Calculate the median amount of money paid . 7. Pandey does statistical analysis for an automobile racing team . The data on fuel consumption ( in km per litre) for the team's cars in recent races are as follows: 14.77 16.11 16.11 15.05 15.99 14.91 15.27 16.01 15.75 14.89 16.05 15.22 16.02 15.24 16.11 15.02 (a) Calculate the mean and median fuel consumption (b) Group the data into five equally-sized classes. What is the fuel consumption value of the modal class ? (c) Which of the three measures of central tendency is best to use ? Explain 8. Ellen Singer asserted to one of her colleagues at Triangle Realty that homes in southern Durham County sold for about $15000 less than similar home in Chapel Hill. To test this assertion, her colleague randomly chosen sales Chapel Hill and matched them with 10 recent sales in Southern Durham County in terms of style, size, age, number of rooms, and size of lot. At 0.05 significance level , do the following data (selling prices in thousands of $) support Ellen's claim ? Chapel 97.3 108.4 135.7 142.3 151.8 158.5 177.4 183.9 195.2 207.6 Hill Durha 81.5 92. 115.8 137.8 150.9 149.2 168.2 173.9 175.9 194.4 Countr 9. A charitable organization decides to give old-age pension to people over sixty years of age. The scales of pension were fixed as follows : Age group Pension / month (Is) 60 -65 200 65-70 250 70-75 300 75-80 350 80-85 400 of 25 persons who secured the pension are as given below 74 62 84 72 61 83 72 81 71 63 61 60 67 74 64 79 73 75 76 69 68 66 67 Calculate the monthly average pension payable per person and the standard deviation 10. In 1992 , a survey of 50 municipal hospitals revealed an average occupancy rate of 73.5 % and the sample standard deviation was 18.2 %. Another survey of 75municapl hospitals in 1995 found an average occupancy rate of 68.9 % and the sample standard deviation was 19.7 %. At 0.05 level of