Respuesta :

ThTHello there. To solve this question, we'll have to remember some properties about arithmetic mean.

Given a set of values x, the value x-bar, written as:

[tex]\bar{x}[/tex]

Can be determined using the arithmetic mean of the values of the set.

If this set contains n elements, say

[tex]x=\{x_i,i=1,2,...,n\}[/tex]

The value x-bar is the given by

[tex]\bar{x}=\dfrac{\sum_{i=1}^nx_i}{n}[/tex]

That is, we sum all the values and divide it by the number of elements in the set.

In this case, we have 7 values, namely

1.1

1.3

5.1

9.7

21.4

22

13.1

Adding the values, we get:

73,7

Dividing it by 7, we get, approximately

[tex]10.53[/tex]

This is the answer we were looking for.