Of the mean, median and mode the mean would be most affected.
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.
The mean is most affected. Mode and Median are not influenced as much by outliers.
When there aren't extreme values (outliers)
Properties of a good measure of central tendency are:-It should be rigidly defined.It should include all observations.it should be simple to understand and easy to calculate.it should be capable of further mathematical treatment.It should be least affected by extreme observations.it should possess sampling stability.
The median.
mean
the variance
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.
The mean is most affected. Mode and Median are not influenced as much by outliers.
Measures of the general value are a common need. Average, Median, and Mode are the three commonest.Average is the arithmetic average of all the values.Median is the actual measurement which is midwaybetween the extreme values, and is often closest to the average.Mode is the commonest value.Other indicators of central tendency, may ignore all value beyond say, three standard deviations, and thus ignore the contribution by the extreme, and uncommon, values.
When there aren't extreme values (outliers)
Properties of a good measure of central tendency are:-It should be rigidly defined.It should include all observations.it should be simple to understand and easy to calculate.it should be capable of further mathematical treatment.It should be least affected by extreme observations.it should possess sampling stability.
The median.
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.
The median or mode should be used instead of the mean in distributions with extreme outliers. In such cases, the mean can be a misleading measure of central tendency and the median value or the mode value are typically more accurate measures.
The duration of Extreme Measures is 1.97 hours.
Answer with an exampleIf you have a data series like: 1,2,2,3 What is the mean, median and mode of this thing:Mean= 2Median = 2Mode = 2Now if you have 1,2,2,3,1000Then we gotta have three measures asMode remains = 2Median shifts slightly toward threeMean becomes 201.6So you can see that three measures are required to capture the tendency of a data set in a more complete fashion.Although the mean does have this problem of being distorted by outliers (extreme values), it is the best measure of central tendency if more sophisticated analyses are required. This is because the properties of the mean, itself, are better understood. This means there is a wide range of powerful statistical techniques that can be applied to data using the mean.