Question

the table displays the scores of students on a recent exam. score: 95, 90, 85, 80, 75; number of students: 3, 3, 3, 7, 2

Explanation:

Step1: Calculate the sum of products

Multiply each score by the number of students and sum them up.
\[95\times3 + 90\times3+85\times3 + 80\times7+75\times2=285 + 270+255+560 + 150=1520\]

Step2: Calculate the total number of students

Sum up the number of students in each score - group.
\[3 + 3+3 + 7+2=18\]

Step3: Calculate the mean

Divide the sum of products by the total number of students.
\[\text{Mean}=\frac{1520}{18}\approx84.44\]

Answer:

84.44