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 MARCH 2012
QUESTION 1 The following data shows the total marks obtained by students in the QMT class. 88 60 68 76 80 78 85 66 75 85 83 79 70 30 a) Find the mean and standard deviation. (5 marks) b) Determine the first quartile and second quartile. (5 marks) c) By comparing the values of mean and median obtained, state which value is more representative for the above data and explain why. (2 marks) QUESTION 2 A study was conducted to determine the number of minutes customer spent in a certain fast food restaurant on a particular day. The distribution is given as follows: No of minutes spent No of customers 5 - 15 5 16 - 26 10 27- 37 17 38 - 48 25 49 -59 15 60 - 70 8 a) Find the mean and standard deviation of the number of minutes customer spent at the restaurant. (5 marks) b) Calculate the median value and explain its meaning. (4 marks) c) Calculate the Pearson's Coefficient of Skewness and describe the shape of the distribution. (3 marks)QUESTION 1 The following data are the net profit (RM 000) as of January 1. 2000, for 24 cleaning services companies. 18 8 18 18 18 21 16 26 19 15 20 18 18 21 20 22 24 Calculate the average and standard deviation net profit for cleaning services companies (4 marks) b) Compute the median. (2 marks) c) Compute the interquartile range (3 marks) d) Calculate the coefficient of skewness and explain its meanings. (3 marks) QUESTION 2 A 2 Z Consultant is trying for a new scale to calculate productivity level of the estate workers through a series of training. The company wants to know the productivity level of their workers after the training session. Productivity Level Scale No. of workers Very weak |0 and less than 2.0 15 Weak 2.0 and less than 4.0 20 Average 4.0 and less than 6.0 40 Good 6.0 and less than 8.0 52 Very Good | 8.0 and less than 10.0 43 a) Calculate the mean and standard deviation for the productivity level the training. (5 marks) b) Compute the mode productivity level of the workers (3 marks) c) Given average and variance the scale for the productivity level of the worker before training was 5.17 and 6.54 respectively, what can you conclude about the training? (4 marks)QUESTION 1 The data below shows the amount spent in RM by several students in one semester on their academic books. 252 334 243 123 363 377 248 328 333 264 302 a) Compute the mean and the variance amount spent by the students. (5 marks) b) 75% of the students had spent their money less than RM X and another more than RM X. What is the position stated? Determine the value of X. (3 marks) c) Calculate the Pearson's coefficient of skewness. Hence, state the distribution of amount spent. (4 marks) QUESTION 2 The following table shows the efficiency test scores for a group of new factory operators. Test score Number of operators 20 and less than 30 6 30 and less than 40 11 40 and less than 50 18 50 and less than 60 25 60 and less than 70 17 70 and less than 80 13 a) Calculate the mean and standard deviation for the score obtained by the factory operators. (5 marks) b) What is the score obtained by majority of the operators? (3 marks) c) Determine the shape of the distribution and comment your
