12. Given a sample of measured values: 6 10 13 11 12 8 8 11 4...

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12. Given a sample of measured values: 6 10 13 11 12 8 8 11 4 (a) Calculate the Sample Mean, Variance and Standard Deviation. (b) Calculate the Five Number Summary, Range and IQR (by pen and paper). You will have to show your steps on paper. (c) Make a Stem-and-leaf plot from the data. (d) Check if there are outliers using the 1.5 x IQR rules. You will have to show your steps on paper. Construct a Boxplot from the 5 Number Summary. (e) If we multiple each of the original data by 10 then subtract 3, work out the new Sample Mean, Variance, Standard Deviation, Median, Range and IQR. Try to work out a general rule for doing this. These are referred to as affine transformations. 12. Given a sample of measured values: 6 10 13 11 12 8 8 11 4 (a) Calculate the Sample Mean, Variance and Standard Deviation. (b) Calculate the Five Number Summary, Range and IQR (by pen and paper). You will have to show your steps on paper. (c) Make a Stem-and-leaf plot from the data. (d) Check if there are outliers using the 1.5 x IQR rules. You will have to show your steps on paper. Construct a Boxplot from the 5 Number Summary. (e) If we multiple each of the original data by 10 then subtract 3, work out the new Sample Mean, Variance, Standard Deviation, Median, Range and IQR. Try to work out a general rule for doing this. These are referred to as affine transformations.