Which measure of central tendency would be the best "average" to describe a skewed distribution? Why?
Answer:
median
Explanation:
If we look at the question, we simply think that it will be mean, because of the word "average". But, in a skewed distribution, the distribution's tail end is much longer than the other one. Meaning to say if we have a normal curve, where the line is rising, then there will be a curve at the middle, that will go straight down. Here at skewed distribution, the left or right will be longer to the opposite.
It is difficult to use "mean" to describe skewed distribution. Since this distribution has longer tail end, hence, median is the answer.
For normally distributed data, all three measures of central tendency will give you the same answer so they can all be used. In skewed distributions, the median is the best measure because it is unaffected by extreme outliers or non-symmetric distributions of scores. The mean and mode can vary in skewed distributions.
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Question :
Which measure of central tendency would be the best "average" to describe a skewed distribution? Why?
Answer:
median
Explanation:
If we look at the question, we simply think that it will be mean, because of the word "average". But, in a skewed distribution, the distribution's tail end is much longer than the other one. Meaning to say if we have a normal curve, where the line is rising, then there will be a curve at the middle, that will go straight down. Here at skewed distribution, the left or right will be longer to the opposite.
It is difficult to use "mean" to describe skewed distribution. Since this distribution has longer tail end, hence, median is the answer.
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Answer:
median
For normally distributed data, all three measures of central tendency will give you the same answer so they can all be used. In skewed distributions, the median is the best measure because it is unaffected by extreme outliers or non-symmetric distributions of scores. The mean and mode can vary in skewed distributions.