U.S. Trade Deficits The table at the left shows the U.S. trade deficits (in billions of dollars) with 18 countries in 2020. (Source: U.S. Department of Commerce)

a. Find the mean and the median of the trade deficits.

검증된 단계별 안내

Step 1: To find the mean of the trade deficits, sum up all the trade deficit values provided in the table. The trade deficits are: 310.8, 112.7, 69.7, 57.3, 56.7, 55.9, 55.4, 31.7, 29.9, 29.5, 26.4, 24.8, 23.8, 15.6, 15.2, 12.8, 12.0, and 8.6. Add these values together.

Step 2: Divide the total sum obtained in Step 1 by the number of countries listed in the table. There are 18 countries, so divide the total sum by 18 to calculate the mean.

Step 3: To find the median, first arrange the trade deficit values in ascending order. The ordered values are: 8.6, 12.0, 12.8, 15.2, 15.6, 23.8, 24.8, 26.4, 29.5, 29.9, 31.7, 55.4, 55.9, 56.7, 57.3, 69.7, 112.7, 310.8.

Step 4: Since there are 18 values (an even number), the median is the average of the two middle values. Identify the two middle values in the ordered list (the 9th and 10th values) and calculate their average.

Step 5: Report the mean and median values calculated in Steps 2 and 4 as the final results.

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주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Mean

The mean, or average, is calculated by summing all the values in a dataset and then dividing by the number of values. In the context of trade deficits, it provides a central value that represents the overall trade deficit across the countries listed. This measure is sensitive to extreme values, which can skew the mean if there are significant outliers.

Median

The median is the middle value in a dataset when the values are arranged in ascending or descending order. It is a robust measure of central tendency that is less affected by outliers compared to the mean. For trade deficits, the median gives a better sense of the typical deficit experienced with the countries listed, especially if there are countries with very high or low deficits.

Trade Deficit

A trade deficit occurs when a country's imports exceed its exports, resulting in a negative balance of trade. In the context of the U.S. trade deficits with various countries, it indicates how much more the U.S. is spending on foreign goods and services compared to what it is earning from exports. Understanding trade deficits is crucial for analyzing economic health and international trade relationships.

U.S. Trade Deficits The table at the left shows the U.S. trade deficits (in billions of dollars) with 18 countries in 2020. (Source: U.S. Department of Commerce)a. Find the mean and the median of the trade deficits.