range

Examples of range in the following topics:

• Range

  • The range is a measure of the total spread of values in a quantitative dataset.
  • In statistics, the range is a measure of the total spread of values in a quantitative dataset.
  • The mid-range is the midpoint of the range; as such, it is a measure of central tendency.
  • The mid-range also lacks robustness, as outliers change it significantly.
  • Interpret the range as the overall dispersion of values in a dataset

• Introduction

  • But it is often easiest to write the range on a staff, as the two notes at the high and low ends of the range.
  • This smaller range is called the tessitura of the part.
  • Notice the similarity between this second definition and the term power range, sometimes used to describe the most powerful or useful part of an instrument's range.
  • A register is a distinctive part of a vocal or instrumental range.
  • For example, singers may speak of the head register, in the upper part of their range, and the chest register in the lower part of their range.

• Visualizing Domain and Range

  • Example 1:  Determine the domain and range of each graph pictured below:
  • The range for the graph $f(x)=-\frac{1}{12}x^3$, is $\mathbb{R}$.
  • Example 2: Determine the domain and range of each graph pictured below:
  • The range of the blue graph is all real numbers, $\mathbb{R}$.
  • Use the graph of a function to determine its domain and range

• Vocal Ranges

  • The four main vocal ranges are:
  • The ranges of the four voices overlap, but singers may find themselves straining or getting an unpleasant sound at the top or a weak sound at the bottom of their ranges.
  • The names for some of these ranges are:
  • Voices are as individual as faces; some altos will have a narrower or wider range, or the sweetest and most powerful part of their range in a different place than other altos.
  • These are approximate, average ranges for each voice category.

• Instrument Ranges

  • Some other terms that are used to describe instrument ranges are:
  • An instrument with a slightly higher fundamental will have a slightly higher range; an instrument with a much lower fundamental will have a much lower range.
  • The ranges of some instruments are definite and absolute.
  • But the ranges of many instruments are, like vocal ranges, not so definite.
  • Other instruments may be a mix of absolute and indefinite ranges.

• Range Wars

  • Range wars were fought over water rights, grazing rights, or property and border disagreements.
  • Range wars occurred throughout the American West throughout the late nineteenth century.
  • Famous range wars included the Lincoln County War, the Pleasant Valley War, the Mason County War, and the Johnson County Range War.
  • The Johnson County War, also known as the War on Powder River and the Wyoming Range War, was a range war that took place in Johnson, Natrona and Converse County, Wyoming in April 1892.
  • Assess the significance of range wars in late nineteenth century America

• Measures of Variability

  • The range is 8.
  • What is the range?
  • Therefore, the range is 4.
  • Therefore the range is 6.
  • The semi-interquartile range is defined simply as the interquartile range divided by 2.

• Host Range

  • A virus' host range is the range of cell types and host species a virus is able to infect.
  • The host range of the virus will depend upon the presence of the receptors described above.

• Trading off Equity and Efficiency

  • Income taxes are a laddered progressive tax where income tax rates are set in income bands or ranges.
  • Each tax rate corresponds to a particular income range; income above a tax range is subject to a higher tax rate that corresponds to a higher income range and income below a specific range is subject to a lower tax rate, similarly identified with a lower income range.
  • Within any given income range, the tax rate is the same.
  • The range can be identified as conforming to the concept of horizontal equity.
  • However, income taxes are only proportional within specific income ranges.

• Microwaves

  • The prefix "micro-" in "microwave" is not meant to suggest a wavelength in the micrometer range.
  • This frequency range corresponds to a wavelength range of 10 to 1 millimeter, so it is sometimes called the millimeter band.
  • This frequency range is used for most radar transmitters, microwave ovens, wireless LANs, cell phones, satellite communication, microwave radio relay links, and numerous short range terrestrial data links.
  • The range of frequencies and wavelengths is remarkable.
  • Distinguish three ranges of the microwave portion of the electromagnetic spectrum