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.