The article “Vehicle-Arrival Characteristics at Urban Uncontrolled Intersections” presents data on traffic characteristics at 10 intersections in Madras, India. One characteristic measured was the speeds of the vehicles traveling through the intersections. The accompanying table gives the 15th, 50th, and 85th percentiles of speed (in km/h) for two intersections.
a. If a histogram for speeds of vehicles through intersection A were drawn, do you think it would be skewed to the left, skewed to the right, or approximately symmetric? Explain.
b. If a histogram for speeds of vehicles through intersection B were drawn, do you think it would be skewed to the left, skewed to the right, or approximately symmetric? Explain.
(a) Skewed to the left. The 85th percentile is much closer to the median (50th percentile) than the 15th percentile is. Therefore the histogram is likely to have a longer left-hand tail than right-hand tail.
(b) Skewed to the right. The 15th percentile is much closer to the median (50th percentile) than the 85th percentile is. Therefore the histogram is likely to have a longer right-hand tail than left-hand tail.
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