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# How Do We Examine Central Tendency in Continuous Variables?

### How Do We Examine Central Tendency in Continuous Variables?

The arithmetic mean or median is used to estimate the central tendency or typical response of continuous variables. The mean is calculated as the sum of all responses divided by the number of responses: mean of$\overline{x}=\frac{\sum X}{n}$. The median is defined as the 50th percentile of the distribution of the variable from the lowest value to the highest value. If the distribution is broken up into four quarters (called quartiles) with 25% of the distribution in each, the median is at the end of the second quartile. It is the very central response. When the distribution of the continuous variable is perfectly symmetrical, the median and mean will be virtually identical.

We call this symmetrical distribution ...