Given the following data

3, 5, 6, 6, 7, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 10, 11, 13, 15, 44

• Hand calculate the mean, median, Q1, Q3, IQR, variance and standard deviation (You can use the R calculator or any other calculator).

• Using the Q3 + 1.5 IQR and Q1 1.5IQR, decide whether there are any outliers in the data.

• Delete the outliers and recalculate the mean, median, Q1, Q3 and IQR. Comment on how the results changed and why.

• Save the given data as a .csv file and use R commands to calculate mean, median, Q1, Q3, IQR, variance and standard deviation for the data set with and without the outlier and compare the results.

• Using R, add five to all of the given data (N = 20) and see how the mean, median, variance, and standard deviation change. Report the results.

Let us say we use X to display. We call the new variable W. The R command would be

W = X + 5

• Using R, multiply all of the given data (N = 20) by 10 and see how the mean, median, variance, and standard deviation change. Report the results.

Let us say we call the new variable Z, the R command would be

Y = X*5

• Using R, divide all of the given data (N = 20) by 10 and see how the mean, median, variance, and standard deviation change. Report the results.

Let us say we call the new variable W, the R command would be

Z = X/10