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It depends on whether it is 1 SD or 2 SD above the mean or below the mean. It also depends on which is better. Sometimes being below the mean is good (time to complete a race) whereas sometimes higher than the mean is better (score in an exam).

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โˆ™ 12y ago
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Q: Who has performed better a standard deviation of 1 or standard deviations of 2 than the mean?
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Related questions

Why do you not take the sum of absolute deviations?

You most certainly can. The standard deviation, however, has better statistical properties.


Why is standard deviation better than variance?

Better for what? Standard deviation is used for some calculatoins, variance for others.


Why standard deviation is better measure of variance?

1. Standard deviation is not a measure of variance: it is the square root of the variance.2. The answer depends on better than WHAT!


When is a t test better than a z score?

When you don't have the population standard deviation, but do have the sample standard deviation. The Z score will be better to do as long as it is possible to do it.


What is a better measure of variability range or standard deviation?

The standard deviation is better since it takes account of all the information in the data set. However, the range is quick and easy to compute.


Which is better a score of 92 on a test with a mean of 71 and a standard deviation of 15 or a score of 688 on a test with a mean of 493 and a standard deviation of 150?

score of 92


What is mean deviation and why is quartile deviation better than mean deviation?

What is mean deviation and why is quartile deviation better than mean deviation?


How is better to calculate your IQ with the basis of deviation 15 or with the basis of deviation 24?

deviation 15 is better


Give an example of how standard deviation can be useful Also why is underestimating the standard deviation as in the case with the Range Rule Thumb a better method than overestimating?

to calculate the standard deviation you must put each number in order from the least to the gr east then you must find your mean after you find your mean you must subtract your mean from each of the data set numbers once you finishsubtracting the data set numbers you add them up and divide by the amount of numbers there are and you have found the standard deviation.


Why do we have to compute for the mean median mode and standard deviation?

To obtain a much better, simpler, and more practical understanding of the data distribution.


How does a sample size impact the standard deviation?

If I take 10 items (a small sample) from a population and calculate the standard deviation, then I take 100 items (larger sample), and calculate the standard deviation, how will my statistics change? The smaller sample could have a higher, lower or about equal the standard deviation of the larger sample. It's also possible that the smaller sample could be, by chance, closer to the standard deviation of the population. However, A properly taken larger sample will, in general, be a more reliable estimate of the standard deviation of the population than a smaller one. There are mathematical equations to show this, that in the long run, larger samples provide better estimates. This is generally but not always true. If your population is changing as you are collecting data, then a very large sample may not be representative as it takes time to collect.


Does the standard deviation of x decrease in magnitude as the size of the sample gets smaller?

No. But a small sample will be a less accurate predictor of the standard deviation of the population due to its size. Another way of saying this: Small samples have more variability of results, sometimes estimates are too high and other times too low. As the sample size gets larger, there's a better chance that your sample will be close to the actual standard deviation of the population.