This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
You're on a roll — To find another term for the 60th percentile, we need to understand the definitions of percentiles, deciles, and quartiles. Step 1: Define percentiles, deciles, and quartiles. • A percentile divides a dataset into 100 equal parts. The P-th percentile means P\% of the data falls below that value. • A decile divides a dataset into 10 equal parts. The D-th decile corresponds to the (D × 10)-th percentile. • A quartile divides a dataset into 4 equal parts. The 1st quartile (lower quartile) is the 25th percentile, the 2nd quartile is the 50th percentile, and the 3rd quartile (upper quartile) is the 75th percentile. Step 2: Evaluate the given options based on the 60th percentile. • Option A: 4^th decile. This corresponds to the 4 × 10 = 40^th percentile. • Option B: upper quartile. This corresponds to the 75^th percentile. • Option C: 6^th decile. This corresponds to the 6 × 10 = 60^th percentile. • Option D: lower quartile. This corresponds to the 25^th percentile. Step 3: Identify the correct option. The 60^th percentile is equivalent to the 6^th decile. The final answer is C. 6th decile. What's next?