Question

jeanettes percent grades for the fall semester along with the credit earned per subject are given in the table. calculate her weighted average for the semester. round your answer to the nearest percent. the students average is %

Explanation:

Step1: Calculate the sum of grade - credit products

The formula for the weighted average is \(\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}w_{i}}{\sum_{i = 1}^{n}w_{i}}\), where \(x_{i}\) is the grade and \(w_{i}\) is the weight (credit).
For Calculus: \(x_1 = 85\), \(w_1=4\), so \(x_1w_1=85\times4 = 340\)
For Biology: \(x_2 = 98\), \(w_2 = 3\), so \(x_2w_2=98\times3=294\)
For Physiology: \(x_3 = 75\), \(w_3 = 3\), so \(x_3w_3=75\times3 = 225\)
For Communication II: \(x_4 = 63\), \(w_4=2\), so \(x_4w_4=63\times2=126\)
For Biotechnology: \(x_5 = 74\), \(w_5 = 4\), so \(x_5w_5=74\times4=296\)
\(\sum_{i = 1}^{5}x_{i}w_{i}=340 + 294+225+126+296=1281\)

Step2: Calculate the sum of credits

\(\sum_{i = 1}^{5}w_{i}=4 + 3+3+2+4=16\)

Step3: Calculate the weighted average

\(\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}w_{i}}{\sum_{i = 1}^{n}w_{i}}=\frac{1281}{16}=80.0625\)

Answer:

\(80\)