Question

How can we tell if a set of data follows a normal distribution? Explain how each...

How can we tell if a set of data follows a normal distribution? Explain how each of the following is useful in helping us determine whether or not data have a normal distribution. 1. Making a histogram 2. Checking for outliers 3. Making a box-and-whisker plot

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Answer #1

1. If the shape of the histogram is symmetrical to the centre that is bell shaped then the distribution of the data is said to be normal distribution.

2. The presence of outliers in the data set becomes the data skewed. For a normally distributed data there is no presence of outliers. Hence outliers affect the symmetry of the data thus the normality.

3.If the box-and-whisker plot of the data is symmetrical to the median and there is no outliers in the Boxplot we say that the distribution of the data is normally distributed.

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