The following graph is an ogive of a standardized test\'s scores. The vertical a

Question

The following graph is an ogive of a standardized test's scores. The vertical axis in an ogive is the cumulative relative frequency and can also be interpreted as a percentile Complete parts a through c. Find and interpret the percentile rank of a test score with a value of 120. A test score of 120 corresponds to the __th percentile rank since this percentage of test scores are__________ a test score with a value of 120. Find and interpret the percentile rank of a test score with a value of 130. A test score of 130 corresponds to the __th percentile rank since this percentage of test scores are ___________a test score with a value of 130. What score corresponds to the 20th percentile? The 20th percentile corresponds to a test score of __.

Explanation / Answer

Solution:

Note that the answers for the questions are based on the given diagram for percentile versus scores so there is no need to actual calculations using z-score formulas. Also, values for mean and SD are not given and we have to write answers only by using given diagram.

Part a

A test score of 120 corresponds to the 50th percentile rank since this percentage of test scores are corresponding to a test score with a value of 120.

Part b

A test score of 130 corresponds to the 80th percentile rank since this percentage of test scores are corresponding to a test score with a value of 130.

Part c

The 20th percentile corresponds to a test score of 110.

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