U Mobile Stay Sc VOLTE $ 10 75% 10:52 Sample Questions.... 2 : AAMS1773 QUANTITATIVE STUDIES Sample Questions 1) In one production, a manufacturer took a random sample of 10 pieces spearmint gums and the data below shows the thickness (in mm) of the spearmint gums. 3.3 3.4 3.2 2.9 3.5 2.8 3.5 4.0 3.8 3.5 (i) Calculate the mean, median and mode. Interpret each value. (ii) Calculate the standard deviation. (iii) Calculate the coefficient of variation. b) The following frequency distribution shows the daily allowances (to the nearest RM) of all the 60 workers of a company. Daily allowances (in RM) Frequency 50 -59 60 - 69 16 70 - 79 15 80 - 89 20 90- 5 (i) Calculate the mean and the standard deviation. (ii) Calculate the mode. (iii) Calculate the median. c) A bicycle shop has three different bicycle models: K, L and M. The price category of each model are shown in the following table. Model Price Category Total K L M Reasonable, R 100 120 80 300 Expensive, E 60 90 50 200 Total 160 210 130 500 (i) A bicycle is selected at random from the shop. Find the probability that (1) the bicycle's model is L and it is expensive, (2) the bicycle's model is M or it has a reasonable price, (3) the bicycle is expensive given that its model is K. (ii) Are the events "reasonable price" and "model K" independent? Justify your