In a class of 12 students, the scores on a test are 100, 65, 100, 75, 80, 85, 100, 95, 60, 100, 70, and 90. The median score is _________.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to find the median of a given data set. The median is the middle value when the data points are arranged in ascending order. If the number of data points is even, the median is the average of the two middle values.
Key Concept Explanation
The median is a measure of central tendency that represents the middle value of a data set. It is not affected by extreme values and can reflect the middle level of the data.
Step-by-step Solution
1. Arrange the data points in ascending order: 60, 65, 70, 75, 80, 85, 90, 95, 100, 100, 100, 100
2. Determine the two middle values: 85 and 90 (since there are 12 data points, the middle positions are the 6th and 7th values)
3. Calculate the median:
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