PROVIDE TYPED WRITING SO THAT I CAN UNDERSTAND BETTER.

Kindly reply with correct answers and step by step working.mention clearly about the formula and conversion.do not skip steps.

QMT110 SEPTEMBER 2011

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 50 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 answer.