A teacher recorded the test scores of her students as follows: 60, 65, 70, 75, 80, 85, 90, 95, 100. Calculate the Interquartile Range (IQR) for this data set. The IQR is _________.
Answer & Analysis
Analysis
Question Analysis
This question evaluates the student's ability to calculate the Interquartile Range (IQR) from a given data set. The IQR is the difference between the third quartile (Q3) and the first quartile (Q1).
Key Concept Explanation
The Interquartile Range (IQR) is a measure of statistical dispersion, representing the range covered by the middle 50% of the data. It is calculated as IQR = Q3 - Q1.
Step-by-step Solution
1. First, sort the data set: 60, 65, 70, 75, 80, 85, 90, 95, 100 (already sorted).
2. Determine the median (Q2): The median is 80.
3. Find Q1 (median of the first hal...
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