Calculating X Bar (X̄): The Mean Value Of A Data Set

x bar

Sample mean ( measures the center )

X bar (x̄) is a statistical symbol that represents the average or mean value of a data set. It is calculated by summing up all the data points in the set, and dividing the total by the number of data points. The formula for calculating x̄ is:

x̄ = (Σx) / n

where x is the value of each data point, Σx is the sum of all data points, and n is the number of data points.

For example, if we have a data set of test scores for five students: 80, 85, 90, 95, and 100, we can calculate the x̄ value as follows:

x̄ = (80+85+90+95+100) / 5
x̄ = 450 / 5
x̄ = 90

Therefore, the x̄ value for this data set is 90, indicating that the average score in the test is 90.

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