Using the data set 12, 13, 16, 16, 18, 20, 20, 20, 23, 30, 31, 32, 33, 36, 38, 38, 40, 40, 40, 40

Find 30th percentile (Show work). What does this value mean?

Find 70th percentile (Show work). What does this value mean?

Find Interquartile range. Show work. What does the Interquartile range IQR say about your data?

Find the interval that contains the data within two standard deviations of your mean. Show work.

Did you notice any potential outliers? If so, what values are they? Show your work in how you used the potential outlier formula to determine whether the values might be outliers.