What is another term for the 60th percentile?

Question

ScanSolve AI Tutor · Accepted Answer

To find another term for the 60th percentile, we need to understand the definitions of percentiles, deciles, and quartiles.

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 $(D \times 10)$ -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.
Evaluate the given options based on the 60th percentile.
- Option A: $4^{\text{th}}$ decile. This corresponds to the $4 \times 10 = 40^{\text{th}}$ percentile.
- Option B: upper quartile. This corresponds to the $75^{\text{th}}$ percentile.
- Option C: $6^{\text{th}}$ decile. This corresponds to the $6 \times 10 = 60^{\text{th}}$ percentile.
- Option D: lower quartile. This corresponds to the $25^{\text{th}}$ percentile.
Identify the correct option.
The $60^{\text{th}}$ percentile is equivalent to the $6^{\text{th}}$ decile.

The final answer is $\text{C. 6th decile}$ .

Answer