This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
4. a) Count and write the number of votes for each of the towns Given: HHH shows 5 voters, I shows 1 voter. Step 1: Count votes for Town A. Tally marks: HHH HHH HHH HHH IIII Number of HHH groups: 4 Number of I marks: 4 Total votes for A = (4 × 5) + (4 × 1) = 20 + 4 = 24. Town A: 24 votes Step 2: Count votes for Town B. Tally marks: HHH HHH HHH HHH HHH HHH I Number of HHH groups: 6 Number of I marks: 1 Total votes for B = (6 × 5) + (1 × 1) = 30 + 1 = 31. Town B: 31 votes Step 3: Count votes for Town C. Tally marks: HHH HHH HHH HHH HHH Number of HHH groups: 5 Number of I marks: 0 Total votes for C = (5 × 5) + (0 × 1) = 25 + 0 = 25. Town C: 25 votes Step 4: Count votes for Town D. Tally marks: HHH HHH HHH IIII Number of HHH groups: 3 Number of I marks: 4 Total votes for D = (3 × 5) + (4 × 1) = 15 + 4 = 19. Town D: 19 votes Step 5: Count votes for Town E. Tally marks: HHH HHH HHH HHH HHH IIII Number of HHH groups: 5 Number of I marks: 4 Total votes for E = (5 × 5) + (4 × 1) = 25 + 4 = 29. Town E: 29 votes 4. b) Draw a histogram showing the pooling stations and the number of votes To draw a histogram: • Draw two axes. The horizontal axis (x-axis) will represent the Pooling Stations (Towns A, B, C, D, E). The vertical axis (y-axis) will represent the Number of Votes. • Label the x-axis with the town names (A, B, C, D, E) at the center of each bar. • Choose an appropriate scale for the y-axis, starting from 0. Since the highest number of votes is 31, a scale where each unit represents 2 or 5 votes would be suitable (e.g., 0, 5, 10, 15, 20, 25, 30, 35). • For each town, draw a rectangular bar whose height corresponds to the number of votes counted in part a). The bars should be of equal width and typically touch each other in a histogram if the x-axis represents continuous data, but for categorical data like towns, they can be separated. Here are the data points for your histogram: • Town A: 24 votes • Town B: 31 votes • Town C: 25 votes • Town D: 19 votes • Town E: 29 votes 3 done, 2 left today. You're making progress.