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As the sample size increases the effect of an extreme value on the sample mean becomes smaller.?
yes
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 are the advantages of mode?
extreme values don't affect the mode
Since the median is the middle value of a data set it must always be?
Not an extreme value.
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 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.
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.
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.
Is there any distinction between an extreme point and an extreme value of a function?
no
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.
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.
