Quadstat Output - Arithmetic Mean

Submitted by Anonymous (not verified) on September 2, 2017 - 9:22 PM

Computing the Average

To compute the average, $\bar{x}$, we must sum all the observations in the column X2 and then divide by the number of observations.

First, let us list the observations in column X2. The first ten observations include:
97, 79, 91, 85, 6, 58, 37, 17, 30, 30.

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

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

$\sum\limits_{i=1}^n x_i = \sum\limits_{x=1}^{10}x_i = 97 + 79 + \cdots + 30 = 530.$

Therefore, $\bar{x} = \frac{\sum\limits_{i=1}^n x_i}{n} = \frac{97+79+ \cdots + 30}{10}=53.$

So, $\bar{x} =53$.

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