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Boxplot Whiskers

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Boxplot Whiskers


1. The problem asks to find the values for the left and right whiskers of the boxplot titled "Boxplot of Smokers". 2. Given data points: Q1 = 86 ± 5, Q2 = 177, Q3 = (? ± 5) : 5, and a scale of 2 cm to 50 units. 3. The left whisker typically extends to the minimum value or the lowest data point within 1.5 times the interquartile range (IQR) below Q1. 4. The right whisker extends to the maximum value or the highest data point within 1.5 times the IQR above Q3. 5. Calculate Q1 range: Q1 = 86 ± 5 means Q1 ranges from 81 to 91. 6. Q2 (median) is 177. 7. Q3 is unclear but given as (? ± 5) : 5, which is ambiguous. Assuming Q3 is approximately 250 (from the scale and boxplot position). 8. Calculate IQR = Q3 - Q1 ≈ 250 - 86 = 164. 9. Calculate lower whisker limit = Q1 - 1.5 * IQR = 86 - 1.5 * 164 = 86 - 246 = -160 (which is below 0, so whisker starts at minimum data point, likely 0). 10. Calculate upper whisker limit = Q3 + 1.5 * IQR = 250 + 246 = 496. 11. From the scale and boxplot, the left whisker is at approximately 0 (marked with an asterisk), and the right whisker is at approximately 496 (close to 500 on the scale). 12. Final answer: Left whisker value is approximately 0, right whisker value is approximately 496.