Question

3.1: measures of center. find the weighted average.
in a students botony class, the final grade is based on four categories.
the categories, grades in percentages), and weights are shown in this table.
category grade % weight %
tests 53 15
labs 62 5
assignments 60 5
final exam 82 75
compute a weighted average to determine the students overall final grade in the course. convert the weight percentages to decimals before multiplying them times the grades. record the grade below as a percentage. round accurately to two decimal places.
overall grade: %
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Explanation:

Step1: Convert weights to decimals

The weights are $15\% = 0.15$, $5\%=0.05$, $5\% = 0.05$, $75\%=0.75$.

Step2: Calculate the product for each category

For Tests: $53\times0.15 = 7.95$.
For Labs: $62\times0.05=3.1$.
For Assignments: $60\times0.05 = 3$.
For Final Exam: $82\times0.75=61.5$.

Step3: Sum up the products

$7.95 + 3.1+3 + 61.5=75.55$.

Answer:

$75.55$