In a statistics class,10 scores were randomly selected,with the following results:
74,73,77,77,71,68,65,77,67,66
What is the 10^th percentile?

Question

In a statistics class,10 scores were randomly selected,with the following results: 74,73,77,77,71,68,65,77,67,66 What is the 10^th percentile? A)65.5 B)67.3 C)66.75 D)73.85 E)77.0

Quizplus · Accepted Answer

The 10th percentile is the value below which 10% of the data falls. First, arrange the scores in ascending order: 65, 66, 67, 68, 71, 73, 74, 77, 77, 77. The 10th percentile is calculated as the value at the 1st position (since 10% of 10 is 1), which is 65. However, since the percentile is not exactly at a data point, we interpolate between the 1st and 2nd values: (65 + 66) / 2 = 65.5.

In a Statistics Class,10 Scores Were Randomly Selected,with the Following