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Influenced by Outliers
  • Outliers are points that are surprising, or far from the rest of the points. Outliers highly influence the arithmetic mean. For instance, if you wanted to find the average height of American men and, just by chance, your sample included a guy who was 7 feet 6 inches tall, the mean would be high. A better choice here might be the median, or a trimmed mean.

Not Appropriate with Highly Skewed Data
  • Skewed data has a long tail on one side. That is, the values on one side of the mean are much farther from the mean than those on the other side. A familiar example is income. According to the Census Bureau, the mean household income in the United States in 2004 was $60,056. But while the lowest income is around $0 (which is $60,000 below the mean), the highest is well over $120,000 (which is $60,000 above the mean). Indeed, 1,699,000 households made more than $250,000. This is why income is usually reported as median, rather than mean.

Not Good for Rates
  • Suppose you travel 120 miles and back. On the first part of your trip, you travel at 40 miles per hour. On the second part of your trip you travel at 60 mph. But the average rate is not the arithmetic mean (40 + 60)/2 = 50 miles per hour. The trip out takes three hours. The trip back takes two hours. So, you traveled 240 miles in five hours, for an average of 240/5, or 48 mph. Here you should use the harmonic mean.

Not Good for Averaging Averages
  • This is similar to the previous problem, but it appears differently. When you average averages, the arithmetic mean is not right. For instance, suppose you want to find the average height of people in your college class. You find that the average height of women is 5 feet 4 inches and the average for men is 5 feet 10 inches. But, unless there are the same number of men and women, the overall average will not be 5 feet 7 inches.

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Q: What are disadvantages of arithmetic density?
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Related questions

What is the arithmetic density of Yemen?

The quantity of arithmetic cannot be measured and so the density is not defined.


What is an arithmetic density?

An arithmetic density is a population density measured as the number of people per unit area of land.


Advantages and disadvantages of Arithmetic mean?

There are a great number of advantages and disadvantages of Arithmetic mean. One disadvantages is that it is not accurate.


Which country has the highest arithmetic density?

Monaco has the highest arithmetic density in the world. Its small size and high population contribute to this density.


How do you use arithmetic population density in a sentence?

The arithmetic population density of Phoenix, Arizona is 3119.94 per square mile.


What is the arithmetic density of Spain?

0.73%


Is physiologic population density of a country is always lower than the arithmetic density?

Not necessarily. Physiologic population density takes into account only habitable land, while arithmetic density considers total land area. So, in countries with large uninhabitable areas, physiologic density may be higher than arithmetic density.


The physiologic population density of a country is always lower than the arithmetic density?

False.


Which county has the highest arithmetic density?

The Indian Subcontinent


What are the disadvantages of Huffman coding over arithmetic coding?

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What is the difference between arithmetic density and physiological density?

Arithmetic density is a population measurement that calculates the total number of people per unit of land area, while physiological density measures the number of people per unit of arable land. In essence, arithmetic density provides a broad measure of population distribution, whereas physiological density specifically focuses on population pressures on agricultural resources.


What are the types of Population density?

The two main types of population density are arithmetic population density, which measures the number of people per unit of area, and physiological population density, which considers population density in relation to the amount of arable land available for agriculture in an area.