Question

the table displays the scores of students on a recent exam. find the mean of the scores to the nearest 10th.

score	number of students
80	9
85	7
90	1
95	1
100	3

Explanation:

Step1: Calculate total score

Multiply each score by its number of students and sum them:
\(75\times2 + 80\times9 + 85\times7 + 90\times1 + 95\times1 + 100\times3\)
\(= 150 + 720 + 595 + 90 + 95 + 300\)
\(= 1950\)

Step2: Calculate total students

Sum the number of students:
\(2 + 9 + 7 + 1 + 1 + 3 = 23\)

Step3: Find the mean

Divide total score by total students:
\(\frac{1950}{23} \approx 84.8\)

Answer:

\(84.8\)