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Each of these measures of central tendency has its own advantages and disadvantages. Different measures are best in different circumstances.

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Q: Does mean median or mode best describe a data set?
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When is the mean not a valid statistic to describe a set of data?

The population data may be skewed and thus the mean is not a valid statistic. If mean > median, the data will be skewed to the right. If median > mean, the data is skewed to the left.


Can you use mean median mode to describe numerical data?

You can use them to describe the central tendency of the data but no more than that.


The three characteristics that describe a set of numerical data are?

mode, mean and median


When might you want to use the median to describe the center of a data set instead of then mean?

You would use the median if the data were very skewed, with extreme values.


What is a single number used to describe a set of data mean median mode?

2,5,4,5


Advantages and disadvantages of median in statistics?

The median is advantageous because it is not influenced by extreme values, making it a robust measure of central tendency for skewed data sets. It is also easy to interpret and calculate. However, the median may not accurately represent the true center of a dataset if the data is heavily skewed or if there are outliers present. Additionally, the median may not be as efficient as the mean for certain statistical calculations due to its lack of sensitivity to all data points.


What measure of central tendency may not exist for all numeric data sets?

Measurement Scale Best measure of the 'middle' Numerical mode Ordinal Median Interval Symmetrical data- mean skewed data median Ratio Symmetrical data- Mean skewed data median


What measure of center best represents data?

The answer depends on the type of data. The mean or median are useless if the data are qualitative (categoric): only the mode is any use. The median is better than the mean is the data are very skewed.


Advantages and disadvantages of mean in statistics?

MEDIANUse the median to describe the middle of a set of data that does have an outlier.Advantages:• Extreme values (outliers) do not affect the median as strongly as they do the mean.• Useful when comparing sets of data.• It is unique - there is only one answer.Disadvantages:• Not as popular as mean.


What does mean mode and median have in common?

They all describe data set or data sets,hey tell you how far apart they are from each other.


Does all data have a mean median or mode?

No, not all data sets have a mode but all data sets have a mean and median.


Explain why the mean does not best represent the data?

well because in the mean you have to add them and its different from the median and the mode