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An extreme value will drag the mean value towards it.

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7y ago

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Which of measure of location is affect most by extreme value?

median


When an observation in a data is abnormally more than and less than the remaining observations in the data does it affect Mean Median Mode?

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.


What is the effect of extreme value on mean?

Outliers pull the mean in the direction of the outlier.


What is the Extreme high or low values in a data set which affect the mean?

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.


As the sample size increases the effect of an extreme value on the sample mean becomes smaller.?

yes


What is the term for an exceptional value that can dramatically affect the mean?

That would be outlier.


How does the outlier affect the median?

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.


Is there any distinction between an extreme point and an extreme value of a function?

no


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.


What is the extreme value in a data set?

median


Find a p-value given z and the population mean Find the P-value in a test of the claim that a population mean is equal to 100 given that the test statistic is z equals 1.50?

The probability of observing a z value equal to or more extreme than 1.50 is 0.1336


What is an extreme value in a set?

the maximum or minimum value of a continuous function on a set.