How to Find the Location of the Test Score Associated with the Third Quartile in Math

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) 111B) 37C) 74D) 75

To find the location of the test score associated with the third quartile (Q3), we need to divide the data into four equal parts

To find the location of the test score associated with the third quartile (Q3), we need to divide the data into four equal parts.

The third quartile marks the boundary below which 75% of the data falls. This means that 25% of the data is above the third quartile.

To calculate the location of the test score associated with Q3, we can use the formula:
Location of Q3 = (N + 1) * 3/4

where N is the total number of data points.

Given that the class has 147 students, we can plug in the value of N:

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

Therefore, the location of the test score associated with the third quartile is 111.

So, the correct answer is A) 111.

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