Answer
a) median: 285; IQR = 9; mean = 284.3; standard deviation = 6.84.
b) The median and the IQR are the best options since the distribution is skewed to the left.
c) The distribution of math scores in different states for eighth graders in the US is skewed to the left and roughly unimodal. The distribution is centered at 285. Scores range from 269 to 301, with 50% of the scores falling between 280 and 289.
Work Step by Step
a) median: 285; IQR = 9; mean = 284.3; standard deviation = 6.84.
b) The median and the IQR are the best options since the distribution is skewed to the left.
c) The distribution of math scores in different states for eighth graders in the US is skewed to the left and roughly unimodal. The distribution is centered at 285. Scores range from 269 to 301, with 50% of the scores falling between 280 and 289.