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The mean and standard deviation are usually not used together because of outliers?
false
If outliers are added to a dataset how would the variance and standard deviation change?
They would both increase.
What does the sample standard deviation best estimate?
The standard deviation of the population. the standard deviation of the population.
Is absolute mean deviation affected by outliers?
Yes.
Who is statement below is correct concerning outliers?
To accurately assess the correctness of statements concerning outliers, I would need to see the specific statements in question. In general, outliers are data points that differ significantly from the overall pattern of data, and they can influence statistical analyses, such as mean and standard deviation. Identifying outliers is important for understanding data distribution and ensuring the robustness of statistical conclusions.
The mean and standard deviation are usually not used together because of outliers?
false
If outliers are added to a dataset how would the variance and standard deviation change?
They would both increase.
What is the relation between quartile deviation and standard deviation?
Strictly speaking, none. A quartile deviation is a quick and easy method to get a measure of the spread which takes account of only some of the data. The standard deviation is a detailed measure which uses all the data. Also, because the standard deviation uses all the observations it can be unduly influenced by any outliers in the data. On the other hand, because the quartile deviation ignores the smallest 25% and the largest 25% of of the observations, there are no outliers.
What does the sample standard deviation best estimate?
The standard deviation of the population. the standard deviation of the population.
Is mean deviation less than standard deviation?
Yes, the mean deviation is typically less than or equal to the standard deviation for a given dataset. The mean deviation measures the average absolute deviations from the mean, while the standard deviation takes into account the squared deviations, which can amplify the effect of outliers. Consequently, the standard deviation is usually greater than or equal to the mean deviation, but they can be equal in certain cases, such as when all data points are identical.
Which of the following is least affected if an extreme high outlier is added to your data mean median or standard deviation or ALL?
The median is least affected by an extreme outlier. Mean and standard deviation ARE affected by extreme outliers.
Is the standard deviation best thought of as the distance from the mean?
No. A small standard deviation with a large mean will yield points further from the mean than a large standard deviation of a small mean. Standard deviation is best thought of as spread or dispersion.
Is absolute mean deviation affected by outliers?
Yes.
Why standard deviation is best measure of dispersion?
standard deviation is best measure of dispersion because all the data distributions are nearer to the normal distribution.
What are the assumptions of standard deviation?
The standard deviation is the standard deviation! Its calculation requires no assumption.
Who is statement below is correct concerning outliers?
To accurately assess the correctness of statements concerning outliers, I would need to see the specific statements in question. In general, outliers are data points that differ significantly from the overall pattern of data, and they can influence statistical analyses, such as mean and standard deviation. Identifying outliers is important for understanding data distribution and ensuring the robustness of statistical conclusions.
What is standard deviation of 155.45?
The standard deviation is 0.
