Arrange the following statistical measures in increasing order of their values…

Concept: Deciles, quartiles, and percentiles are all positional measures that divide an ordered dataset into equal parts — a decile splits the data into 10 equal parts, a quartile into 4 equal parts, and a percentile into 100 equal parts. Because a percentile always uses 100 parts, any decile or quartile can be converted onto the same percentile scale using Dk = (10k)th percentile and Qk = (25k)th percentile, while the median is by definition the 50th percentile (P50). Converting every measure onto this common percentile scale is what allows them to be directly compared and ordered.

Application: Convert each of the four measures given in the question to its percentile equivalent:

Arranging these percentile values from smallest to largest: 50 < 60 < 70 < 75.

Cross-check: Recomputing independently from the definitions confirms the same conversions: since a decile marks off tenths of the data, the 6th decile sits at 6 × 10 = 60 percentile-points; since a quartile marks off quarters, the 3rd quartile sits at 3 × 25 = 75 percentile-points; and the median, being the middle value, is always the 50th percentile — matching every value used above.

Result: Ordering the four labels by their percentile values gives Median (C), then 6th Decile (A), then 70th Percentile (D), then 3rd Quartile (B) — the sequence C, A, D, B.