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.

QMT245 APRIL 2009

QUESTION 1 The speed of 120 cars that drove through a specific sharp corner on a federal road is given in the table below: Speed (km/hour) 60-64 65 -69 70 -74 75 - 79 80 - 84 85 -89 No. of cars 9 14 17 42 29 9 Form the above distribution, a) construct a frequency polygon. (4 marks) b) find the mode and median for this set of grouped data. Explain the meaning of the median value obtained. (7 marks) c) calculate the mean and standard deviation. (6 marks)QUESTION 1 An experiment to determine the number of mushrooms grown according to the incubation temperature was carried out. The results are given in the following table. Temperature (C) 21 - 25 26 -30 31-35 36 - 40 41 - 45 46 - 50 Frequency 15 25 17 6 2 1 a) Construct an ogive using the given frequency distribution. (3 marks) b) Calculate the mean, mode and median. (7 marks) c) Compute the variance and standard deviation. (5 marks)QUESTION 1 a) State whether the following statements are TRUE or FALSE. i) The value of a variance is not affected by extreme values. For any two distributions that have different mean values, the standard deviations can be used to compare the dispersion of the data. in) The distribution of an examination score that is skewed to the left shows that more students score higher marks in the examination. iv ) Every distribution must have at least one modal value. A particular foreign exchange rate reported in a newspaper is an example of a discrete quantitative variable. (5 marks) b) The data below show the monthly expenses, x, on telephone usage among 110 lecturers in Farzie College: Monthly expenses (RM) No. of lecturers 100 5 x