Question

use the percentiles flowchart interactive to answer the following question. when finding the 35th percentile from a sample of 200 iq scores, the locator l is found to be 70. what is the value of the 35th percentile? choose the correct answer below a. the 35th iq score in the sorted list b. the 70th iq score in the sorted list c. the iq score that is midway between the 70th and 71st scores in the sorted list. d. the iq score that is midway between the 35th and 36th scores in the sorted list

Explanation:

Step1: Recall percentile - locator relationship

The locator $L$ for the $p$th percentile of a data - set of size $n$ is used to find the position of the percentile value. If $L$ is a whole number, the $p$th percentile is the average of the values in the $L$th and $(L + 1)$th positions in the sorted data - set.

Step2: Identify the given locator value

We are given that $L=70$ (a whole number) when finding the 35th percentile of a sample of $n = 200$ IQ scores.

Answer:

C. The IQ score that is midway between the 70th and 71st scores in the sorted list.