Question

in a students statistics class, the final grade is based on four categories. the categories, grades in percentages), and weights are shown in this table.

category	grade %	weight %
labs	85	6
assignments	59	5
final exam	92	62

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

$27\% = 0.27$, $6\%=0.06$, $5\% = 0.05$, $62\%=0.62$

Step2: Calculate weighted - grade products

Tests: $65\times0.27 = 17.55$
Labs: $85\times0.06=5.1$
Assignments: $59\times0.05 = 2.95$
Final Exam: $92\times0.62=57.04$

Step3: Sum up the weighted - grade products

$17.55 + 5.1+2.95 + 57.04=82.64$

Answer:

$82.64$