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Range Iqr

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Range Iqr


1. The problem asks us to find the range and the interquartile range (IQR) from the given box plot data about centipede leg counts. 2. From the box plot, the minimum value (left whisker start) is approximately 40 legs. 3. The maximum value (right whisker end) is approximately 120 legs. 4. The range is calculated as the difference between the maximum and minimum values: $$\text{Range} = 120 - 40 = 80$$ 5. The box extends from about 50 to 100 legs, representing the interquartile range (IQR), which is the difference between the third quartile (Q3) and the first quartile (Q1). 6. Calculate the IQR: $$\text{IQR} = 100 - 50 = 50$$ 7. Therefore, the range of the number of legs is 80, and the interquartile range is 50.