Correct option is C
Introduction
Percentiles, deciles, quintiles, and quartiles are all quantile measures that divide an ordered dataset into equal parts, each expressible as an equivalent percentile position.
Ranking them requires converting each to its percentile value.
Information Booster
Every quantile can be converted to a common percentile scale, and once done, the values line up in increasing order:
C. Decile (2nd decile) = 20th percentile — the lowest value. Deciles split data into ten equal parts, so the 2nd decile corresponds to 20%.
A. Percentile (30th percentile) = 30th percentile — next in line, sitting above the 2nd decile.
E. Median = 50th percentile — the central value, equivalent to the 5th decile, 2nd quartile, and 50th percentile simultaneously.
B. Quintile (3rd quintile) = 60th percentile — quintiles divide data into five equal parts (each = 20%), so the 3rd quintile falls at 60%.
D. Quartile (3rd quartile, Q3) = 75th percentile — the highest value here; quartiles split data into four parts, so Q3 corresponds to 75%.
Converting all to the percentile scale (20 < 30 < 50 < 60 < 75)