Daily air quality is measured by the air quality index (AQI) reported by the Environmental Protection Agency. This index reports the pollution level and what associated health effects might be a concern. The index is calculated for five major air pollutants regulated by the Clean Air Act and takes values from 0 to 300, where a higher value indicates lower air quality. Suppose the AQI was reported for a sample of 100 days in 2011 in Durham, NC. The relative frequency histogram below shows the distribution of the AQI values on these days. A histogram has a horizontal axis labeled "Daily AQI" with values from 5 to 65 and a vertical axis with values from 0 to 0.2. The histogram has 12 bars of equal width. Each bar is associated with an interval and an approximate value as listed below. 5 to 10: 0.01 10 to 15: 0.06 15 to 20: 0.2 20 to 25: 0.07 25 to 30: 0.2 30 to 35: 0.15 35 to 40: 0.07 40 to 45: 0.04 45 to 50: 0.06 50 to 55: 0.09 55 to 60: 0.03 60 to 65: 0.02 (a) Estimate the median AQI value of this sample. 17.5 27.5 37.5 47.5 52.5 (b) Would you expect the mean AQI value of this sample to be higher or lower than the median? Explain your reasoning. We would expect the mean to be higher than the median since the distribution appears right skewed . (c) Estimate Q1 and Q3 for the distribution.