An environmental scientist measures the daily concentration of PM2.5\text{PM}_{2.5}PM2.5 particulate matter (in μg/m3\mu\text{g/m}^3μg/m3) near an industrial site over a year. The resulting dataset has a strong positive skew due to occasional high-pollution spikes on windless days.
Which of the following sets of summary statistics is most consistent with this distribution?
Mean=45.2 μg/m3\text{Mean} = 45.2\ \mu\text{g/m}^3Mean=45.2 μg/m3, Median=45.0 μg/m3\text{Median} = 45.0\ \mu\text{g/m}^3Median=45.0 μg/m3, Mode=44.8 μg/m3\text{Mode} = 44.8\ \mu\text{g/m}^3Mode=44.8 μg/m3
Mean=22.4 μg/m3\text{Mean} = 22.4\ \mu\text{g/m}^3Mean=22.4 μg/m3, Median=35.0 μg/m3\text{Median} = 35.0\ \mu\text{g/m}^3Median=35.0 μg/m3, Mode=48.2 μg/m3\text{Mode} = 48.2\ \mu\text{g/m}^3Mode=48.2 μg/m3
Mean=58.6 μg/m3\text{Mean} = 58.6\ \mu\text{g/m}^3Mean=58.6 μg/m3, Median=42.1 μg/m3\text{Median} = 42.1\ \mu\text{g/m}^3Median=42.1 μg/m3, Mode=30.3 μg/m3\text{Mode} = 30.3\ \mu\text{g/m}^3Mode=30.3 μg/m3
Mean=32.5 μg/m3\text{Mean} = 32.5\ \mu\text{g/m}^3Mean=32.5 μg/m3, Median=45.0 μg/m3\text{Median} = 45.0\ \mu\text{g/m}^3Median=45.0 μg/m3, Mode=32.5 μg/m3\text{Mode} = 32.5\ \mu\text{g/m}^3Mode=32.5 μg/m3
235 exam-style questions on AQA A Level Psychology Data handling and analysis. Each one has a worked solution and a mark scheme showing where the marks go.