True or False. The mean is the measure of central tendency most likely to be affected by an extreme value.
Solution:
We know central measures include
Mean is the only measure of central tendency which depends on all the values as it is derived from the sum of the values divided by the number of observations.
Median depends only on one or two middle most values.
When the number of observations is odd, the median depends on the middle most value given by the value corresponding to (n+1)/2 term.
Incase of even numbers, it depends on the average of two middle values given by (n + 1) / 2 and (n + 2) / 2 terms.
Mode depends only on the values which are occurring for the maximum number of times.
Thus, the mean will typically be strongly influenced by extreme values than the median.
Therefore, the mean is the measure of central tendency most likely to be affected by an extreme value is true.
True or False. The mean is the measure of central tendency most likely to be affected by an extreme value.
Summary:
The mean is the measure of central tendency most likely to be affected by an extreme value is true.
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