Subjects statistics

Box Plot Comparison C367D1

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1. **State the problem:** We are comparing two box plots representing the distances jumped by Car A and Car B. We need to determine which statements about their medians, ranges, and farthest jumps are true. 2. **Identify medians:** The median is the middle value of the data set, shown by the line inside the box of a box plot. - Car A's median is near 190 inches. - Car B's median is near 185 inches. 3. **Compare medians:** Since 190 > 185, Car A has a higher median. 4. **Identify ranges:** The range is the difference between the maximum and minimum values. - Car A's range is approximately from 170 to 205 inches, so range = 205 - 170 = 35 inches. - Car B's range is approximately from 165 to 210 inches, so range = 210 - 165 = 45 inches. 5. **Compare ranges:** Since 35 ≠ 45, Car A and Car B do not have equal ranges. 6. **Identify farthest jump:** The farthest jump is the maximum value. - Car A's maximum is about 205 inches. - Car B's maximum is about 210 inches. 7. **Compare farthest jumps:** Since 210 > 205, Car B jumped the farthest. **Final answers:** - Car A has a higher median. **True** - Car B has a higher median. **False** - Car A and Car B have equal range. **False** - Car B jumped the farthest. **True**