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Normal Distribution

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Running head: NORMAL DISTRIBUTION Normal Distribution Your name Institutional Affiliations 1 NORMAL DISTRIBUTION 2 Normal Distribution Given that Mean (𝜇) = 14, Standard deviation (𝜎) = 3 Let x be the vacation taken by an employee This is a case of population standard deviation because the standard deviation is taken from the total population of the company’s employees. Standard deviation measures the spread of data, whereby the data can be a sample of the whole population or the entire population. If the population is too large, a sample of it is taken for data analysis and a sample standard deviation is used in analysis. When the data is small, then the whole population is taken for analysis and therefore population standard deviation is used (Rukmangadachari, 2012). Both standard deviations have got different formulas as shown below: Population standard deviation ∑(𝑥𝑖 − 𝜇)2 𝜎=√ 𝑁 Sample standard deviation ∑(𝑥𝑖 − 𝑥̅ )2 √ 𝑠𝑥 = 𝑛−1 Population standard deviation is denoted by 𝜎 and is divided by N, which is the total number of datasets in the population. Sample standard deviation is denoted by s and is divided by n-1, ...
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