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Sagot :
Given:
The set of data contains numerical elements between 2 and 14
Outlier = 14
Let's determine the measure of central tendency that must change if the outlier is removed from the data.
If the outlier is removed, the maximum data value will now be a value less than 14.
The formula to find the range is:
Range = Maximum data value - minimum data value
Therefore, since the maximum data value is now smaller after the outlier is removed, the range will be affected.
The mean is the average of the data set.
If the greatest data value is removed, the mean must also be affected.
The mode is the data value which appears the most, by removing the outlier we cannot tell if the mode will change since we do not have all data values.
The median is the middle data value, by removing the outlier we cannot tell if the median will change since we do not have all data values.
Therefore, the measure if central tendency that must change if the outlier of 14 is removed are:
Mean and Range.
ANSWER:
• Mean
• Range
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