The most stable measure of central tendency is A) The Mean B) The Median C) The Mode D) None of These
Hint: In order to solve such problems students must use the basic concept and definition of statistics. The problem can be solved by doing a comparative study on all the given options.
Complete step-by-step answer: A measure of central tendency is a single value that attempts to describe a set of data by identifying the central position within that set of data. As such, measures of central tendency are sometimes called measures of central location. Mean is the average of given sets of numbers. You should add the numbers then divide by the number of the numbers. Median is the number in the middle when you order the numbers in an ascending order. If there are two numbers in the middle, you should take the average of those two numbers. Mode is the number which is repeated the most in the set. From the above definitions we have seen that mode considers only the most repeated number. Median considers the middle most numbers. But mean is the average of all the numbers in the set. As mean uses all the observations in a given distribution. Hence, mean is considered as the most stable central tendency. So, option A is the correct option.
Note: The mean, median and mode are all valid measures of central tendency, but under different conditions, some measures of central tendency become more appropriate to use than others. The mean (often called the average) is most likely the measure of central tendency that you are most familiar with, but there are others, such as the median and the mode.
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