11 Dec 2022

185

Normal Distribution: Definition, Formula, Examples

Format: APA

Academic level: College

Paper type: Math Problem

Words: 235

Pages: 1

Downloads: 0

There are multiple methods of determining the nature of data, whether it is normal or not. Provided the data is given, a researcher could easily determine this phenomenon. This paper provides a histogram and determines whether the data chosen is normal or not. 

For this paper, the choice of data was providing an hour daily of television time for three children. In this case, it will be considered that only an hour was made available for the children each day. Thus, a histogram was plotted for frequency against bin, where bin represents every day that the children watched television and frequency is the cumulative frequency for which the children watch television. The histogram is presented below: 

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If a trend-line was added to this graph, it would be seen that the data would be normal since the trend-line keeps going upwards; if it was extrapolated in the negative direction, then this data would have the opposite and equal value. Where data is not normal, there would be no opposite and equal trend-line. Again, a second confirmation for this fact is that the mean, mode and median for these values provided are the same. In this manner, therefore, the data is confirmed to be normal in nature. 

As a result, this data has been tested using two methods for its normal nature: first, the symmetry method, where it is found that if the data was extrapolated on the same plan in the opposite direction, it would be equal to the existing trend-line. Again, the data has also been tested using the descriptive statistics method, where the mean, mode and median is the same value. 

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StudyBounty. (2023, September 14). Normal Distribution: Definition, Formula, Examples .
https://studybounty.com/normal-distribution-definition-formula-examples-math-problem

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