Subjects statistics

Sat Score Comparison 86De65

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1. The problem asks us to compare the SAT score distributions of anthropology and economics majors based on their mean and median values. 2. Important concepts: - The **mean** is the average of all scores. - The **median** is the middle value when scores are ordered. - If the mean is greater than the median, the distribution is right-skewed (long tail to the right). - If the median is greater than the mean, the distribution is left-skewed (long tail to the left). 3. From the dot plots: - Anthropology scores range roughly from 1650 to 2250 with tallest stacks around 1800 and 1850. - Economics scores range roughly from 1750 to 2050 with the tallest stack around 1900. 4. Since the anthropology distribution has a longer right tail (scores up to 2250) and the tallest stacks are below 1900, the mean is likely greater than the median for anthropology majors. 5. Economics scores are more tightly clustered around 1900, so the median is likely higher than that of anthropology majors. 6. Therefore: - For anthropology majors, the mean SAT score is greater than the median. - Economics majors have a greater median SAT score. Final answers: - The **anthropology** majors have mean SAT score greater than median. - The **economics** majors have a greater median SAT score.