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The probabilities of the ranges have already been calculated, but which demands should be chosen to represent each demand range? The bracket medians should be used. This means finding the demand that is at the centre (in terms of probability) of each range. The mid-point in terms of demand (for example 7500 as the mid-point of the range 5000-10000) is an alternative but this does not reflect the changing slope of the cumulative probability distribution. For example, although 2500 is the mid-point of the 0-5000 range, it is (according to the distribution) far more likely that the demand will be between 2500 and 5000 than between 0 and 2500. In this sense the mid-point of the range is unrepresentative of demand. The bracket medians are found by reading off the graph the demand associated with the probability mid-point of each range. For example, the range 0-5000 relates to cumulative probabilities of 100% (for demand = 0) and 85% (for demand = 5000). The bracket median is therefore the demand for probability (100 + 85)/2 = 92.5. From the graph this demand is (very approximately) 3500. All the bracket medians are shown in the following table:


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