Question

1. the weight of point f is 1/4 the weight of point g. find the weighted average.

the weighted average is
give your answer rounded to the nearest tenth or as an improper fraction.

Explanation:

Step1: Define the values and weights

Let the weight of point $F$ be $w_1 = 1$ and the weight of point $G$ be $w_2=4$. The value of point $F$ is $x_1=- 2$ and the value of point $G$ is $x_2 = 6$.

Step2: Use the weighted - average formula

The formula for the weighted average $\bar{x}=\frac{w_1x_1 + w_2x_2}{w_1 + w_2}$. Substitute the values: $\bar{x}=\frac{1\times(-2)+4\times6}{1 + 4}$.

Step3: Calculate the numerator

First, calculate the numerator: $1\times(-2)+4\times6=-2 + 24=22$.

Step4: Calculate the denominator

The denominator is $1 + 4 = 5$.

Step5: Find the weighted average

So, $\bar{x}=\frac{22}{5}=4.4$.

Answer:

$\frac{22}{5}$