Diamonds are categorized according to the "four Cs carats, clarity, colour, and cut. Each diamond stone is provided with a certificate that lists these four characteristics when it is sold on the spo t . The following data represent random samples of 20 diamonds sold in two different countries Table Diamonds sold in the open market South Africa VS VSI VSE VVSI VS2 2.95 ----------------- 1.00 0.95 VVS VVSI VVSI 09 094 0.89 091 VVS 0.79 ----- 0.92 VSI 099 078 VVS? VVSI VVS2 VVSI VSI VVS2 VVS2 VS2 VVSI ------- 0.74 0.74 0.83 - 09 a) maks) Identify the variable of interest and classify them by types Answer the following questions using the measurements from the Cascatalogue b) marks) Using an interval of 0.7 carats draw a histogram for each country in EXCEL Include your ID umber in the title of each histogram c) 6 marks) Prepare a full Descriptive Statistics profile, including Qurile I and Qurile 3. for each d) (4 marks) Based on the histograms in (bl. briefly describe the shape (symmetry, medaliyof the data for each country. Do outliers exist in the data sets Show how you know c) (1 mark) Which measures of contra tendency and dispersion should you se to describe the data for each country? What are their values Give a brief explanation of the reason for your choice (4 marks) On the basis of your results of bhd), are there any differences between the two countries, Justify your wer carefully Diamonds are categorized according to the "four Cs carats, clarity, colour, and cut. Each diamond stone is provided with a certificate that lists these four characteristics when it is sold on the spo t . The following data represent random samples of 20 diamonds sold in two different countries Table Diamonds sold in the open market South Africa VS VSI VSE VVSI VS2 2.95 ----------------- 1.00 0.95 VVS VVSI VVSI 09 094 0.89 091 VVS 0.79 ----- 0.92 VSI 099 078 VVS? VVSI VVS2 VVSI VSI VVS2 VVS2 VS2 VVSI ------- 0.74 0.74 0.83 - 09 a) maks) Identify the variable of interest and classify them by types Answer the following questions using the measurements from the Cascatalogue b) marks) Using an interval of 0.7 carats draw a histogram for each country in EXCEL Include your ID umber in the title of each histogram c) 6 marks) Prepare a full Descriptive Statistics profile, including Qurile I and Qurile 3. for each d) (4 marks) Based on the histograms in (bl. briefly describe the shape (symmetry, medaliyof the data for each country. Do outliers exist in the data sets Show how you know c) (1 mark) Which measures of contra tendency and dispersion should you se to describe the data for each country? What are their values Give a brief explanation of the reason for your choice (4 marks) On the basis of your results of bhd), are there any differences between the two countries, Justify your wer carefully