Question

1. analyze what is the average of 1.2, 1.3, and 1.7?

Explanation:

Step1: Find the sum of the numbers

The sum of \(1.2\), \(1.3\), and \(1.7\) is \(1.2 + 1.3+1.7\).
Using the associative property of addition \((a + b)+c=a+(b + c)\), we can rewrite it as \(1.2+(1.3 + 1.7)=1.2 + 3=4.2\).

Step2: Calculate the average

The formula for the average (arithmetic mean) of a set of numbers \(x_1,x_2,\cdots,x_n\) is \(\bar{x}=\frac{x_1 + x_2+\cdots+x_n}{n}\). Here \(n = 3\) (since there are three numbers \(1.2\), \(1.3\), and \(1.7\)), and the sum \(S=4.2\).
So the average \(\bar{x}=\frac{4.2}{3}\).
Dividing \(4.2\) by \(3\), we get \(4.2\div3 = 1.4\).

Answer:

\(1.4\)