QUESTION ONE (30 MARKS) A case study was conducted by a blood donation clinic. The mass (in kg) of 40 blood donors is shown in the grouped frequency distribution below. Mass (kg) 40 <60 60 < 80 80 < 100 100 < 120 120 < 140 S Number of donors 4 Q 17 6 5 40 2.1. What is the value of Q? (2 marks) 2.2. Calculate the estimated mean mass of these donors. (8 marks) 2.3. Determine the median mass of these donors. (5 marks) 2.4. Find the modal mass of these donors. (5 marks) 2.5. Compute the standard deviation and interpret the value obtained. (10 marks) END OF PAPER.
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1. What is the value of Q? The total number of donors is 40. The sum of the number of donors in each class is equal to the total number of donors. $$4 + Q + 17 + 6 + 5 = 40$$ Show more…
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QUESTION ONE: A case study was done on 40 athletes in order to determine the optimum daily calorie intake (in kCal) for peak performance. The results are presented in the grouped frequency distribution below. 1.1. Show that Z = 11. (2) 1.2. Calculate the estimated mean daily calorie intake for these 40 athletes. (8) 1.3. Compute the median. (5) 1.4. Determine the mode. (5) 1.5. What information about the skewness of the data can be inferred from your answers to 1.2, 1.3 and 1.4 above? (2) 1.6. Calculate the standard deviation. (8)
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