[GCNU309A Measure of Dispersion ] Worksheet D Programme code/Class/No. : FS C Date : Name : Mark : 1. The monthly revenue of 100 retail stores are presented in the table below. (15 marks) Monthly Revenue Frequency Class Mark Class Boundary ( x $10,000) 15-19 15 17 14.5 - 19.5 20-24 30 2 2 19.5 24 . .5 25-29 25 27 245 - 29.5 30-34 15 32 34: 29.5 - 34.5 35-39 10 37 24: 5 - 39. 5 40-44 5 4Z 35.5- 44. 5 a) Fill in the Class Mark and the Class Boundary columns. (3 marks) (b) Construct a Histogram with the above data. (6 marks) (c) Plot the Frequency Polygon on the same graph. (6 marks)Mathematics 3B(VMA3020) DVE HAKEXIN (10 marks) 2. A sample of 30 families gives the following numbers of TV sets per family : No. of TV sets Frequency (a) Cumulative Frequency 4 1 5 2 13 3 3 4 3 5 2 (a) Complete the Cumulative Frequency column. (3 marks) (b) Calculate the (4 marks) (i) mean, (ii) median of the number of TV sets per family. (c) Which measure is the most appealing (X5]) to the public (2/ L)? (3 marks) Solution:DVE +AXEXIN Mathematics 3B(VMA3020) 3 . A quality control technician inspects 50 batches of MP4 product. The number of (20 marks) defective items in each batch is recorded in the following table and the mean of the data set is 0.64. No. of defective items | Frequency (b) Cumulative Frequency 0 32 9 2 Y 3 3 4 Z (a) Find the values of Y and Z. (8 marks) ( b ) Complete the Cumulative Frequency column. (5 marks) (C ) State the mode and median of the distribution. (4 marks) (d) What is the most appropriate measure of central tendency for this (3 marks) situation? Solution:Mathematics 3B(VMA3020) DVE TURNXA (25 marks) 4. The rents of 60 households are presented in the table below. Rent Frequency Class Lowest Class Cumulative ($1,000) Mark Boundary Frequency 9-13 8 14-18 16 19-23 24 24-28 15 29-33 5 34-38 2 39-43 0 (a) Complete the Class Mark, Lowest Class Boundary and Cumulative Frequency columns in the table. (7 marks) (b) Find the (i) mean (ii) modal class (iii) range of the data set. (6 marks) (c) Draw a cumulative frequency graph for this information. (7 marks) (d ) Find the median of the data. (Round to the nearest whole number) (5 marks Solution:shift DVE HUXAXA Mathematics 3B(VMA3020) 5. The table shows the height and weight of 8 students in a class. (10 marks) Students A B C D E F G H Height (cm) 190 155 175 155 185 165 170 150 Weight (Kg) 90 60 75 55 80 60 70 50 (a) Draw a scatter diagram to represent above data. (6 marks) (b) How can you best describe the relationship between height and weight of students (4 marks) Conclusion: VMA3020_TA_04_Q&Av2.0 Page 5 of 6DVE THANXA Mathematics 3B(VMA3020 6. The pulse rate (Fifty) of patients (JP ) visiting a clinic are recorded below (20 marks) (75, 66, 55, 70, 80, 88, 75, 75, 80, 83, 89, 58, 66, 80, 90, 80, 75, 72, 80} Find the (a) range (3 marks) (b) quartiles (6 marks) (c) inter-quartile range (3 marks) (d) quartile deviation (3 marks) (e) Draw a box plot to show this information. (5 marks) of the data set Solution : ~ End ~