Question

what is the weighted average of the numbers -5 and 22 with weight 7/4 on the first number and 1/2 on the second number? weighted average = type your answer...

Explanation:

Step1: Calculate the weighted value of the first number

The formula for weighted value is \(value\times weight\). For the first number \(- 5\) with weight \(\frac{7}{4}\), the weighted value is \(-5\times\frac{7}{4}=-\frac{35}{4}=- 8.75\)

Step2: Calculate the weighted value of the second number

For the second number \(22\) with weight \(\frac{1}{2}\), the weighted value is \(22\times\frac{1}{2}=11\)

Step3: Calculate the weighted average

The weighted average is the sum of weighted values. So, \( - 8.75+11 = 2.25=\frac{9}{4}\)

Answer:

\(\frac{9}{4}\)