Question

In your Statistics class, your final grade is based on four categories. The categories are tests, labs,assignments, and a final exam. Suppose you earned the following grades in each of the categories: 995 ontests, 54% on labs, 99% on assignments, and 100% on the final exam, If tests are worth 30%, labs are worth10%, assignments are worth 7%, and the final exam is worth 53%, determine your final grade in the course,Record the grade below as a percentage accurate to two decimal places.Final Grade:

Answer 1

To calculate the average of the grade we write them as decimals

`\begin{gathered} 99\text{\%}=0.99;\text{TESTS} \\ 54\text{\%}=0.54;\text{LABS} \\ 99\text{\%}=0.99;\text{ASSIGNMENTS} \\ 100\text{\%}=1;\text{FINAL EXAM} \end{gathered}`

After that represent the percentage each of the grades are woth

`\begin{gathered} 30\text{\%}=0.3;\text{TESTS} \\ 10\text{\%}=0.1;\text{LABS} \\ 7\text{\%}=0.07;\text{ASSIGNMENTS} \\ 53\text{\%}=0.53;\text{FINAL EXAM} \end{gathered}`

Find the percentage of the grade by multiplying the percentage grade as decimal by the percentage grade worth in decimal

`\begin{gathered} (0.99\cdot0.3)+(0.54\cdot0.1)+(0.99\cdot0.07)+(1\cdot0.53) \\ \text{0}.297+0.054+0.0693+0.53 \\ 0.9503 \end{gathered}`

Make the decimal as percentage by multiplying by 100

`0.9503=95.03\text{\%}`