Calculating the Sample Mean (x bar): Formula and Example

x bar

The term “x bar” refers to the sample mean or the average of a set of values

The term “x bar” refers to the sample mean or the average of a set of values. It is denoted by placing a bar or a line over the variable x, representing the mean value of x.

The formula to calculate the sample mean or x bar is:

x bar = (x1 + x2 + x3 + … + xn) / n

Where x1, x2, x3, …, xn are the individual values in the dataset, and n is the total number of values.

To clarify further, let’s consider an example:

Suppose we have the following dataset: 5, 7, 9, 4, 6.

To find x bar, we add up all the values: 5 + 7 + 9 + 4 + 6 = 31. And since there are 5 values in the dataset, n = 5.

Therefore, x bar = 31 / 5 = 6.2.

So, in this case, x bar is equal to 6.2, which represents the average of the numbers in the dataset.

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