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Which measure of central tendency The mean median or mode will be most affected by an extremely large or small observation?

Posted on August 4, 2022 by Author

Which measure of central tendency The mean median or mode will be most affected by an extremely large or small observation?

The median is usually preferred in these situations because the value of the mean can be distorted by the outliers. However, it will depend on how influential the outliers are. If they do not significantly distort the mean, using the mean as the measure of central tendency will usually be preferred.

Which measure of central tendency mean median or mode is most affected by outliers?

Mean is the only measure of central tendency that is always affected by an outlier. Mean, the average, is the most popular measure of central tendency.

Which measure of central tendency is most likely to be affected by one or two extreme scores?

So the median is a better measure of the central tendency. Extreme scores strongly affect the mean, but not the median.

Which measure of central tendency would be most affected by a small number of extreme cases?

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median
The median gives the greatest weight to elements in the middle of the ordered data. When there are extreme numbers in the data set (very low or very high numbers), the median is a good choice for a measure of central tendency.

Which is best measure of central tendency?

Mean
Mean is generally considered the best measure of central tendency and the most frequently used one. However, there are some situations where the other measures of central tendency are preferred. There are few extreme scores in the distribution. Some scores have undetermined values.

Which of the following are measures of central tendency?

There are three main measures of central tendency: the mode, the median and the mean. Each of these measures describes a different indication of the typical or central value in the distribution.

Which measure of central tendency best represents the data?

The mean is the most frequently used measure of central tendency because it uses all values in the data set to give you an average. For data from skewed distributions, the median is better than the mean because it isn’t influenced by extremely large values.

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What is the most sensitive measure of central tendency?

The mean
The mean is a sensitive measure (or sensitive statistic) and the median is a resistant measure (or resistant statistic).

Why median is best measure of central tendency?

The median is the most informative measure of central tendency for skewed distributions or distributions with outliers. Because the median only uses one or two values, it’s unaffected by extreme outliers or non-symmetric distributions of scores. In contrast, the mean and mode can vary in skewed distributions.

Which is the best central tendency measure?

Mean is generally considered the best measure of central tendency and the most frequently used one. However, there are some situations where the other measures of central tendency are preferred. There are few extreme scores in the distribution.

Which is the best measure of central tendency mean median or mode and why?

Which measure of central tendency is considered the most precise?

Mean is generally considered the best measure of central tendency and the most frequently used one. However, there are some situations where the other measures of central tendency are preferred. There are few extreme scores in the distribution.

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