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Q: What central tendency is robust if an outlier is present?
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Which measure of central tendency is robust when outliers are present?

mean


What measure of central tendency is robust when outliers are present?

Meanlol


Are heteroscedasticity robust standard errors consistent?

The answer depends on consistent with WHAT!


What are the advantages and disadvantages of arithmetic mean?

Advantages:Linear unbiased estimate of central tendencyThe arithmetic mean has a Gaussian (Normal) distribution which is well studiedMany robust methods to test for equality of (difference between) meansDisadvantages Cannot be used for qualitative dataMore difficult to calculate than some other measures of central tendencyMay be affected by outliersMay not be a value that can be realised: for example, the mean number of cars per household on my street is 1.7, but nobody has or can have 1.7 cars!


How do you find the outlier number?

Find the inter quartile range, which is IQR = Q3 - Q1, where Q3 is the third quartile and Q1 is the first quartile. Then find these two numbers: a) Q1 - 1.5*IQR b) Q3 + 1.5*IQR Any observation that is below a) or above b) can be considered an outlier. Chadwick, quartiles are considered robust, meaning that they are not highly effected by outliers. This is because it takes location into account, not the values. Let's look at your data set (sorted). 2 3 6 9 13 18 21 106 position of Q1 = (8+1)/4 = 2.25 Q1 = 0.75(3)+0.25(6) = 3.75 position of Q2 = (8+1)/2 = 4.5 Q2 = (9+13)/2 = 11 position of Q3 = 3(8+1)/4 = 6.75 Q3 = 0.25(18)+0.75(21) = 20.25 Notice that none of these actually use the value 106. Let's continue. So IQR = Q3-Q1 = 20.25-3.75 = 16.5 Q1-1.5*IQR = 3.75-1.5*16.5 = -21 Q3+1.5*IQR = 20.25+1.5*16.5 = 45 No numbers are below -21, but 106 is above 45, so it can be considered an outlier.

Related questions

Which measure of central tendency is robust when outliers are present?

mean


What measure of central tendency is robust when outliers are present?

Meanlol


The measure of central tendency that is most affected by a few large or small numbers is?

The mean is the measure of central tendency that is most affected by a few large or small numbers. The median is more robust for extreme values.


What is the appropriate measure of central tendency for age?

The appropriate measure of central tendency for age is the median. This is because age is a continuous variable and can have outliers or extreme values, which can skew the mean. The median provides a more robust estimate of the center of the distribution.


Why is arithmetic mean considered as the best measure of central tendency?

The arithmatic mean is not a best measure for central tendency.. It is because any outliers in the dataset would affect its value thus it is considered not a robust measure.. The mode or median however would be better to measure central tendency since outliers wont affect it value.. Consider this example : Arithmatic mean dan mode from 1, 5, 5, 9 is 5.. If we add 30 to the dataset then the arithmatic mean will be 10 but the mode will still same.. Mode is more robust than arithmatic mean..


Is robust a verb or noun?

The word robust is an adjective, a word to describe a noun as strong, healthy, or successful: robust health, a robust economy, a robust business.The noun form for the adjective is robustness.


When was Robust Redhorse created?

Robust Redhorse was created in 1870.


Why c is a robust languauge?

By design. Of course it depends on what you mean by robust.


What is robust system protection tools?

robust system protection tool


What is a sentence with robust?

A robust round of applause came up from the crowd when the hometown hero entered the arena.


When was A Robust Romeo created?

A Robust Romeo was created on 1914-02-12.


When was Robust White-eye created?

Robust White-eye was created in 1855.