Question

Find the weighted mean of the data.

1.
Source
Homework
Midterm
Project
Speech
Final Exam
Score, x
60
75
80
70
62
Weight,w
5%
35%
20%
15%
25%

Answer 1

Answer: 71.25

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Step-by-step explanation:

Multiply each x score with its corresponding weight w

`\begin{array}c \cline{1-3}\text{x} & \text{w} & \text{xw}\\\cline{1-3}60 & 0.05 & 3\\\cline{1-3}75 & 0.35 & 26.25\\\cline{1-3}80 & 0.2 & 16\\\cline{1-3}70 & 0.15 & 10.5\\\cline{1-3}62 & 0.25 & 15.5\\\cline{1-3}\end{array}`

Then add up the xw values

3+26.25+16+10.5+15.5 = 71.25