Question

to be considered for pilot school, 12 students took a spatial reasoning test that resulted in this list of scores. find the percentile for the score value 117.
152 121 130 143 122 101 137 98 138 127 145 117
(1 point)
○ 17th percentile
○ 25th percentile
○ 77th percentile
○ 83rd percentile

Explanation:

Step1: Sort the data

First, sort the scores in ascending order: \(98, 101, 117, 121, 122, 127, 130, 137, 138, 143, 145, 152\)

Step2: Calculate the percentile

The formula for the percentile \(P\) is \(P=\frac{n}{N}\times100\), where \(n\) is the number of values less than or equal to the given value, and \(N\) is the total number of values.
Here, \(n = 3\) (the values \(98,101,117\)), and \(N=12\)

$$P=\frac{3}{12}\times 100 = 25$$

Answer:

25th percentile