Question

analyzing dot plots
assignment active
interpreting the data
the median rainfall during a spring storm in the lowlands is about 4 mm less than a spring storm in the highlands. the mean rainfall for the lowlands is about 3 mm less than for the highlands. why is there a difference in the central measures for each data set?

Explanation:

To determine why central measures (median, mean) differ, we analyze data distribution. The lowlands' data likely has outliers or skew (e.g., lower rainfall values) affecting mean/median. The highlands' data may have a different spread or skew. Outliers or asymmetric distribution cause mean (sensitive to outliers) and median (resistant) to diverge, and differences between lowlands and highlands arise from distinct data patterns (e.g., lowlands has more low - value outliers reducing mean/median relative to highlands).

Answer:

The difference in central measures occurs because the data sets for lowlands and highlands likely have different distributions (e.g., outliers, skewness). The lowlands' data may have values that pull the mean and median down (e.g., more low - rainfall outliers), while the highlands' data has a different pattern (e.g., less skew or different outlier presence). The mean is affected by outliers (sensitive), median is resistant, so their differences between regions relate to data spread/shape.