Final answer:
Milo placed in the 85th percentile in a tennis tournament with 128 competitors, meaning 85% scored lower than him. After calculating, we find that 108 competitors scored below Milo. Considering Milo as well, 21 competitors placed above him.
Step-by-step explanation:
To determine how many people placed above Milo in the tennis tournament, if Milo is in the 85th percentile, we should first understand what the 85th percentile means. The 85th percentile is the value below which 85% of the observations may be found. In this context, it signifies that Milo scored better than 85% of the competitors.
Since there are 128 competitors, we calculate 85% of 128 to find how many people Milo has scored better than:
0.85 × 128 = 108.8
Since the number of people must be an integer, and Milo cannot score better than himself, we round 108.8 down to 108, meaning Milo did better than 108 people. To find out how many people placed above him, we subtract 108 from the total number of competitors:
128 - 108 = 20
However, we need to consider that Milo is also part of the group that is not included in the 85%, so we add one to that number to include him:
20 + 1 = 21
Therefore, 21 people placed above Milo in the final rankings, which corresponds to answer option B).