By R.B.G. Williams
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Additional info for Introduction to Statistics for Geographers and Earth Scientists
These differences are presumably only accidental. Were the sequence longer, the digits would doubtless appear in more equal proportions. In a random sequence not only ought individual digits to appear with approximately equal frequency, but also pairs of digits such as 11, 43, 57 and 96, triplets such as Ill, 274, 816 and 954, and so on. If there is any order , pattern or relationship in a sequence of random digits, it is entirely the result of chance. Consider again the sequence of digits 4 1 6 3 3 4 3 4 244 1 465 6 34 Introduction to Statistics for Geographers and Earth Scientists The digits would seem to be arranged in no particular order.
One cannot prove a negative, save in special circumstances . Although the digits may seem to lack order this is not proof that no order exists . Just because a sequence appears incompressible , this does not mean that it cannot be compressed. Defining randomness in terms of process would seem less open to objection than defining it in terms of the results. Nevertheless randomness still cannot be proven since one can never be sure that a supposedl y random process is operating in an entirely random manner.
45 km. The same result can be obtained by adding the real lower limit to the real upper limit, and dividing by two viz. 45 km. There are no hard and fast rules concerning the construction of frequency distributions. It is very much a matter of personal choice what classes are used. Nevertheless certain obvious points need to be borne in mind: 40 Introduction to Statistics for Geographers and Earth Scientists 1. If too many classes are used, the distribution will be rendered unwieldy and will not summarise the data sufficiently.