Quadstat Output - Arithmetic Mean

Submitted by User on September 3, 2017 - 9:30 AM

Computing the Average

To compute the average, $\bar{x}$, we must sum all the observations in the column X3 and then divide by the number of observations.

First, let us list the observations in column X3. The first ten observations include:
3, 28, 76, 45, 57, 82, 37, 58, 24, 38.

We have a total of 10 observation(s). So, $n =10.$

Now, $\bar{x} = \frac{\sum\limits_{i=1}^n x_i}{n}.$

$\sum\limits_{i=1}^n x_i = \sum\limits_{x=1}^{10}x_i = 3 + 28 + \cdots + 38 = 448.$

Therefore, $\bar{x} = \frac{\sum\limits_{i=1}^n x_i}{n} = \frac{3+28+ \cdots + 38}{10}=44.8.$

So, $\bar{x} =44.8$.

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