Problem

The following 9 numbers represent the scores of 9 students in a math test: 76, 85, 90, 91, 92, 95, 98, 99, 100. Find the upper quartile (Q3) of these scores.

Answer

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Answer

Step 3: Find the median of the upper half. Since there are 5 numbers, the median is the third number: \(98\)

Steps

Step 1 ：Step 1: Arrange the data in ascending order: \(76, 85, 90, 91, 92, 95, 98, 99, 100\)

Step 2 ：Step 2: The upper quartile (Q3) is the median of the upper half of the data. Since there are 9 data points, the upper half of the data consists of the last 5 numbers: \(92, 95, 98, 99, 100\)

Step 3 ：Step 3: Find the median of the upper half. Since there are 5 numbers, the median is the third number: \(98\)

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