Question 12.27

12.27 State SAT scores. We want to compare the distributions of average SAT Math and Writing scores for the states and the District of Columbia. We enter these data into a computer with the names SATM for Math scores and SATW for Writing scores. At the bottom of the page is output from the statistical software package Minitab. (Other software produces similar output. Some software uses rules for finding the quartiles that differ slightly from ours. So software may not give exactly the answer you would get by hand.)

Use this output to make boxplots of SAT Math and Writing scores for the states. Briefly compare the two distributions in words.

Minitab output for Exercise 12.27
Variable N Mean Median StDev Minimum Maximum Q1 Q3
SATM 51 537.82 525.00 48.26 502.00 620.00 502.00 585.00
SATW 51 517.86 508.00 45.89 431.00 587.00 477.00 566.00