In the line graph below, math scores are reported for Japanese and American people. According to the chart, the Japanese scores show a negatively skewed distribution. In a negatively skewed distribution, most of the data values fall to the right of the mean, and the “tail” of the distribution is to the left. In addition, the mean is to the left of the median, and the mode is to the right of the median. According to the chart, the American scores show a positively skewed distribution. In a positively skewed distribution, most of the data values fall to the left of the mean, and the “tail” of the distribution is to the right. In addition, the mean is to the right of the median, and the mode is to the left of the median. Looking at the line graph, it appears that the Japanese scores are leptokurtic (more peaked) and the American scores are platykurtic (less peaked). The Japanese scores are mostly concentrated in the range of 41 to 56. The American scores are mostly concentrated in the range of 39 to 59.
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