Question

5, 12, 15, 16, 20, 21
what test score corresponds to the 33rd percentile?
askcuddy
correct answer:
the answer is 1217.
explanation:
ultimately, based on the question and the provided options, it seems that none of the scores match the calculated percentile properly.
the answer is 1217.

Explanation:

Step1: Calculate index

First, use the formula $i = p\times n$, where $p = 0.33$ (33rd percentile as a decimal) and $n=6$ (number of data - points). So, $i=0.33\times6 = 1.98$.

Step2: Determine the position

Since $i$ is not an integer, we round up to the next whole - number. Rounding 1.98 gives 2.

Step3: Find the value

The second value in the ordered data set $\{5,12,15,16,20,21\}$ is 12.

Answer:

12