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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.
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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 measure of dispersion is used with bimodal distribution?
Central tendency is used with bidmodal distribution. This measure if dispersion is similar to the median of a set of data.?æ
Why is it being called central tendency?
It is called central tendency because it represents the averages. Central tendency has three measurements: # Mean # Mode # Median
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.
Why is average called the measure of central tendency?
Because, whatever the underlying distribution, as more and more samples are taken from ANY population, the average of those samples will have a standard normal distribution whose mean will be their average. The normal (or Gaussian) distribution is symmetric and so its mean lies at the centre of the probability distribution.
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.
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.
For a skewed distribution what is a better indicator of the central tendency?
Mode
Most useful central tendency for badly skewed distribution?
median
What is the relation of the three measures of central tendency to a normal distribution?
Equality.
What are the three measures of central tendency?
The mean and median are two measures of central tendency. In introductory statistics many schools include the mode as another example of central tendency but the mode could well be at the end of a distribution.
What are the Tools used in descriptive statistics?
frequency distribution regression analysis measure of central tendency
Why are mean median mode and range considered measures of central tendency?
Range is NOT a measure of central tendency. In a number of distribution - though by no means all - the mean, median and mode are near the middle of the distribution. That is more likely to be the case with a large number of observations (or experiments).
What measure of dispersion is used with bimodal distribution?
Central tendency is used with bidmodal distribution. This measure if dispersion is similar to the median of a set of data.?æ
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.
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.
Advantages of measures of central tendency?
Benefits of Central Tendency
