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Disadvantages of the mean in statistics?
the mean is affected by outliers
Is absolute mean deviation affected by outliers?
Yes.
Is the mean a better measure of location when there are no outliers?
Yes, the mean is generally a better measure of central tendency when there are no outliers, as it takes into account all values in the dataset and provides a mathematically precise average. In the absence of outliers, the mean reflects the true center of the data distribution effectively. However, in the presence of outliers, the median might be preferred since it is less affected by extreme values.
If a data set has many outliers which measure of central tendency would be the BEST to use?
In a data set with many outliers, the median is the best measure of central tendency to use. Unlike the mean, which can be significantly affected by extreme values, the median provides a more accurate representation of the central location of the data. It effectively divides the data into two equal halves, making it robust against outliers. Therefore, the median offers a clearer understanding of the typical value in such cases.
What is the least resistant to outliers mean median or mode?
The mean is the least resistant to outliers because it is influenced by every value in the dataset, including extreme values. In contrast, the median, which represents the middle value, is less affected by outliers, as it depends only on the order of the data. The mode, being the most frequently occurring value, is also generally unaffected by outliers. Thus, in terms of sensitivity to extreme values, the mean is the most vulnerable.
Disadvantages of the mean in statistics?
the mean is affected by outliers
Is absolute mean deviation affected by outliers?
Yes.
What measures of central location is affected most by extreme values?
The mean is most affected. Mode and Median are not influenced as much by outliers.
Can there be 2 outliers in a set of data?
There is no limit to the number of outliers there can be in a set of data.
Is the mean a better measure of location when there are no outliers?
Yes, the mean is generally a better measure of central tendency when there are no outliers, as it takes into account all values in the dataset and provides a mathematically precise average. In the absence of outliers, the mean reflects the true center of the data distribution effectively. However, in the presence of outliers, the median might be preferred since it is less affected by extreme values.
In general the median of a data set is more resistant to outliers than the mean.?
Yes, it is.
Which of the following is least affected if an extreme high outlier is added to your data mean median or standard deviation or ALL?
The median is least affected by an extreme outlier. Mean and standard deviation ARE affected by extreme outliers.
How can you determine which measure of central tendency is best for the set if data?
Mean- If there are no outliers. A really low number or really high number will mess up the mean. Median- If there are outliers. The outliers will not mess up the median. Mode- If the most of one number is centrally located in the data. :)
What is the least resistant to outliers mean median or mode?
The mean is the least resistant to outliers because it is influenced by every value in the dataset, including extreme values. In contrast, the median, which represents the middle value, is less affected by outliers, as it depends only on the order of the data. The mode, being the most frequently occurring value, is also generally unaffected by outliers. Thus, in terms of sensitivity to extreme values, the mean is the most vulnerable.
What does advantages and disadvantages mean?
MEANUse the mean to describe the middle of a set of data that does not have an outlier.Advantages:• Most popular measure in fields such as business, engineering and computer science.• It is unique - there is only one answer.• Useful when comparing sets of data.Disadvantages:• Affected by extreme values (outliers)
Why do they invented the stem and the leaf plot?
to organize your data set and figure out mean, median, mode, range, and outliers.
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.
