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Why is standard deviation a better measure of dispersion than variance?
Because it is in same units as the original data. For example, if you have a sample of lengths, all in centimetres, the sample variance will be in units of centrimetres2 which might be more difficult to interpret but the sample standard deviation with be in units of centimetres, which would be relatively easy to intepret with reference to the data.
Why is standard deviation better than range at measuring dispersion?
Standard deviation is generally considered better than range for measuring dispersion because it takes into account all data points in a dataset, rather than just the extremes. This allows standard deviation to provide a more comprehensive understanding of how data points vary around the mean. Additionally, standard deviation is less affected by outliers, making it a more robust measure of variability in most datasets. In contrast, range can be misleading as it only reflects the difference between the highest and lowest values.
Why do you not take the sum of absolute deviations?
You most certainly can. The standard deviation, however, has better statistical properties.
When calculating a standard deviation in which case would you subtract one from the number of observations in the denominator of the formula?
You subtract one from the number of observations in the denominator when calculating the sample standard deviation, as opposed to the population standard deviation. This adjustment, known as Bessel's correction, accounts for the fact that a sample is only an estimate of the population and helps to provide an unbiased estimate of the population standard deviation. By using ( n-1 ) instead of ( n ), the variability is better represented.
How is better to calculate your IQ with the basis of deviation 15 or with the basis of deviation 24?
deviation 15 is better
Why is standard deviation better than variance?
Better for what? Standard deviation is used for some calculatoins, variance for others.
Why is standard deviation a better measure of dispersion than variance?
Because it is in same units as the original data. For example, if you have a sample of lengths, all in centimetres, the sample variance will be in units of centrimetres2 which might be more difficult to interpret but the sample standard deviation with be in units of centimetres, which would be relatively easy to intepret with reference to the data.
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.
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.
Is the coefficient of variation a better measure of risk than the standard deviation if the expected returns of the securities being compared differ significantly?
The Standard deviation is an absolute measure of risk while the coefficent of variation is a relative measure. The coefficent is more useful when using it in terms of more than one investment. The reason being that they have different returns on average which means the standard deviation may understate the actual risk or overstate depending.
Why is standard deviation better than range at measuring dispersion?
Standard deviation is generally considered better than range for measuring dispersion because it takes into account all data points in a dataset, rather than just the extremes. This allows standard deviation to provide a more comprehensive understanding of how data points vary around the mean. Additionally, standard deviation is less affected by outliers, making it a more robust measure of variability in most datasets. In contrast, range can be misleading as it only reflects the difference between the highest and lowest values.
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?
Why do you not take the sum of absolute deviations?
You most certainly can. The standard deviation, however, has better statistical properties.
When calculating a standard deviation in which case would you subtract one from the number of observations in the denominator of the formula?
You subtract one from the number of observations in the denominator when calculating the sample standard deviation, as opposed to the population standard deviation. This adjustment, known as Bessel's correction, accounts for the fact that a sample is only an estimate of the population and helps to provide an unbiased estimate of the population standard deviation. By using ( n-1 ) instead of ( n ), the variability is better represented.
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.
