, we have a 66.67% chance the return will actually be between 13% and 17%. We expect a 95% chance that the return on the investment will yield an 11% to 19% return. The larger the standard deviation, the greater the risk involved with a particular investment. That is a real world example of how we use the standard deviation to measure risk, and expected return on an investment.

Related questions

What is the standard deviation for Wechsler intelligence for children?

The mean for the WISC, like the WAIS, is 100. The deviations from 100, or standard deviations, are 15.


What percent lies more than 3 standard deviations above the mean?

15/1000


What does a score of 80 on the Peabody Picture Vacabulary measure mean?

In general, and assuming a reported mean of 100 and an SD of 15 for the PPV norm groups, a score of 80 is 1.3 standard deviations below the mean. It is not the worst possible score, but it does represent a significant deviation from the average performance.


Standard deviation is helpful in calculating?

Standard deviation is a calculation. It I used in statistical analysis of a group of data to determine the deviation (the difference) between one datum point and the average of the group.For instance, on Stanford-Binet IQ tests, the average (or, mean) score is 100, and the standard deviation is 15. 65% of people will be within a standard deviation of the mean and score between 85 and 115 (100-15 and 100+15), while 95% of people will be within 2 standard deviations (30 points) of the mean -- between 70 and 130.


How to use the Empirical Rule to estimate the proportion of costs within two standard deviations of the mean?

IQ scores for adult students age 25-45 have a bell-shaped distribution with a mean of 100 and a standard deviation of 15.sing the Empirical Rule, what percentage of adult students age 25-45 have IQ scores between 70 and 130?


The weights of nine men have a mean of 175 and a standard deviation of 15 what is the standard error of the mean?

(15/sqroot(9))=5 So it is 5


What is the general scale for IQ?

Generally IQ measures are standardized so that an IQ of 100 is the average score for the norming population, and standard deviations can vary from 10 to 15, depending on the measure used.


What does 815 mean in standard time?

It is 8:15 am


How smart are you when your IQ's 145?

What an IQ of 145 means really depends on the test. On some tests it might means that you are smarter than 99.85% of the population, on others it might mean that you are brighter than about 80% of the population. Modern IQ tests tend to be designed to give a normal distribution of scores with 100 as the mean. A normal distribution is a bell shape, so that the closer the IQ is to 100, the more people there are with that IQ. Exactly how many for a given IQ depends on something called the standard deviation. About two thirds of people have an IQ within 1 standard deviation of 100 (the mean). For example, IQ tests commonly have a standard deviation of about +/-15. This means about two thirds of people have an IQ between 85 and 115. You might call this the average range. About 95% of people will be within two standard deviations, so using the same example, about 95% of people will have an IQ between 70 and 130. And 99.7% within 3 standard deviations. So, on an IQ test with a standard deviation of +/-15, you might say that people with an IQ of 130 or more are above average (in the top 15% or so), and if your IQ is 145 then you are in the top 0.15% of the population. However, the standard deviation depends on the test. Standard deviations on common tests range from 10 to 24. Because of this, these days psychologists tend to talk of percentile ranges when talking about IQ with a certain confidence interval. So, you would be far more likely to be told that your IQ is in the 94% percentile range with a confidence interval of 90%


Is an 132 IQ good for an 17 year old?

100 is the average IQ with a standard deviation of 15. This means that 66% of people have an IQ of 100 plus or minus 15 or 85 to 115. 132 is more than 2 standard deviations from the average so it is a good IQ, regardless of age. Further, IQ is relatively stable throughout life.


Is an IQ of 149 good for a 10 year old?

An IQ of 149 is very high for anyone. Depending on whether or not the IQ is based on 15 standard deviations or 16 standard deviations, this IQ will put you slightly above or below the highest 99.9% of the population (respectively). An IQ score is supposed to be independent of age, however people with very high IQ test scores as children often test at lower IQ test scores as adults.


How many miles was this winter's maximum Arctic sea ice extent?

As of March 18 2010, Arctic Sea ice appears to be peaking just under 15 million km2, which is finally within 2 standard deviations of the mean after following the 2006-2007 record low for much of the winter (see related link).