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What else can I help you with?
Extreme value within a data set?
It is a value which appears not to fit in with the other data elements.
Is there any distinction between an extreme point and an extreme value of a function?
no
Do extreme values affect mean?
Yes, extreme values, also known as outliers, can significantly affect the mean of a data set. Since the mean is calculated by summing all values and dividing by the number of values, a single extreme value can disproportionately skew the result. This is why the mean may not always be the best measure of central tendency for data sets with outliers; alternatives like the median can provide a more accurate representation of the typical value.
Is median affected by extreme values?
No, the median is not affected by extreme values, or outliers, in a data set. The median is the middle value when the data is arranged in order, meaning it remains stable even if the highest or lowest values change significantly. This makes the median a more robust measure of central tendency compared to the mean, which can be skewed by extreme values.
What is an advantage to using the median when examining a set of data?
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.
What is the extreme value in a data set?
median
What is an extreme value within a data set?
Outlier
Since the median is the middle value of a data set it must always be?
Not an extreme value.
An extreme value in a set is called what?
An outlier (mathematics/statistics), or radical value (sociology).
Extreme value within a data set?
It is a value which appears not to fit in with the other data elements.
How do find lower and upper extreme?
To find the lower extreme, you need to identify the smallest value in a data set. To find the upper extreme, you need to identify the largest value in the data set. These values represent the lowest and highest points of the data distribution.
How extreme value affect mean?
An extreme value will drag the mean value towards it.
What is the math definition for lower extreme?
The lower extreme is the lowest number in a set of data* * * * *That is the correct conventional definition. However, for the mathematical definition you may have to allow for the fact that the lower extreme may not actually be attained: it may be an asymptotic value. For example, consider the set of numbers 1, 1/2, 1/4, 1/8 and so on. The sequence gets closer to 0 as you keep going but it is never actually equal to 0. The lower extreme of this infinite set is 0, but that is not an element of the set.
Is there any distinction between an extreme point and an extreme value of a function?
no
Is the range a measure of dispersion that is the least sensitive to extreme value of the data set?
the range is the total number of values your set can take. If you take all the number from 5 to 25. Your range is 5-25.
What does a p value of 0.66 tell us?
A p-value is the probability of obtaining a test statistic as extreme or more extreme than the one actually obtained if the null hypothesis were true. If this p-value is less than the level of significance (usually set by the experimenter as .05 or .01), we reject the null hypothesis. Otherwise, we retain the null hypothesis. Therefore, a p-value of 0.66 tell us not to reject the null hypothesis.
Do extreme values affect mean?
Yes, extreme values, also known as outliers, can significantly affect the mean of a data set. Since the mean is calculated by summing all values and dividing by the number of values, a single extreme value can disproportionately skew the result. This is why the mean may not always be the best measure of central tendency for data sets with outliers; alternatives like the median can provide a more accurate representation of the typical value.
