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quantitative tool in business

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MAY 2012 QUANTITATIVE TOOLS IN BUSINESS SOLUTION 2SOLUTION 6Random sampl<strong>in</strong>g is a sampl<strong>in</strong>g technique <strong>in</strong> which all observations have an equal chance tobe<strong>in</strong>g selected. Example: if there are 10 balls <strong>in</strong> a box, the selection of any one of random hasequal chance of 1/10 of be<strong>in</strong>g selected. Their sampl<strong>in</strong>g method is mostly used by Lotteries.Quota sampl<strong>in</strong>g is a sampl<strong>in</strong>g technique where quotas are allotted to identifiable groups and fromeach group selection is made. The groups are homogenous <strong>in</strong> character. Example: if arepresentation is required for a university student’s body, quotas can be given to each universitythen with<strong>in</strong> each group another sampl<strong>in</strong>g method could be used to select the observations. Thistechnique is used by FIFA to select representations for its tournaments.Systematic sampl<strong>in</strong>g is a sampl<strong>in</strong>g technique of select<strong>in</strong>g sample members from a largerpopulation accord<strong>in</strong>g to a random start<strong>in</strong>g po<strong>in</strong>t and a fixed, periodic <strong>in</strong>terval. Typically, every"nth" member is selected from the total population for <strong>in</strong>clusion <strong>in</strong> the sample population.For example, if you wanted to select a random group of 1,000 people from a population of50,000 us<strong>in</strong>g systematic sampl<strong>in</strong>g, you would simply select every 50th person, s<strong>in</strong>ce50,000/1,000 = 50. Another example is select<strong>in</strong>g samples from a production l<strong>in</strong>e where every10 th product can be selected for <strong>in</strong>spection.Frequency Distribution TableYields (kg) Tally Frequency10 – 1415 – 1920 – 2425 – 29|| || | | || | | | |125630 – 34| | | | | | |835 – 39| | | | | | | |940 – 44| | | | | |745 – 4950 – 5455 – 5960 - 64| | | || | || | ||5331__Σf50Page 9 of 12

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