The University of West Texas decides to implement an Honors track to its English

Question

The University of West Texas decides to implement an Honors track to its English program. A commercial company offers to administer a 30 point test for placing students. The company provides a summary of percentiles based on past use of the test. (In the following table, the first row entry is a percentage p, and the second row is the p -th percentile of scores on this test. Percentage p 10 20 30 40 50 60 70 80 90 p -th Percentile 6 10 10 15 18 18 20 24 26 What is the first quartile of the scores on the test?

Explanation / Answer

Given data from lowest to highest

6, 10, 10, 15, 18, 18, 20, 24, 26

First quartile (Q1)

The first quartile ( 25th percentile) is the median of the bottom half of the arranged data.

6, 10, 10, 15,

first quartile : (10 + 10) / 2 = 10

   First quartile (Q1) : 10

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