3.1: measures of center. find the weighted average.\nin a students botony class, the final grade is based on…

3.1: measures of center. find the weighted average.\nin a students botony class, the final grade is based on four categories.\nthe categories, grades in percentages), and weights are shown in this table.\ncategory grade % weight %\ntests 53 15\nlabs 62 5\nassignments 60 5\nfinal exam 82 75\ncompute 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.\noverall grade: %\nquestion help: message instructor post to forum

3.1: measures of center. find the weighted average.\nin a students botony class, the final grade is based on four categories.\nthe categories, grades in percentages), and weights are shown in this table.\ncategory grade % weight %\ntests 53 15\nlabs 62 5\nassignments 60 5\nfinal exam 82 75\ncompute 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.\noverall grade: %\nquestion help: message instructor post to forum

Answer

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:

$75.55$