An extreme value will drag the mean value towards it.
yes
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.
Not an extreme value.
extreme values don't affect the mode
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.
median
Yes, an observation that is abnormally larger or smaller than the rest of the data can significantly affect the mean, as it will pull the average towards that extreme value. However, the median and mode are less influenced by outliers, as they are not as sensitive to extreme values. The median is the middle value when the data is arranged in order, so outliers have less impact on its value. The mode is the most frequently occurring value, so unless the outlier is the most common value, it will not affect the mode.
Outliers pull the mean in the direction of the outlier.
Extreme high or low values in a data set, known as outliers, can significantly skew the mean. For instance, a few very high values can inflate the mean, making it higher than the central tendency of the majority of the data. Conversely, extreme low values can drag the mean down, misrepresenting the typical value of the dataset. This sensitivity makes the mean less reliable as a measure of central tendency when outliers are present.
yes
That would be outlier.
An outlier can significantly impact the median by pulling it towards the extreme value of the outlier, especially when the dataset is small. This can distort the central tendency measure that the median represents and provide a misleading representation of the typical value in the dataset.
no
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.
median
The probability of observing a z value equal to or more extreme than 1.50 is 0.1336
the maximum or minimum value of a continuous function on a set.