Question

You are given a set of data with a mean of 50 and standard deviation of 8. Using the normal curve, give an example of an outlier and explain why.

Answer 1

Anything less than 26, and greater than 74.

Explanation:

In normal distribution, the outlier is more than e ≈ 2.72 standard deviations above quartile 3, and e standard deviations below quartile 1. These quartiles are divisions that make up what is known as the innerquartile range(IQR). Which defines the variability of a data set given by IQR = Q3-Q1.

Given that the mean of this data is 50, and the standard deviation is 8.

Our outliers are anything less than 26, and anything greater than 74. Since outliers are anything outside the mean plus and minus the standard deviation times 3

`outliers :/ = :/ mean :/ \pm`