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When is mode the better measure?
The mode is the better measure of central tendency when dealing with categorical data, where we want to identify the most common category. It is also useful in skewed distributions or when there are outliers, as it is not affected by extreme values. Additionally, the mode can be the only measure of central tendency applicable for nominal data, where mean and median cannot be computed.
Which measure of central tendency is most influenced by outliers?
The mean is the measure of central tendency most influenced by outliers. Since it is calculated by summing all values and dividing by the number of values, extreme values can significantly skew the result. In contrast, the median and mode are less affected by outliers, making them more robust measures in such situations.
Should the mean not be reported as the primary measure of central tendency when a distribution contains a lot of deviant outcomes?
Yes, the mean should not be reported as the primary measure of central tendency when a distribution contains a lot of deviant outcomes or outliers. This is because the mean can be heavily influenced by extreme values, leading to a distorted representation of the data. Instead, the median is often a better measure in such cases, as it provides a more accurate reflection of the central tendency by being less affected by outliers.
Is median affected by extreme values?
No, the median is not affected by extreme values, or outliers, in a data set. The median is the middle value when the data is arranged in order, meaning it remains stable even if the highest or lowest values change significantly. This makes the median a more robust measure of central tendency compared to the mean, which can be skewed by extreme values.
What is dispersion method?
It is the measure of central tendency.
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.
When is the mean used as a measure of central tendency?
When there aren't extreme values (outliers)
What are the characteristics of a good measure of central tendency?
Properties of a good measure of central tendency are:-It should be rigidly defined.It should include all observations.it should be simple to understand and easy to calculate.it should be capable of further mathematical treatment.It should be least affected by extreme observations.it should possess sampling stability.
Which measure of central tendency is most influenced by outliers?
The mean is the measure of central tendency most influenced by outliers. Since it is calculated by summing all values and dividing by the number of values, extreme values can significantly skew the result. In contrast, the median and mode are less affected by outliers, making them more robust measures in such situations.
Should the mean not be reported as the primary measure of central tendency when a distribution contains a lot of deviant outcomes?
Yes, the mean should not be reported as the primary measure of central tendency when a distribution contains a lot of deviant outcomes or outliers. This is because the mean can be heavily influenced by extreme values, leading to a distorted representation of the data. Instead, the median is often a better measure in such cases, as it provides a more accurate reflection of the central tendency by being less affected by outliers.
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.
Is median affected by extreme values?
No, the median is not affected by extreme values, or outliers, in a data set. The median is the middle value when the data is arranged in order, meaning it remains stable even if the highest or lowest values change significantly. This makes the median a more robust measure of central tendency compared to the mean, which can be skewed by extreme values.
Which measure of central tendency is most affected by adding a really large or small number to a data set?
Mean
What is a good measure of central tendency if a data set contains extreme values that may be the result of incorrect measurement?
The median.
Which measure of central tendency will the sum of the deviations always be zero?
For which measure of central tendency will the sum of the deviations always be zero?
Is range a measure of central tendency?
no it is a measure of dispersion.
Why is range not a measure of central tendency?
Measures of central tendency are averages. Range , the difference between the maximum and the minimum, is a measure of dispersion or variation.
