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Is a value two standards deviation from the mean more likely to occur than a value three standard deviations from the mean?
Wiki User
∙ 14y ago
yes the farther away from the mean, the less likely it is......the numbers on the very ends are outliers, meaning that it happened by chance. the numbers closer to the mean are the ones that happen the most.
Wiki User
∙ 14y ago
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How standard deviation formula can be used in in cement industry?
Usually, industrial use of standard deviation is involved in quality control and testing. A product such as cement, is produced in batches, and I assume, requires periodic testing to ensure consistent properties. The sample test variations can be evaluated using standard deviation. If the standard deviation is high, it is likely that inferior product could be shipped. Probability analysis can determine the chance that product below certain standards would be shipped.
What if I have a very high standard deviation?
The larger the value of the standard deviation, the more the data values are scattered and the less accurate any results are likely to be.
When comparing electrical usage among customer a small standard deviation indicates that the mean is?
It doesn't matter whether comparisons are involved. A small standard deviation indicates that population values are likely to be clustered closely around the mean.
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%
What is standard deviations?
It is defined as the positive square root of the mean of the squared deviations from mean. The square of S.D is called variance. The standard deviation is used as a measure of the variance of a measurement within a group of objects. In essence, it is the average difference between the measurement of any one object and the mean measurement for the group. For example, if the average measured weight of brown bears is 140kg (265lbs) and the standard deviation of weights among brown bears is 5kg (11lbs), then any particular, individual brown bear is likely to weight between 135-145kg (254-276lbs), and very likely to weight between 130-150kg (243-287lbs). It's impossible to know the weight of an individual bear just by looking at the mean weight for all bears, but the standard deviation tells you what range of weights the weight of an individual bear will fall in.
What are uses of standard deviation in business?
Using standard deviations someone can tell how likely a person is to do something, or how often the majority do, e.g. how much electricity is used by 90% of people or how likely they are to use a certain amount.
What is an acceptable standard deviation?
An acceptable standard deviation depends entirely on the study and person asking for the study. The smaller the standard deviation, the more acceptable it will be because the less likely there are to be errors.
How standard deviation formula can be used in in cement industry?
Usually, industrial use of standard deviation is involved in quality control and testing. A product such as cement, is produced in batches, and I assume, requires periodic testing to ensure consistent properties. The sample test variations can be evaluated using standard deviation. If the standard deviation is high, it is likely that inferior product could be shipped. Probability analysis can determine the chance that product below certain standards would be shipped.
What if I have a very high standard deviation?
The larger the value of the standard deviation, the more the data values are scattered and the less accurate any results are likely to be.
Can standard deviation equals to variance?
The variance is the square of the standard deviation.This question is equivalent tocan s = s^2The answer is yes, but only in two cases.If the standard deviation is 1 exactly, then so is the variance.If the standard deviation is 0 exactly, then so is the variance.If the standard deviation is anything else, then it is not equal to the variance.You are not likely to find these special cases in practical problems, so from a practical sense, you should think that they are generally not equal.
When comparing electrical usage among customer a small standard deviation indicates that the mean is?
It doesn't matter whether comparisons are involved. A small standard deviation indicates that population values are likely to be clustered closely around the mean.
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%
What is deviation?
It is defined as the positive square root of the mean of the squared deviations from mean. The square of S.D is called variance. The standard deviation is used as a measure of the variance of a measurement within a group of objects. In essence, it is the average difference between the measurement of any one object and the mean measurement for the group. For example, if the average measured weight of brown bears is 140kg (265lbs) and the standard deviation of weights among brown bears is 5kg (11lbs), then any particular, individual brown bear is likely to weight between 135-145kg (254-276lbs), and very likely to weight between 130-150kg (243-287lbs). It's impossible to know the weight of an individual bear just by looking at the mean weight for all bears, but the standard deviation tells you what range of weights the weight of an individual bear will fall in.
What is the relationship between standard deviation and accuracy?
It depends what you're asking. The question is extremely unclear. Accuracy of what exactly? Even in the realm of statistics an entire book could be written to address such an ambiguous question (to answer a myriad of possible questions). If you simply are asking what the relationship between the probability that something will occur given the know distribution of outcomes (such as a normal distribution), the mean of that that distribution, and the the standard deviation, then the standard deviation as a represents the spread of the curve of probability. This means that if you had a cure where 0 was the mean, and 3 was the standard deviation, the likelihood of observing a value of 12 (or -12) would be likely inaccurate if that was your prediction. However, if you had a mean of 0 and a standard deviation of 100, the likelihood of observing of a 12 (or -12) would be quite likely. This is simply because the standard deviation provides a simple representation of the horizontal spread of probability on the x-axis.
What is standard deviations?
It is defined as the positive square root of the mean of the squared deviations from mean. The square of S.D is called variance. The standard deviation is used as a measure of the variance of a measurement within a group of objects. In essence, it is the average difference between the measurement of any one object and the mean measurement for the group. For example, if the average measured weight of brown bears is 140kg (265lbs) and the standard deviation of weights among brown bears is 5kg (11lbs), then any particular, individual brown bear is likely to weight between 135-145kg (254-276lbs), and very likely to weight between 130-150kg (243-287lbs). It's impossible to know the weight of an individual bear just by looking at the mean weight for all bears, but the standard deviation tells you what range of weights the weight of an individual bear will fall in.
What is the goal of setting a realistic standard cost?
The goal of the personnel responsible for setting standard costs is to provide realistic standards. Only standards perceived to be reasonable are likely to motivate workers to adhere to what is prescribed.
What can be said about a set of data when its standard deviation is small but not zero?
This means that the set of data is clustered really close to the mean/average. Your data set likely has a small range (highest value - lowest value). In other words, if the average is 6.3, and the standard deviation is 0.7, this means that each individual piece of data, on average, is different from the mean by 0.7. Each piece of data deviates from the mean by an average (standard) of 0.7; hence standard deviation! By definition, 66% of all data is 1 standard deviation from the mean, so 66% of the data in this example would be between the values of 5.6 and 7.0.
