State SAT scores. Figure 12.9 is a histogram of the average scores on the SAT Mathematics exam for students in the 50 states and the District of Columbia in 2004. The distinctive overall shape of this distribution implies that a single measure of center such as the mean or the median is of little value in describing the distribution. Explain why this is true.

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T T 14 12 10 Number of states 00 9 T T 4 2- 0 460 480 500 520 540 560 580 600 620 State average SAT Mathematics score Figure 12.9 Histogram of the average scores on the SAT Mathematics exam for students in the 50 states and the District of Columbia in 2004, for Exercise 12.18. (This figure was created using the Minitab software package.)