The table displays the scores of students on a recent exam. Find the mean of the scores to the nearest 10th.
Score: 65, 70, 75, 80, 85, 90, 95, 100
Number of Students: 2, 7, 2, 6, 7, 9, 2, 1
To find the mean, we need to first multiply each score by its corresponding number of students and then add up all of these products. Then, we divide this sum by the total number of students, which is the sum of all the numbers in the "Number of Students" column:
(65 x 2) + (70 x 7) + (75 x 2) + (80 x 6) + (85 x 7) + (90 x 9) + (95 x 2) + (100 x 1) = 10640
2 + 7 + 2 + 6 + 7 + 9 + 2 + 1 = 36
Mean = 10640 ÷ 36 = 295.56 (rounded to the nearest tenth)
Therefore, the mean of the scores is 295.6.
To find the mean of the scores, we need to calculate the sum of all the scores and then divide by the total number of students.
To calculate the sum of the scores, we multiply each score by the number of students who received that score and add them together:
(65 * 2) + (70 * 7) + (75 * 2) + (80 * 6) + (85 * 7) + (90 * 9) + (95 * 2) + (100 * 1) = 6085
Next, we sum up the total number of students:
2 + 7 + 2 + 6 + 7 + 9 + 2 + 1 = 36
Finally, to find the mean, we divide the sum of the scores by the total number of students:
6085 ÷ 36 = 169.0278
Rounding to the nearest tenth, the mean of the scores is approximately 169.0.