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School A has 400 students and School B has 2700 students. A local newspaper wants to
Chapter 10, Problem ap3.9(choose chapter or problem)
School A has 400 students and School B has 2700 students. A local newspaper wants to compare the distributions of SAT scores for the two schools. Which of the following would be the most useful for making this comparison? (a) Back-to-back stemplots for A and B (b) A scatterplot of A versus B (c) Dotplots for A and B drawn on the same scale (d) Two relative frequency histograms of A and B drawn on the same scale (e) Two bar graphs for A and B drawn on the same scale
Questions & Answers
QUESTION:
School A has 400 students and School B has 2700 students. A local newspaper wants to compare the distributions of SAT scores for the two schools. Which of the following would be the most useful for making this comparison? (a) Back-to-back stemplots for A and B (b) A scatterplot of A versus B (c) Dotplots for A and B drawn on the same scale (d) Two relative frequency histograms of A and B drawn on the same scale (e) Two bar graphs for A and B drawn on the same scale
ANSWER:Step 1 of 2
When you have a large amount of data, stem and leaf plots are not useful. SAT scores are numerical and ordinal, a histogram would be much better.Since both populations have different number of students, a relative frequency histogram standardizes the number of people per school and make it much more efficient at comparing populations and understanding their distributions than a frequency histogram and infinitely better than a stemplot.