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In this system all the properties of nominal and ordinal numbers are included

# In this system all the properties of nominal and ordinal numbers are included

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In this system all the properties of nominal and ordinal numbers are included. In  addition, the intervals between numbers are also equal. The difference between  numbers is therefore the same, for example, 36 degrees Celsius is the same amount  above 35 degrees as 200 degrees is above 199 degrees. One degree is equal to one  degree. However, interval numbers lack a true zero. 100 degrees is not twice as hot  as 50 degrees. Using a more obvious representation (100 + x) degrees is not 2 times  larger than (50 + x) degrees because the x term would also have to be considered.  The figure below illustrates this effect with the arbitrary zero axis as a dotted line  and the true axis as a solid line. While 4 is twice as high above the arbitrary axis as  2, it is not twice as high above the real origin. It can be seen that the true measure

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Unformatted text preview: can be like an entire iceberg while the measure based on an arbitrary zero measure (an interval number) is like what is above the surface of the water. Twice as high above the water is not the same as twice as high altogether, if the icebergs move to fresh water their relative size above the water will change. In this system all the above attributes of the other number systems are included. In addition, zero means the absence of the property. For example, in the Kelvin scale of temperature, 0 degrees means absolute zero, the absence of molecular motion and therefore the absence of temperature. Two degrees Kelvin is twice as hot as 1 degree Kelvin. Ratio numbers are what most people mean when they talk without qualifications about numbers. The following figure illustrates measurement scales....
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