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Which measures of central tendency are not affected by extremely high values?
Mode and Median
Why median is not a consistent estimator?
Because it is easily influenced by extreme values (i.e. it is not unbiased).
Why it is useful to fiNd the meaN mediaN aNd mode of a set of data?
when there are extreme values in the data
What is the measure of central tendency that is least affected by extreme values?
the variance
HOW are quartiles helpful in describing data?
They are a simple measure of the spread of the data, which is not affected by extreme values.
What measures of central location is affected most by extreme values?
The mean is most affected. Mode and Median are not influenced as much by outliers.
When do you use mean and median?
The mean is used to measure the average of a set of values, especially when the data is normally distributed. The median is used to find the middle value of a dataset when there are extreme values or outliers present, as it is less affected by extreme values.
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.
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.
The measure of central tendency that is most affected by a few large or small numbers is?
The mean is the measure of central tendency that is most affected by a few large or small numbers. The median is more robust for extreme values.
Why is the median more robust for extreme values?
The median is the middle of average of the middle two values from the ordered set of observations. If the extreme values are genuine then they will have no effect on the median. If they are incorrectly measured or recorded data then they may affect the position of the middle of the ordered set of data. However, since there can only be a small number of outliers, their effect on the median will be small.
Which measures of central tendency are not affected by extremely high values?
Mode and Median
Why median is not a consistent estimator?
Because it is easily influenced by extreme values (i.e. it is not unbiased).
Why it is useful to fiNd the meaN mediaN aNd mode of a set of data?
when there are extreme values in the data
Do extreme values affect the median?
No they do not (or at least they have less of a significant impact) and this is the benefit of using the median average over the mean average.
Do extremely high or low scores affect the value of the median?
No, extremely high or low values will not affect the median. Because the median is the middle number of a series of numbers arranged from low to high, extreme values would only serve as the end markers of the values.
Which of three three measures of central tendency is most affected by extreme scores?
Of the mean, median and mode the mean would be most affected.
