8, 18, 10,14, 18, 11, 13, 14, 13, 17, 15, 8, 16, and 13 The following are scores obtained by some students in…

Analyze the question: We need the mean of all the scores, then count how many scores are strictly greater than the mean.

Data (14 scores): 8, 18, 10, 14, 18, 11, 13, 14, 13, 17, 15, 8, 16, 13

Step 1: Sum of the scores

• 8 + 18 = 26
• 26 + 10 = 36
• 36 + 14 = 50
• 50 + 18 = 68
• 68 + 11 = 79
• 79 + 13 = 92
• 92 + 14 = 106
• 106 + 13 = 119
• 119 + 17 = 136
• 136 + 15 = 151
• 151 + 8 = 159
• 159 + 16 = 175
• 175 + 13 = 188

Step 2: Mean Mean = 188 ÷ 14 ≈ 13.43

Step 3: Count the scores above 13.43 That means scores of 14 or more:

• 18, 14, 18, 14, 17, 15, 16

That gives 7 scores: 18, 14, 18, 14, 17, 15, 16.

Check the ones not above: 8, 10, 11, 13, 13, 8, 13 (7 scores). Total 7 + 7 = 14 ✓.

Answer: 7 students scored above the mean, which is option D.

Tip: Count the data first so you know the total (14). After finding the mean, count the scores above it and the scores below it, and check that they add up to the total, so you don't miss any. Remember that scores equal to 13 are below a mean of 13.43.