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Mean value - Statistical Aspects of Variability
The arithmetical mean value (µ, mu) of the measurements can be readily calculated, as follows. Let the class mid- point values be denoted as x1, x2, x3, etc, and the frequency in each class as f1, f2, f3, etc. Let N be the total number of measurements (200 in this case). Select a convenient value (V) close to the expected mean value, say 505 in this case. Calculate the arithmetical mean value (µ) as:
µ = (f1 (x1-V) +f2(x2-V) + f3 (x3-V)... /N) + V
In this case
µ= (1(-15) +10(-10) +52(-5) + 63(0) + 56(5) + 16(10) +2(15)/200) + 505
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