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
75 22
80 99
85 77
90 11
95 11
100 33

Answer 1

To find the mean of the scores, we first need to calculate the total sum of all the scores by multiplying each score by the number of students who received that score, and then adding these products together.

Total sum = (75*22) + (80*99) + (85*77) + (90*11) + (95*11) + (100*33)
Total sum = 1650 + 7920 + 7225 + 990 + 1045 + 3300
Total sum = 22040

Next, we need to calculate the total number of students:

Total number of students = 22 + 99 + 77 + 11 + 11 + 33
Total number of students = 253

Now, we can calculate the mean by dividing the total sum by the total number of students:

Mean = Total sum / Total number of students
Mean = 22040 / 253
Mean ≈ 87.1

Therefore, the mean of the scores is approximately 87.1 to the nearest 10th.