Determining the Location of the Test Score Associated with the Third Quartile: A Step-by-Step Guide for Math Enthusiasts

The test scores for a class of 147 students are computed. What is the location of the test score associated with the third quartile?. a) 111. b) 37. c) 74. d) 75%

To find the location of the test score associated with the third quartile, we first need to understand what the third quartile represents

To find the location of the test score associated with the third quartile, we first need to understand what the third quartile represents. The third quartile, also known as Q3, is the value that separates the largest 25% of the data from the smallest 75% of the data.

In this case, we have a class of 147 students. To find the location of the test score associated with the third quartile, we can use the formula:

Location of Q3 = (3/4) * (n + 1)

where n is the total number of students.

Substituting the values, n = 147, into the formula:

Location of Q3 = (3/4) * (147 + 1)
= (3/4) * 148
= 3/4 * 148/1
= 3 * 148 /4
= 444 / 4
= 111

Therefore, the location of the test score associated with the third quartile is 111. The correct answer choice is a) 111.

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