GIVE TYPED WRITING SO I CAN UNDERSTAND CLEARLY.
Kindly give correct answers and step by step working.do not skip steps.Mention clearly about the formula and the conversion.be very clear.do not skip steps.be very clear.NUMBER THE Ans CLEARLY.
QMT110 OCT2008
QUESTION 1 A researcher would like to investigate the amount of personal debts outstanding of residents in a selected month for a selected residential area. A random sample of 17 residents is taken. Data below shows their personal debts outstanding(in RM hundred). 7.85 12.56 23.91 43.06 10.23 9.76 15.25 26.17 8.92 56.14 16.56 8.65 1700.42 36.13 64.02 31.09 11.53 Calculate the mean and standard deviation. (8 marks) b) Find the median and third quartile. (4 marks) c) Compare the value of the mean with the value of the median obtained. State which value is more representative of the data above and explain why. (3 marks) QUESTION 2 A postmaster in town S is required to find some information concerning the number of letters they have to deliver to residents in that area daily. Number of letters Number of observed days 301 until 350 O N 351 until 400 401 until 450 10 451 until 500 501 until 550 a) Calculate the mean and standard deviation. (6 marks) b) Determine the median, first quartile and mode. (6 marks) c) Town W has a mean and standard deviation of 657 and 45 number of letters to deliver. By calculating the coefficient of variation of town S, determine which of the two towns has a more dispersed number of letters to deliver. (3 marks)QUESTION 1 Data below show the phone bills in RM of 19 households selected at random from a residential area 260 195 96 430 153 520 210 89 127 320 320 200 105 320 70 127 103 74 142 Calculate the following: a) the median and the mode. (5 marks) b) the mean and standard deviation. (6 marks) c) the quartile deviation. (4 marks) QUESTION 2 The agricultural department in Village Turi obtained the following information on the monthly net income received by 50 farmers selected at random from the village. Net income(RM) Number of farmers 400 but less than 3 600 but less than 800 800 but less than 1000 15 1000 but less than 1200 10 1200 but less than 1400 1400 but less than 1600 Find the mean and the standard deviation. (6 marks) b) Calculate the median and the third quartile. (6 marks) c) Given that Village Sawi has a mean net income of RM 1350 and standard deviation of RM 70. By calculating the coefficient of variation for both villages, determine which village has a more stable net income
