Determine which score corresponds to the higher relative position.
-In a data set with a range of 66.5 to 121.4 and 200 observations, there are 138 data points with values less than 87.7. Find the percentile for 87.7.
A)32
B)69
C)424
D)138.43

Question

Quizplus · Accepted Answer

The percentile rank of a score is calculated by the formula: $\frac{Number\ of\ scores\ below\ the\ score\ +\ 0.5}{Total\ number\ of\ scores} \times 100$. For a score of 87.7, with 138 scores below it, the calculation is $\frac{138 + 0.5}{200} \times 100 = 69.25$. Rounding to the nearest whole number gives a percentile rank of 69, indicating that 87.7 is at the 69th percentile, meaning it is higher than 69% of the data.

Determine Which Score Corresponds to the Higher Relative Position