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Is there a measure of central location that the sum of deviations of each value will always be zero?
yes is it the median?
Which measure of central location will the sum of the deviations of each value from the data's average always be zero?
the mean
What is the purpose of central tendency measures?
It is a measure of the middle or central value of a variable of interest. There are different measures of central tendency and their purposes are not exactly the same. However, the basic principle is that the observed values of the variable are more likely to be near the central tendency value than far from them. Some central tendency values cannot ever be observed. A normal number cube, for example, has a mean value of 3.5 but you cannot possibly throw a 3.5!
Which measure of central location is found by arranging the data from smallest to largest and selecting the middle value?
median
What are the benefits of measures of central tendency?
Central TendencyIn central tendency the large group of data is grouped into a single value for effective business decision making.Three common measures of central tendency are the mean, median and the mode. They are measures in that they tell how how far any given value is from the center of a set of data. For example, the mean is commonly known as the average. Lets say you have the test scores, 25%, 50% , 75% and 100% You wonder how your 50% is compared to the mean? Since the mean is 62.5, you performed "below average." So that measure of central tendency measured how far you were from average. The others do the same thing.
