What is the difference between the x-bar and median of a set of sample data? The x-bar, also known as the arithmetic mean or average, is a measure of the mathematical center of sample data and will represent the central tendency of that data. Mean or x-bar = 1174 pieces Frequently Asked Questions (FAQ) about x-bar What does the x-bar measure in a data set? It is just a matter of adding up the 30 daily data points and dividing by the number of data points which was 30. Below is the sample data for 30 days of production and the calculation for the x-bar or average number of pieces produced per day. ![]() He asked the local Six Sigma Green Belt to help collect the data and do the calculations. The Manufacturing Supervisor wanted to know the average pieces produced per day on his machine. Beware that the average of a data set can be skewed by an outlier on the high or low side. This will be represented by the following formula:īut there is a caveat for using the x-bar as a measure of central tendency. To calculate the x-bar or sample mean, you would sum all the data points in the sample and then divide by the number of data points. A horizontal bar over a letter indicates the letter represents the average or mean of whatever the variable represents. In statistics, the Latin small letter x is used to represent a variable in a set of sample data. Let’s take a closer look at the mean or x-bar. One is the mean or x-bar, the others are the median and mode. ![]() There are three measures of central tendency for data.
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