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Does the outlier affect the standard deviation?
Yes, outliers can significantly affect the standard deviation. Since standard deviation measures the dispersion of data points from the mean, the presence of an outlier can increase the overall variability, leading to a higher standard deviation. This can distort the true representation of the data's spread and may not accurately reflect the typical data points in the dataset.
How do sample size confidence level and standard deviation affect the margin of error?
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A score set has a mean of 53 and a standard deviation of 5.6 If each score was multiplied by 0.9 and then had 7 added state the new standard deviation?
Standard deviation is the spread of the data. If each score has 7 added, this would not affect the spread of the data - it would be just as evenly spaced or clumped up, but 7 greater. The only thing that would affect the spread is multiplying every data point by 0.9. This makes distances between the data points 0.9 times as big, and thus makes the standard deviation 0.9 times as big. The standard deviation was 5.6, and so now is 5.6x0.9 = 5.04
How is expected rate of return calculated from average rate of return on investment and standard deviation?
The expected rate of return is simply the average rate of return. The standard deviation does not directly affect the expected rate of return, only the reliability of that estimate.
What factors affect the size of the standard error of the mean?
The size of the standard error of the mean (SEM) is primarily affected by the sample size, the population standard deviation, and the inherent variability of the data. As the sample size increases, the SEM decreases because larger samples tend to provide more accurate estimates of the population mean. Conversely, a larger population standard deviation results in a larger SEM, indicating greater variability in the data. Thus, the SEM is calculated as the population standard deviation divided by the square root of the sample size (SEM = σ/√n).
Does outlier affect standard deviation?
Yes.
Does the outlier affect the standard deviation?
Yes, outliers can significantly affect the standard deviation. Since standard deviation measures the dispersion of data points from the mean, the presence of an outlier can increase the overall variability, leading to a higher standard deviation. This can distort the true representation of the data's spread and may not accurately reflect the typical data points in the dataset.
If each score in a set of scores were increased by 6 points how would this affect the mean and the standard deviation?
This would increase the mean by 6 points but would not change the standard deviation.
How do sample size confidence level and standard deviation affect the margin of error?
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A score set has a mean of 53 and a standard deviation of 5.6 If each score was multiplied by 0.9 and then had 7 added state the new standard deviation?
Standard deviation is the spread of the data. If each score has 7 added, this would not affect the spread of the data - it would be just as evenly spaced or clumped up, but 7 greater. The only thing that would affect the spread is multiplying every data point by 0.9. This makes distances between the data points 0.9 times as big, and thus makes the standard deviation 0.9 times as big. The standard deviation was 5.6, and so now is 5.6x0.9 = 5.04
How is expected rate of return calculated from average rate of return on investment and standard deviation?
The expected rate of return is simply the average rate of return. The standard deviation does not directly affect the expected rate of return, only the reliability of that estimate.
How would the mean and standard deviation change if the largest data in each set were removed?
Yes. The standard deviation and mean would be less. How much less would depend on the sample size, the distribution that the sample was taken from (parent distribution) and the parameters of the parent distribution. The affect on the sampling distribution of the mean and standard deviation could easily be identified by Monte Carlo simulation.
What are the factors that affecting the quality of data?
Trends, covariance, and correlation are the big ones. Statistical significance, unit roots, heteroskedasticity, and format and source of the data would affect quality too.
Why is statistical significance not necessarily of practical importance to a business decision?
Some data in statistics can affect numbers, which will skew the data. When this happens managers should make business decisions that ignore the stats.
If two distributions have exactly the same mean and standard deviation must their histograms have the same shape If they have the same five-number summary must their histograms have the same shape?
No, and no. Think about two skewed distributions that are mirrored across the mean so that one is right and one is left. they have the same mean and standard deviation, but are opposite. Also, the 5 number summary does not affect a histogram
How does sample size affect t score?
The estimated standard deviation goes down as the sample size increases. Also, the degrees of freedom increase and, as they increase, the t-distribution gets closer to the Normal distribution.
How does a stroke affect tongue deviation?
A stroke can affect tongue deviation by causing weakness or paralysis in the muscles that control the tongue. This can lead to difficulty in moving the tongue properly, resulting in deviations or abnormal movements when speaking or swallowing.
