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How can you determine which measure of central tendency is best for the set if data?
Mean- If there are no outliers. A really low number or really high number will mess up the mean. Median- If there are outliers. The outliers will not mess up the median. Mode- If the most of one number is centrally located in the data. :)
How can you use a z score to determine outliers?
Best to use a histogram i think! z scores can probably be used too however they seem more a method of how to transform outliers in workable scores.
Measurements that fall beyond three standard deviations from the mean?
I believe outliers is the best answer to this question. The previous answer was average, which is the mean.
Is the best measure of central tendency always the mean?
Its the one most commonly used but outliers can seriously distort the mean.
Under what conditions might you prefer to use the median rather than the mean as the best measure of central tendency?
the median is perferred when the data is strongly skewed or has outliers. =)
Disadvantages of the mean in statistics?
the mean is affected by outliers
What is most sensitive to outliers in statistics?
Mean.
Is absolute mean deviation affected by outliers?
Yes.
What are the limits on outliers?
there are no limits to outliers there are no limits to outliers
What is the effect of extreme value on mean?
Outliers pull the mean in the direction of the outlier.
How does the outlier affect the mean and median?
The mean is better than the median when there are outliers.
How do you find the best measure of central tendency when using outliers?
A weighted mean is probably best. Certainly better than a median which throws away information from most of the observations.
