Question

use the ogive below to answer questions 2 & 3.

1. what is the percentile rank of a score of 60?

a. 29.
b. 60.
c. 85.
d. 92.

1. what score is at p40?

a. 80.
b. 78.
c. 29.
d. 15.

Explanation:

Step1: Understand the ogive

An ogive (cumulative frequency graph) shows the cumulative proportion of data. For question 2, we look at the value on the y - axis (cumulative frequency percentage) corresponding to \(x = 60\) (score) on the x - axis. For question 3, we look at the value on the x - axis (score) corresponding to \(y=40\) (cumulative frequency percentage).

Step2: Analyze question 2

Looking at the ogive, when \(x = 60\) (score), the corresponding \(y\) - value (cumulative frequency percentage) is approximately \(85\).

Step3: Analyze question 3

Looking at the ogive, when \(y = 40\) (cumulative frequency percentage), the corresponding \(x\) - value (score) is approximately \(29\).

Answer:

1. C. 85
2. C. 29