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The median ( middle value ) is the value that occurs in the middle if the numbers are arranged in order except when the number of numbers is even, in which case the middle falls between two numbers, so in that case the median is the mean of the two middle numbers We begin by sorting the numbers into ascending order Then we use truncating (integer) division to nd the index position of the middle number, which we extract and store as the median If the number of numbers is even, we make the median the mean of the two middle numbers

case, is shown in the diagram in relation to all the other use cases that make up the system Additionally, the diagram shows every person (principal) and trigger to show how each use case is initiated Remember that a use case (and a use case diagram) is a very basic documentation of a system and its processes As such, a use case diagram is a general-use document and can seem almost overly simplified in comparison with the actual system Its usefulness comes from relating the processes to one another and from giving nontechnical as well as technical personnel a way to communicate about the system To expand on our use case description example, take a look at Figure 52, which describes the conference call system Note that this diagram conforms to the Unified Modeling Language (UML) specifications for use case diagrams

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def calculate_std_dev(numbers, mean): total = 0 for number in numbers: total += ((number - mean) ** 2) variance = total / (len(numbers) - 1) return mathsqrt(variance)

A task decomposition that identifies tasks that can execute concurrently A data decomposition that identifies data local to each task A way of grouping tasks and ordering the groups to satisfy temporal constraints An analysis of dependencies among tasks

The sample standard deviation is a measure of dispersion, that is, how far the numbers differ from the mean This function calculates the sample standard

x x deviation using the formula s = (nx 1 ) , where x is each number, is the mean, and n is the number of numbers

UML is a standards specification established and maintained by the Object Management Group (OMG) UML establishes a common language that can be used to build a blueprint for software systems More information can be found at the OMG Web site at wwwomgorg

def print_results(count, statistics): real = "92f" if statisticsmode is None: modeline = "" elif len(statisticsmode) == 1: modeline = "mode = {0:{fmt}}\n"format( statisticsmode[0], fmt=real) else: modeline = ("mode = [" + ", "join(["{0:2f}"format(m) for m in statisticsmode]) + "]\n") print("""\

.

count = {0:6} mean = {mean:{fmt}} median = {median:{fmt}} {1}\ std dev = {std_dev:{fmt}}"""format( count, modeline, fmt=real, **statistics_asdict()))

str format()

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