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How does the outlier affect the mean and median?
The mean is better than the median when there are outliers.
What is the outlier of the mean median and mode?
The median and mode cannot be outliers. For small samples a mode could be an outlier.
When the median and mean are substantially different what does that tell you about the data?
I think it means that our data includes outliers.
What are the uses for median?
Helps you accurately measure the results of a population. It's simply the middle number in a data set, so half of the population is above and half of it is below. It is better than the mean since it is resistant to outliers.
How can the median and mean be different?
You will notice a difference in the data if you have outliers. The mean of a set is going to be heavily influenced by outliers due to the mean being dependant on the quantity of each unit (i.e. 2 cats, 7 cats, 300 cats, etc.) The median, however, is not influenced by outliers because it accounts for the number of units rather than the quantity associated with the units.
In general the median of a data set is more resistant to outliers than the mean.?
Yes, it is.
How does the outlier affect the mean and median?
The mean is better than the median when there are outliers.
Which of the following is least affected if an extreme high outlier is added to your data mean median or standard deviation or ALL?
The median is least affected by an extreme outlier. Mean and standard deviation ARE affected by extreme outliers.
Which descriptive summary measures are considered to be resistant statistics?
Median is a good example of a resistant statistic. It "resists" the pull of outliers. The mean, on the other hand, can change drastically in the presence of an outlier.The interquartile range is a resistant measure of spread.
When is the median more useful than the mean?
When the distribution has outliers. They will skew the mean but will not affect the median.
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. :)
What is the outlier of the mean median and mode?
The median and mode cannot be outliers. For small samples a mode could be an outlier.
If there are outliers then the mean will be greater than the median its true or false?
true
Which of the arithmetic mean median and mode are resistant measures of central tendency?
Of these three, the median is most resistant.
Why calculate for the mean and median in relation to a sample?
Both the mean and median represent the center of a distribution. Calculating the mean is easier, but may be more affected by outliers or extreme values. The median is more robust.
What are the uses for median?
Helps you accurately measure the results of a population. It's simply the middle number in a data set, so half of the population is above and half of it is below. It is better than the mean since it is resistant to outliers.
When the median and mean are substantially different what does that tell you about the data?
I think it means that our data includes outliers.
