Definition
Investment
In the context of investment, the range refers to the high and low ends of a security, commodity future, or market price fluctuations over a specified period. Daily newspapers commonly publish the 52-week high and low price range of stocks traded on major stock exchanges such as the New York Stock Exchange (NYSE), American Stock Exchange (AMEX), and over-the-counter (OTC) markets.
Statistics
In statistics, the range is defined as the difference between the smallest and largest values in a sample or data set. This measure provides a simple gauge of the spread or dispersion of the dataset.
Examples
Investment
- Stock Range Example: A company’s stock might have a 52-week high of $150 and a low of $100. Thus, the range for the stock price for that year would be $150 - $100 = $50.
- Commodity Future Range Example: Suppose the price of crude oil on the futures market had a high of $75 per barrel and a low of $50 over the last month. Therefore, the range would be $75 - $50 = $25.
Statistics
- Simple Data Set Example: Consider the data set: {3, 7, 10, 2, 8}. The smallest value is 2 and the largest value is 10, so the range is 10 - 2 = 8.
- Exam Scores Example: In a class test, if students scored between 50 and 95, the range of scores is 95 - 50 = 45.
Frequently Asked Questions (FAQs)
Q: Why is the range important in investments?
A: The range gives investors an idea of the volatility and risk associated with a particular security or market. A wider range may indicate higher volatility, which could influence investment decisions.
Q: How does the range differ from other statistical measures like variance and standard deviation?
A: While the range measures the simplest form of data dispersion by subtracting the smallest value from the largest value, variance and standard deviation provide more complex insights into the spread of data by considering how each data point deviates from the mean.
Q: Can the range be negative?
A: No, the range is always a non-negative value, as it represents the absolute difference between the smallest and largest values in a data set.
Q: How do outliers affect the range?
A: Outliers can significantly affect the range because it is only based on the minimum and maximum values. A single extreme value can greatly widen the range, making it less representative of the overall data spread.
Related Terms
Variance
Variance is a measure of dispersion that represents the average squared deviation of each data point from the mean of the data set.
Standard Deviation
Standard deviation is the square root of variance and provides a measure of how much each data point deviates from the mean, expressed in the same units as the original data.
Volatility
In the context of finance, volatility refers to the degree of variation of a trading price series over time, usually measured by the standard deviation of returns.
Interquartile Range (IQR)
The interquartile range is a measure of statistical dispersion, being equal to the difference between the upper and lower quartiles.
Online References
Suggested Books for Further Studies
- “Statistics for Business and Economics” by Paul Newbold, William L. Carlson, and Betty Thorne
- “Investments” by Zvi Bodie, Alex Kane, and Alan J. Marcus
- “Business Statistics” by J. Susan Milton and Jesse Arnold
- “The Intelligent Investor” by Benjamin Graham
Fundamentals of Range: Investment and Statistics Basics Quiz
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