A recent article in Nairobi Post Weekly Edition indicated that about 80% of the estimated Sh.200 billion of federal housing subsidies consists of tax breaks (mainly deductions for mortgage interest payments and preferential treatment for profits on home sales). Nairobi County housing benefits average Sh.8,268 for those with incomes between Sh.50,000 and Sh.200,000 and Sh.365 for those with income of Sh.40,000 to Sh.50,000. Suppose the standard deviations of the housing benefits in these two categories were equal to Sh.2,750 and Sh.120, respectively. Examine the two standard deviations. What do these indicate about the range of benefits enjoyed by the two groups? [3 marks] Repeat part (i) using the coefficient of variation as the measure of relative variation. A recent article in Nairobi Post Weekly Edition indicated that about 80% of the estimated Sh.200 billion of federal housing subsidies consists of tax breaks (mainly deductions for mortgage interest payments and preferential treatment for profits on home sales). Nairobi County housing benefits average Sh.8,268 for those with incomes between Sh.50,000 and Sh.200,000 and Sh.365 for those with income of Sh.40,000 to Sh.50,000. Suppose the standard deviations of the housing benefits in these two categories were equal to Sh.2,750 and Sh.120, respectively. Examine the two standard deviations. What do these indicate about the range of benefits enjoyed by the two groups? [3 marks] Repeat part (i) using the coefficient of variation as the measure of relative variation.