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 2013

QUESTION 1 The electric bills (RM) for all the schools in Town A are given below: 1100, 990, 1706, 1891, 2050, 1482, 2851, 1231, 1051, 2005, 2511, 1556 a) Find the mean and variance for the above data. (5 marks) b) If the mean and variance of the electric bills for town B are 1450 and 202500 respectively, which town shows more consistent distribution of electric bills? (4 marks) c) State the distribution of the data set by using Pearson's coefficient of skewness. (3 marks) QUESTION 2 The table below shows QMT245 test scores in one of UITM branch campuses. Test score Number of students 16 - 25 5 26 - 35 12 36 - 45 20 46 - 55 30 56 - 65 18 66 - 76 15 a) Construct a frequency polygon and determine the mode. (5 marks) b) Calculate the mean and standard deviation for the scores achieved by this campus, (5 marks) c) Determine the shape of the distribution and comment on your answer.