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 APRIL 2009

QUESTION 1 A group of 25 people played a game. The table below shows the frequency distribution of their scores, Score 2 Number of people 2 7 5 Given that the mean score is 5 a) find the value of x (4 marks) b) find the first quartile and standard deviation of the scores (6 marks) c) calculate the Pearson's coefficient of skewness and explain the meaning of the value obtained. (5 marks) QUESTION 2 The table below shows the time taken by 38 volunteers to perform task A. Time (seconds) Number of volunteers 0 - 10 2 10 - 20 10 20 - 30 7 30 -40 15 40 -50 2 50 -60 2 a) Find the mean and standard deviation of time taken to complete task A. (6 marks) b) Calculate the mode of time taken to perform task A and explain its meaning. (4 marks) C) Given the mean and standard deviation of time taken to perform task B are 25.25 seconds and 13.15 seconds respectively. Determine which of the two tasks has a more dispersed time taken