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Is the mean not a good indicator of central tendency of skewed distribution?
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For a skewed distribution what is a better indicator of the central tendency?
Mode
When is finding the average not useful?
There is no meaningful average wen data are categorical (qualitative). Also, the arithmetic mean is not a good measure of central tendency when the data distribution is skewed.
If a distribution is badly skewed researchers are more likely than usual to prefer the as a measure of central tendency?
This would be the average. When the numbers are all over the place, it is difficult to use them to come to conclusions.
Which measure of central tendency is more representative of the typical oberservation if the graph of the data is skewed to the right?
mode
Why does a binomial distribution become more skewed as n increases?
As n increases, the distribution becomes more normal per the central limit theorem.
For a skewed distribution what is a better indicator of the central tendency?
Mode
Is median better indicator of central tendency of skewed distribution?
Yes. Central tendency is the way data clusters around a value. Even if the distribution of the value is skewed, the median would be the best indicator of central tendency because of the way the data is clustered.
What is the smallest measure of central tendency in a positively skewed distribution?
If the distribution is positively skewed distribution, the mean will always be the highest estimate of central tendency and the mode will always be the lowest estimate of central tendency. This is true if we assume the distribution has a single mode.
Most useful central tendency for badly skewed distribution?
median
Is Mean is more sensitive to skewness than the median?
If the distribution is positively skewed , then the mean will always be the highest estimate of central tendency and the mode will always be the lowest estimate of central tendency (If it is a uni-modal distribution). If the distribution is negatively skewed then mean will always be the lowest estimate of central tendency and the mode will be the highest estimate of central tendency. In both positive and negative skewed distribution the median will always be between the mean and the mode. If a distribution is less symmetrical and more skewed, you are better of using the median over the mean.
Which measure of central tendency best describes the data set without an outlier?
The mean may be a good measure but not if the data distribution is very skewed.
When is finding the average not useful?
There is no meaningful average wen data are categorical (qualitative). Also, the arithmetic mean is not a good measure of central tendency when the data distribution is skewed.
If a distribution is badly skewed researchers are more likely than usual to prefer the as a measure of central tendency?
This would be the average. When the numbers are all over the place, it is difficult to use them to come to conclusions.
What are the characteristics of mean as a measure of central tendency?
One of the characteristics of mean when measuring central tendency is that when there are positively skewed distributions, the mean is always greater than the median. Another characteristic is that when there are negatively skewed distributions, the mean is always less than the median.
Which measure of central tendency is more representative of the typical oberservation if the graph of the data is skewed to the right?
mode
When is data negatively or positively skewed?
i) Since Mean<Median the distribution is negatively skewed ii) Since Mean>Median the distribution is positively skewed iii) Median>Mode the distribution is positively skewed iv) Median<Mode the distribution is negatively skewed
How is the choice made between mean and median to describe the typical value related to the shape of the data distribution?
Either can be used for symmetrical distributions. For skewed data, the median may be more a appropriate measure of the central tendency - the "average".
