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The boundary of a Number

Today i will teach you about the boundary of a number

Since continuous data must be measured, answers must be rounded because of the limits of the measuring device. Usually, answers are rounded to the nearest given unit. For example, heights might be rounded to the nearest inch, weights to the nearest ounce, etc. Hence, a recorded height of 73 inches could mean any measure from 72.5 inches up to but not including 73.5 inches. Thus, the boundary of this measure is given as 72.5–73.5 inches. The boundary of a number, then, is defined as a class in which a data value would be placed before the data value was rounded. Boundaries are written for convenience as 72.5–73.5 but are understood to mean all values up to but not including 73.5. Actual data values of 73.5 would be rounded to 74 and would be included in a class with boundaries of 73.5 up to but not including 74.5, written as 73.5–74.5. As another example, if a recorded weight is 86 pounds, the exact boundaries are 85.5 up to but not including 86.5, written as 85.5–86.5 pounds. Table 1–1 helps to clarify this concept. The boundaries of a continuous variable are given in one additional decimal place and always end with the digit 5.Unusual Stat

Fifty-two percent of Americans live within 50 miles of a coastal shoreline. TABLE 1–1Recorded Values and Boundaries

VariableRecorded valueBoundaries
Length15 centimeters (cm)14.5–15.5 cm
Temperature86 degrees Fahrenheit (°F)85.5–86.5°F
Time0.43 second (sec)0.425–0.435 sec
Mass1.6 grams (g)1.55–1.65 g

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