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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.
What are the advantages of mode?
extreme values don't affect the mode
When is the mean used as a measure of central tendency?
When there aren't extreme values (outliers)
What is the median in a set of data?
The middle value so half the data is above it and half the data is below it. It is often used because extreme values tend to affect it less than other measures of central tendency. If you have an even number of data points, the median is the mean of those two points. ( So you add the two values and divided by two)
What data that does not fit well with the rest of a data set.?
They are called extreme values or outliers.
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.
Which measure of central tendency is most influenced by outliers?
The mean is the measure of central tendency most influenced by outliers. Since it is calculated by summing all values and dividing by the number of values, extreme values can significantly skew the result. In contrast, the median and mode are less affected by outliers, making them more robust measures in such situations.
Why median is not a consistent estimator?
Because it is easily influenced by extreme values (i.e. it is not unbiased).
The measure of location that is the most likely to be influenced by extreme values in the data set is the range?
mean
What is a summary of values by IV Mallari?
values is values
What numerical summary cannot be negative?
The numerical summary that cannot be negative is the mean (average) of a dataset. While individual data points can be negative, the mean represents the central tendency of the values and is computed as the sum of all values divided by the count of those values. Additionally, measures like count, total, and standard deviation are also inherently non-negative.
Which variation is very sensitive to extreme values?
Any variation is very sensitive to extreme values!
Importance of measures of central tendency?
Measures of the general value are a common need. Average, Median, and Mode are the three commonest.Average is the arithmetic average of all the values.Median is the actual measurement which is midwaybetween the extreme values, and is often closest to the average.Mode is the commonest value.Other indicators of central tendency, may ignore all value beyond say, three standard deviations, and thus ignore the contribution by the extreme, and uncommon, values.
What is the meaning of sensible values?
Values that are commonly accepted and are not extreme in any way.
Can extreme values vary greatly from the central group of data values?
yes
How do the mean and median compareas measures of center?
The mean is the arithmetic average of a set of values, while the median is the middle value when the data is ordered. In symmetrical distributions, the mean and median are typically close or equal, but in skewed distributions, the mean can be influenced by extreme values, making it higher or lower than the median. Thus, the median is often preferred as a measure of center for skewed data, as it provides a better representation of the typical value without being affected by outliers.
Which is affected more by the outlier the range or the interquartile range?
The range is more affected by outliers than the interquartile range (IQR). This is because the range is calculated as the difference between the maximum and minimum values in a dataset, meaning a single outlier can significantly alter this value. In contrast, the IQR measures the spread of the middle 50% of the data, focusing on the first and third quartiles, thus providing a more robust measure of central tendency that is less influenced by extreme values.
