Question

Calculate 7 (x-bar) for the data shown, to two decimal placesх1.11.35.19.721.42213.1

Answer 1

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:

`\bar{x}`

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

If this set contains n elements, say

`x=\{x_i,i=1,2,...,n\}`

The value x-bar is the given by

`\bar{x}=(\sum_(i=1)^nx_i)/(n)`

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

`10.53`

This is the answer we were looking for.