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Common method is to find the mean and the standard deviation
of the data set and then call anything that falls more
than three standard deviations away from the mean an outlier. That
is, x is an outlier if
abs(x - mean)
--------------- > 3
std dev
This is usually called a z-test in statistics books, and the ratio
abs(x-mean)/(std dev) is abbreviated z.
Source: http://mathforum.org/library/drmath/view/52720.html
What else can I help you with?
What does the color of the oddball indicate in science?
In science, the color of an "oddball" often signifies a deviation from the norm or a unique characteristic within a dataset or experiment. This can be used in various contexts, such as highlighting outliers in statistical analysis or drawing attention to anomalies in experimental results. The specific color may be chosen based on conventions or to enhance visibility, aiding in the identification and analysis of these unusual elements.
Is an IQ Score of 113 a normal average score for a 14 year old Female?
Yes. IQs are normalized by age. The average IQ is 100 with a standard deviation of 15 by definition. So, a 113 falls right at the top of the average range.
What is standardized variables?
A variable that has been transformed by multiplication of all scores by a constant and/or by the addition of a constant to all scores. Often these constants are selected so that the transformed scores have a mean of zero and a variance (and standard deviation) of 1.0.
Why do we repeat lab results?
In order to check that the result is correct and reliable. For measurements, it establishes the range of results we can expect and highlights any outliers.
What is the term used to describe the spread of values of a variable?
The term used to describe the spread of values of a variable is "dispersion." Dispersion indicates how much the values in a dataset differ from the average or mean value. Common measures of dispersion include range, variance, and standard deviation, which provide insights into the variability and distribution of the data.
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.
If quartile deviation is 24. find mean deviation and standard deviation?
Information is not sufficient to find mean deviation and standard deviation.
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.
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.
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.
Why we calculate standard deviation and quartile deviation?
we calculate standard deviation to find the avg of the difference of all values from mean.,
Is variance the square root of standard deviation?
No, you have it backwards, the standard deviation is the square root of the variance, so the variance is the standard deviation squared. Usually you find the variance first, as it is the average sum of squares of the distribution, and then find the standard deviation by squaring it.
Is absolute mean deviation affected by outliers?
Yes.
How do you find the sample deviation?
You're an idiot. It's standard deviation. Google that for your answer.
How do you find graph median by using standard deviation?
You cannot because the median of a distribution is not related to its standard deviation.
