680, 683, 685, 696, 703, 705, 714, 715, 722, 726, 726, 727, 728, 729, 730, 731, 732, 749, 754, 759, 760, 769, 769, 770, 772 mean
You asked:
Find the arithmetic mean of the following data: \(680, 683, 685, 696, 703, 705, 714, 715, 722, 726, 726, 727, 728, 729, 730, 731, 732, 749, 754, 759, 760, 769, 769, 770, 772\)
MathBot Answer:
The arithmetic mean (often referred to as the average, arithmetic average, or the mean) is a value indicating the typical value of the elements in a given data set. It is computed by summing the numbers in a data set and dividing that number by the amount of numbers in the set.\[\overline{x} = \frac{1}{n}\sum_{i=1}^{n}{x_i}\] where \(x_i\) represents the individual values and \(n\) represents the number of values in the data set.
The arithmetic mean of \(680, 683, 685, 696, 703,...\) is \(\frac{18234}{25} = 729.36\).