Subjects statistics

Interquartile Range D60Bc5

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Interquartile Range D60Bc5


1. **State the problem:** We need to calculate the interquartile range (IQR) from the five number summary. 2. **Recall the formula:** The interquartile range is given by: $$\text{IQR} = Q3 - Q1$$ where $Q3$ is the upper quartile and $Q1$ is the lower quartile. 3. **Use the values from the previous summary:** - $Q3 = 96$ - $Q1 = 78.5$ 4. **Calculate the IQR:** $$\text{IQR} = 96 - 78.5 = 17.5$$ 5. **Interpretation:** The interquartile range is 17.5, which measures the spread of the middle 50% of the data. **Final answer:** The interquartile range is 17.5.